Decimals

Problem 201

Instrucción VI: Expresa las siguientes cantidades en notación científica a su forma decimal o entera. a) $5.3 \times 10^{4}=$ b) $3.2 \times 10^{-6}=$ c) $7.86 \times 10^{8}=$ d) $2 \times 10^{-3}=$ e) $5 \times 10^{3}=$ f) $5.3 \times 10^{-4}=$

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Problem 202

Solve these problems. Remember to write number sentences. (9)
Mr. Trueword ordered 3 new literature books. The first one cost $\$ 7.76$ , the second one cost $\$ 5.95$ , and the third one cost $\$ 12.35$ . Round each amount to the nearest dollar, and estimate to see about how much the three books cost. (10) Christi spent $\$ 14.87$ for a gift. She handed the clerk a twenty-dollar bill. Round the price of the gift to the nearest dollar; then estimate to see about how much change Christi should get back.

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Problem 203

Write the amounts in words. (1) $\$ 9.36$ $\qquad$ (2) $\$ 12.75$ $\qquad$ (3) $\$ 17.14$ $\qquad$ (4) $\$ 3.49$ $\qquad$ (5) $\$ 0.98$ $\qquad$ (6)-10) Using play money, show your supervisor the amounts of dollars and cents in activities (1)-(5). Try to use the least number of dollars and coins for each amount. For example, for $\$ 9$ , use a fivedollar bill and 4 one-dollar bills rather than using 9 one-dollar bills. For 36 cents, use a quarter, a dime, and a penny.
Round the amounts in activities $(1)-(5)$ to the nearest dollar. (11) $\qquad$ (12) $\qquad$ (13) $\qquad$ (14) $\qquad$ (15) $\qquad$ Write your answers on the blanks. For her Sunday school class, Mrs. Gentle bought 20 bookmarks that cost $\$ 0.79$ each. Șe bought 20 small calendars that cost $\$ 2.19$ each. She also bought 2 dozen rulers with Scripture verses that cost $\$ 5.67$ a dozen. Round each amount to the nearest dollar, and multiply to find the estimated costs of the items. Then find the exact costs of the items.
Estimate Exact (16) bookmarks $\qquad$ $\qquad$ (17) calendars $\qquad$ $\qquad$ (18) rulers $\qquad$ $\qquad$ (19) What is the total estimated cost? $\qquad$ ${ }^{(20)}$ What is the total exact cost? $\qquad$ ${ }^{\text {(21) Using the total exact cost, find how much }}$ change she received from $\$ 75.00$ . $\qquad$

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Problem 204

Add or subtract dollars and cents. (10) $\begin{array}{r}\$ 27.64 \\ +\quad 36.57 \\ \hline\end{array}$ (11) $\$ 43.39$ (12) $\$ 6.58$ (13) $\$ 92.36$ (14) $\quad \$ 8.07$ $\begin{array}{r}\$ 8.07 \\ -\quad 3.29 \\ \hline\end{array}$
Write dollars and cents in columns; then add or subtract. (15) $\$ 38.94+5.27=$ (16) $\$ 64.21-45.59=$ $1171 \$ 7.40-4.55=$

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Problem 205

nvert the fraction below into a decimal $\frac{13}{15}$
Answer Attempt 1 out of 3
Edit the repeating and non-repeating part of th
0. $\qquad$ Submit Answer

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Problem 206

Put these numbers in order from greatest to least. -5 $\frac{3}{8}$ $\frac{37}{40}$ 5.625 $5 \frac{37}{40}$ Submit

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Problem 207

$9 / 4 * 2.0-5 / 4$

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Problem 208

Put these numbers in order from greatest to least.
19 $19 \frac{30}{40}$ 0.16 $-0.65$ 19.24 Submit

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Problem 209

Put these numbers in order from greatest to least. $19 \frac{30}{40}$ 19 0.16 $-0.65$ 19.24 Submit

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Problem 210

Put these numbers in order from least to greatest. 0.7 0.5 $-69 \frac{8}{40}$
Submit

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Problem 211

Put these numbers in order from greatest to least. $-88 \frac{3}{15}$ $88 \frac{9}{10}$ 88.6 $88 \frac{32}{40}$ $-\frac{18}{30}$ Submit

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Problem 212

Which statement is correct? $\left(2.06 \times 10^{-2}\right)\left(1.88 \times 10^{-1}\right)<\frac{7.69 \times 10^{-2}}{2.3 \times 10^{-5}}$ $\left(2.06 \times 10^{-2}\right)\left(1.88 \times 10^{-1}\right) \geq \frac{7.69 \times 10^{-2}}{2.3 \times 10^{-5}}$ $\left(2.06 \times 10^{-2}\right)\left(1.88 \times 10^{-1}\right)>\frac{7.69 \times 10^{-2}}{2.3 \times 10^{-5}}$ $\left(2.06 \times 10^{-2}\right)\left(1.88 \times 10^{-1}\right)=\frac{7.69 \times 10^{-2}}{2.3 \times 10^{-5}}$

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Problem 213

$8.5 \times \$ 99.99=$ $\$ 91.49$ $\$ 108.49$ $\$ 11.76$ 584992

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Problem 214

9. Add: $\frac{-5}{6}+0.25=$

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Problem 215

Two decimal numbers are represented by the models below. A grid is equal to 1. (A) 4.52 (B) 4.60 (C) 5.49 (D) 5.62

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Problem 216

2. Alex had $\$ 693.27$ in her bank account. She withdrew moncy from the account to pay $\$ 123.54$ for her electric bill and $\$ 98.66$ for groceries. How much money was left in Alex's account after she made these withdrawals? A $\$ 471.07$ B $\$ 569.73$ C $\$ 594.61$ D $\$ 791.93$

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Problem 217

Do a double "T" account for each.
1. $\$ 15,000$ equipment purchased with cash

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Problem 218

Since 1871 , the normal internal body temperature for human beings has been $98.6^{\circ} \mathrm{F}$ . This average was based on over a million measurements analyzed by a German physician, Carl Reinhold August Wunderlich. However, in 2020 researchers at Stanford University published a report claiming normal body temperature has dropped since the Industrial Revolution. Analyzing almost 700 000 temperature readings from 1862 to 2017 , the researchers found the average body temperature has decreased by $0.03^{\circ} \mathrm{C}$ per decade. The new average body temperature was found to be $97.9^{\circ} \mathrm{F}$ . What is this temperature in (a) Celsius, and (b) Kelvin? (a) Number i $\square$ Units $\square$ (b) Number i $\square$ Units $\square$

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Problem 219

Subtract. $-7.8-9.4=$

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Problem 220

Assume you have a balance of $\$ 1600$ on a credit card with an APR of $21 \%$ , or $1.75 \%$ per month. You start making monthly payments of $\$ 200$ , but at the same time you charge an additional $\$ 30$ per monih io the credit card. Assume that interest for a given month is based on the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the fable to show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit card debt?
Fill out the table row by row, and continue until the last full payment. (Round to the nearest cent as needed.) \begin{tabular}{cccc} Month & Payment & Expenses & Interest \\ 0 & - & - & - \\ 1 & $\$ 200$ & $\$ 30$ & $0.0175 \times \$ 1600=\$ 28.00$ \\ 2 & $\$ 200$ & $\$ 30$ & $\$ 25.53$ \\ 3 & $\$ 200$ & $\$ 30$ & $\$ 4$ \end{tabular}
New Balance \ $1600$ \ $1600-\$ 200+\$ 30+\$ 28.00=\$ 1458.00$ \ $1313.53$ \ $\square$

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Problem 221

Question Divide: $93.0 \div 15$ .

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Problem 222

Divide: $1.484 \div 0.28$ .

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Problem 223

$53 / 5 /(0.6+1.4) / 2+13 / 2$

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Problem 224

A 7-day holiday in Thailand in October 2023 cost $£ 998.00$ . The exchange rate is $£ 1=40.91$ Thai Baht (THB). (v) Which one of the following was the cost of the holiday in Thai Baht?
Select one answer. A 24.40 B 1038.91 C 40828.18 D 40869.09

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Problem 225

25. Indicate whether the decimal equivalent for the rational number is a repeating decitont or a terminating decimal. \begin{tabular}{l|l|l} Rational Number & Repeating Decimal & Terminating Decimal \\ \hline $\frac{3}{8}$ & & \\ \hline $\frac{3}{11}$ & & \\ \hline $-\frac{17}{14}$ & & \\ \hline $-\frac{7}{32}$ & & \\ \hline $-\frac{11}{36}$ & & \\ \hline \end{tabular}

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Problem 226

$5.7 \times 10^{5}$

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Problem 227

\frac{\text { Hints }}{5 \longdiv { . 0 1 3 5 }}

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Problem 228

Exercises
1. Clara Gorbea's March credit cand statement had a previous balance of $\$ 185.86$ , new purchases of $\$ 216.39$ , a membership fee of $\$ 25$ , a finance charge of $\$ 4.76$ , and a payment of $\$ 200$ . What was her new balance?

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Problem 229

3. Ti Barlow checked his credit card statement and found that a sales slip dated $5 / 3$ for $\$ 121.56$ was posted as $\$ 125.16$ . He also found that a purchase for $\$ 75.92$ dated $5 / 19$ was unauthorized. The new balance on his statement was $\$ 541.33$ . What is the correct new balance?

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Problem 230

5. A scale model has been built of downtown Calgary. The TD Canada Trust Building is 16.6 cm tall and the Nexen Building is 15.0 cm tall. If the scale used is $1 \mathrm{~cm}: 10 \mathrm{~m}$ , what is the actual difference in the heights of the two buildings?

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Problem 231

How much money does Emily need to buy a tennis ticket, a hockey ticket, and a baseball ticket? \begin{tabular}{|ll|} \hline tennis ticket & $\$ 41.10$ \\ \hline baseball ticket & $\$ 17.64$ \\ \hline hockey ticket & $\$ 62.97$ \\ \hline golf ticket & $\$ 97.83$ \\ \hline soccer ticket & $\$ 34.01$ \\ \hline \end{tabular}

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Problem 232

Express each of the following as decimals. a. $\frac{7}{2^{6}}$ b. $\frac{1}{2^{3} \cdot 5^{4}}$

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Problem 233

16) Solve the word problem.
Evan has 25.5 kilograms of dirt. If he adds 14.1 kilograms, how many 2.2 kilogram containers can he fill? 17 containers 16 containers 18 containers 17.5 containers

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Problem 234

8. Select the correct quotient. $0.01224 \div 0.0018$ 06.80 6.7 6.8 06.8

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Problem 235

11. Multiply $(-2.5) \cdot 4.13$ $-103.25$ 10.325 103.25 $-10.325$

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Problem 236

17. Estimate the answer. Find the actual answer. $5.54+3.2$
Estimate: $\qquad$
Actual: $\qquad$

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Problem 237

Actual: 8.74
18. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. $(-1.3) \cdot(-0.05)=+-0065$ $\square$ $\qquad$

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Problem 238

19. Solve the word problem.
Ellen ran 25.3 miles in 11 days. How many miles did she run each day? 2.4 3.3 2.3 2.2

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Problem 239

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } $\qquad$
5 \longdiv { 5 5 . 2 0 0 }
5 \longdiv { 5 . 5 2 0 0 }
5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

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Problem 240

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } \longrightarrow $\qquad$
5 \longdiv { 5 5 . 2 0 0 }
5 \longdiv { 5 . 5 2 0 0 }
5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

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Problem 241

24. Select the correct quotient. $2.21 \div 0.34$ 5.5 6.5 06.5 006.5

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Problem 242

Convert to scientific notation. $0.3=$ $\square$ $\square$ 10

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Problem 243

Convert to scientific notation. $0.000046=$

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Problem 244

Convert to standard form. $4 \times 10^{-6}=$

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Problem 245

$0.00008=$

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Problem 246

The length, $l$ , of a pencil is 13 cm to the nearest centimetre $(\mathrm{cm})$ .
What number should go in the box to complete the error interval? $12.5 \mathrm{~cm} \leq l<$ $\square$ cm

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Problem 247

$\begin{array}{r}49.63 \\ \times \quad 43 \\ \hline\end{array}$

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Problem 248

In a room of 101 people, the probability that everyone has a different birthday is approximately $2.23 \times 10^{-7}$ .
Write this probability as an ordinary number, giving your answer as a decimal.

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Problem 249

Convert the following measurement. 0.74 liters to kiloliters

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Problem 250

20. Jessica had to take her cat to the vet for emergency surgery which cost $\$ 400.00$ . She doesn't have the cash to pay right now but expects to be able to pay off any loan in 30 days. Here are her options for payment: - She can pay in instalments. The vet will let her make monthly payments of $\$ 100.00$ for 4 months plus an administration fee of $\$ 20.00$ . - She can borrow the money from her bank on her personal line of credit at an interest rate of $8 \%$ per annum. - She can get a payday loan at an interest rate of $1 \%$ per day. a. Calculate the total cost of each payment option. Show FSS and clearly indicate which option is which.

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Problem 251

Jacob knows that $\frac{1}{20}$ means " 1 divided by 20. " He uses this to find the decimal equivalent for $\frac{1}{20}$ . Enter a digit into each box to complete his work. $\square$

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Problem 252

should he record?

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Problem 253

true? write the values below in order from least to greatest. \begin{tabular}{|l|l|l|} \hline $\frac{3}{4}$ & 0.2 & 0.05 \\ \hline \end{tabular}

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Problem 254

$-0.5 \times 7.4=$ Submit

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Problem 255

$6.5+1.4$ itiply

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Problem 256

Indira's Clothing Shop Orders \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{ Item } & Quantity & Price \\ \hline T-shirt & 50 & $\$ 392.50$ \\ \hline Sweater & 25 & $\$ 440.25$ \\ \hline \end{tabular}
Indira can order T-shirts and sweaters at the prices and quantities shown in the table. By how much does the price of one sweater exceed the price of one T-shirt?

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Problem 257

My Homework undependent Practice $\qquad$ Go online for Step-
Write each fraction as a decimal. Use bar notation if necessary. (Examples 1-3) $11 \frac{7}{15}=$ $\qquad$ 2. $\frac{8}{18}=$ $\qquad$ 3. $-\frac{8}{12}=$ $\qquad$

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Problem 258

What is the product of $3.456 \times 1.3$ ? 44.928 0.4928 4.4928 449.28

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Problem 259

What is the quotient when 2.375 is divided by $0.05 ?$ 47.5 5.55 4.75 44.35

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Problem 260

()) Divide. Give the exact answer, written as a decimal. 4 \longdiv { 0 . 7 8 }

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Problem 261

Multiply: $9.728 \times 10,000=?$
972,800
97,280,000
97,280
9,728

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Problem 262

15 हुतात There are over 2,700 species of snakes in the world. Over 600 species are venomous. Write the fraction of species that are not venomous as a decimal. $\qquad$
16. Justify Conclusions The ratio of the distance around a circle to the distance across a circle through its center is represented by the number $\pi$ . The number $\pi$ is a decimal that does not repeat. The fraction $\frac{22}{7}$ is sometimes used as an estimate for $\pi$ . Is $\frac{22}{7}$ a repeating decimal? Explain.

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Problem 263

13. Choose the correct quotient for each expression. 15. \begin{tabular}{|l|c|c|c|c|} \hline & 0.708 & 7.08 & 0.078 & 0.78 \\ \hline $0.78 \div 10$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $7.080 \div 10^{3}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $70.8 \div 10^{2}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $780 \div 10^{3}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

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Problem 264

13. Choose the correct quotient for each expression. 15. \begin{tabular}{|l|c|c|c|c|} \hline & 0.708 & 7.08 & 0.078 & 0.78 \\ \hline $0.78 \div 10$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $7.080 \div 10^{3}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $70.8 \div 10^{2}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline $780 \div 10^{3}$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

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Problem 265

Calculate the energy required to heat 368.0 g of aluminum from $0.3^{\circ} \mathrm{C}$ to $18.5^{\circ} \mathrm{C}$ . Assume the specific heat capacity of aluminum under these conditions is $0.903 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Be sure your answer has the correct number of significant digits.

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Problem 266

Rewrite the number In standard notation. $9.999 \times 10^{6}=$

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Problem 267

Select the values that make the inequality $u \geq 8$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 2 0 3 5 7 $7 \cdot 9$ 7.99 7.999 8 8.001 8.01 8.1 9 11 13 16 Submit Answer

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Problem 268

Listen
Evaluate the expression. $2.9(4.35-0.7)=$ $\square$

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Problem 269

Express the percent as a decimal. $\begin{array}{l} 69 \frac{1}{2} \% \\ 69 \frac{1}{2} \%= \end{array}$ $\square$ (Type an integer or a decimal.)

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Problem 270

Evaluate the expression when $w=-8.8, x=2$ , and $z=-4.9$ . $w+x+z$

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Problem 271

Work the problem and type the correct answer into the box below. (round answer to two decimal places) $5 / 9 \times 23.26=$

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Problem 272

2. $7-(-5.4)=$

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Problem 273

Multiply. Show Your Work. $15.05 \times 41=$

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Problem 274

$\frac{3}{5}-0.4$

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Problem 275

Provincial Park. The store sells a case of 12 bottles of water for $\$ 8.50$ and individual bottles of the same brand of water for $\$ 1.55$ . cosd 12 ladstes $=12 \times \$ 155=$ a) Approximately how much does each bottle of water in the case of 12 cost? (2) $=18.60$ b) How much would a customer save by buying a case of water, rather than 12 individual bottles? (2)

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Problem 276

Evaluate. Express your answer as a decimal. Round the answer to the nearest hundredth. $\frac{3}{5}-\frac{4}{7}+\frac{2}{13} \approx \square$

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Problem 277

2. Ashley is going roller skating with 4 of her friends. If the rink charges $\$ 5$ per person and rents skates for $\$ 2.75$ per person, how much would it cost them?

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Problem 278

You Be the Teacher is your friend correct? Explain. \begin{array}{r} 13.4 \\ 1 6 \longdiv { 2 1 . 4 4 } \\ -16 \downarrow \\ \hline 54 \\ -48 \\ \hline 64 \\ -64 \\ \hline 0 \end{array}

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Problem 279

Concept CHECK Find the total deposit. Check your answers in the back of the book.
1. Emily Anderson's deposit includes two checks: $\$ 231.09$ and \ $987.67; cash: 9 one-dollar bills, 9 five-dollar bills, 8 ten-dollar bills, 14 quarters, 25 dimes, 18 nickels, and 64 pennies. She received$ \ $40.00$ cash from the total amount.
2. Jacob Thomas had a deposit of two checks: $\$ 341.79$ and $\$ 17.96$ ; cash: 35 one-dollar bills, 17 five-dollar bills, 44 ten-dollar bills, 54 quarters, 36 dimes, 32 nickels, and 21 pennies.

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Problem 280

A radiation therapy machine delivers a dose tions of radiation to a patient in 2.5 minutes.
If the machine delivers radiation at a constant raté of 0.05 Gray per second (Gy/s), how much Gray (Gy) of radiation will the patient receive during the 2.5 minute treatment? 0.125 Gy 0.002 Gy st Simulations tice Tests 7.5 Gy 50 Gy
Check

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Problem 281

Kareem wrote the expressions shown below. $\lceil 3.27\lfloor 2.7\rfloor\lceil 2.9\rceil\lfloor 4.8\rfloor$ Which pair is equivalent? $\lfloor 2.7\rfloor$ and 〔3.2〕〔2.97 and 【2.7〕 $\lceil 3.2\rceil$ and $\lceil 2.9\rceil$ $\lfloor 4.8\rfloor$ and $\lceil 3.2\rceil$

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Problem 282

Al simplificar la expresión $\sqrt{0.0001 \times 128}$ , ¿cuál es el resultado?

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Problem 283

Convierte la masa de $0.000320 \mathrm{~kg}$ a notación científica. ¿Cuál es la opción correcta? a. $3.2 \times 10^{-4} \mathrm{~kg}$ b. $3.20 \times 10^{-3} \mathrm{~kg}$ c. $3.2 \times 10^{-6} \mathrm{~kg}$ d. $3.20 \times 10^{-5} \mathrm{~kg}$

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Problem 284

Convierte $274518 \mathrm{~cm}^{3}$ a $\mathrm{m}^{3}$ y elige la respuesta correcta: a. $0,274518 \mathrm{~m}^{3}$ b. $0,00274518 \mathrm{~m}^{3}$ c. $0,0274518 \mathrm{~m}^{3}$ d. $0,000274518 \mathrm{~m}^{3}$

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Problem 285

Find the largest number in these sets: 1) {1.12, -18, -1} 2) {0, -10, 10} 3) {-4, -5.5, -5}

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Problem 286

The weight of powder is $84.2 \mathrm{~g}$ , rounded to the nearest $0.1 \mathrm{~g}$ . Find the range of actual weight $W$ .

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Problem 287

Calculate the moles of sodium in $30.7 \mathrm{~g}$ . Provide the answer with the correct significant digits.

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Problem 288

A company lost \$2.5 million annually for 4 years and gained \$2.8 million annually for 5 years. Find the total gain or loss.

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Problem 289

Calculate the sum: $20.35 + 5.5 =$

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Problem 290

Calculate $20.35 \div 5.5$ .

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Problem 291

Calculate the product of 47.75 and 41.71. What is $47.75 \times 41.71$ ?

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Problem 292

Calculate the product of 96.45 and 83.16. What is $96.45 \times 83.16$ ?

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Problem 293

Calculate the product of 74.25 and 34.19. What is $74.25 \times 34.19$ ?

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Problem 294

Calculate the product of 15.33 and 88.64. What is $15.33 \times 88.64$ ?

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Problem 295

Multiply 15.332 by 88.64. What is the result?

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Problem 296

Multiply 61.78 by 80.84. What is the result?

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Problem 297

Calculate the product of 91.78 and 80.84. What is $91.78 \times 80.84$ ?

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Problem 298

Calculate $10^{-5} \cdot 11.13$ .

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Problem 299

Calculate the value of $\sqrt{1.67}$ .

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Problem 300

Determine the sign of the sum $46.2 + 112.3$ .

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1 2 3 4 5 6 ...17

Decimals

Problem 201

Problem 202

Problem 203

Problem 204

Problem 205

nvert the fraction below into a decimal 1315\frac{13}{15}1513​Answer Attempt 1 out of 3Edit the repeating and non-repeating part of th0. \qquad Submit Answer

Problem 206

Put these numbers in order from greatest to least. -5 38\frac{3}{8}83​ 3740\frac{37}{40}4037​ 5.625 537405 \frac{37}{40}54037​ Submit

Problem 207

9/4∗2.0−5/49 / 4 * 2.0-5 / 49/4∗2.0−5/4

Problem 208

Put these numbers in order from greatest to least.19 19304019 \frac{30}{40}194030​ 0.16 −0.65-0.65−0.65 19.24 Submit

Problem 209

Put these numbers in order from greatest to least. 19304019 \frac{30}{40}194030​ 19 0.16 −0.65-0.65−0.65 19.24 Submit

Problem 210

Put these numbers in order from least to greatest. 0.7 0.5 −69840-69 \frac{8}{40}−69408​Submit

Problem 211

Put these numbers in order from greatest to least. −88315-88 \frac{3}{15}−88153​ 8891088 \frac{9}{10}88109​ 88.6 88324088 \frac{32}{40}884032​ −1830-\frac{18}{30}−3018​ Submit

Problem 212

Problem 213

8.5×$99.99=8.5 \times \$ 99.99=8.5×$99.99= $91.49\$ 91.49$91.49 $108.49\$ 108.49$108.49 $11.76\$ 11.76$11.76 584992

Problem 214

9. Add: −56+0.25=\frac{-5}{6}+0.25=6−5​+0.25=

Problem 215

Two decimal numbers are represented by the models below. A grid is equal to 1. (A) 4.52 (B) 4.60 (C) 5.49 (D) 5.62

Problem 216

Problem 217

Do a double "T" account for each.1. $15,000\$ 15,000$15,000 equipment purchased with cash

Problem 218

Problem 219

Subtract. −7.8−9.4=-7.8-9.4=−7.8−9.4=

Problem 220

Problem 221

Question Divide: 93.0÷1593.0 \div 1593.0÷15.

Problem 222

Divide: 1.484÷0.281.484 \div 0.281.484÷0.28.

Problem 223

53/5/(0.6+1.4)/2+13/253 / 5 /(0.6+1.4) / 2+13 / 253/5/(0.6+1.4)/2+13/2

Problem 224

A 7-day holiday in Thailand in October 2023 cost £998.00£ 998.00£998.00. The exchange rate is £1=40.91£ 1=40.91£1=40.91 Thai Baht (THB). (v) Which one of the following was the cost of the holiday in Thai Baht?Select one answer. A 24.40 B 1038.91 C 40828.18 D 40869.09

Problem 225

Problem 226

5.7×105 5.7 \times 10^{5} 5.7×105

Problem 227

\frac{\text { Hints }}{5 \longdiv { . 0 1 3 5 }}

Problem 228

Exercises1. Clara Gorbea's March credit cand statement had a previous balance of $185.86\$ 185.86$185.86, new purchases of $216.39\$ 216.39$216.39, a membership fee of $25\$ 25$25, a finance charge of $4.76\$ 4.76$4.76, and a payment of $200\$ 200$200. What was her new balance?

Problem 229

Problem 230

5. A scale model has been built of downtown Calgary. The TD Canada Trust Building is 16.6 cm tall and the Nexen Building is 15.0 cm tall. If the scale used is 1 cm:10 m1 \mathrm{~cm}: 10 \mathrm{~m}1 cm:10 m, what is the actual difference in the heights of the two buildings?

Problem 231

Problem 232

Express each of the following as decimals. a. 726\frac{7}{2^{6}}267​ b. 123⋅54\frac{1}{2^{3} \cdot 5^{4}}23⋅541​

Problem 233

16) Solve the word problem.Evan has 25.5 kilograms of dirt. If he adds 14.1 kilograms, how many 2.2 kilogram containers can he fill? 17 containers 16 containers 18 containers 17.5 containers

Problem 234

8. Select the correct quotient. 0.01224÷0.00180.01224 \div 0.00180.01224÷0.0018 06.80 6.7 6.8 06.8

Problem 235

11. Multiply (−2.5)⋅4.13(-2.5) \cdot 4.13(−2.5)⋅4.13 −103.25-103.25−103.25 10.325 103.25 −10.325-10.325−10.325

Problem 236

17. Estimate the answer. Find the actual answer. 5.54+3.25.54+3.25.54+3.2Estimate: \qquadActual: \qquad

Problem 237

Actual: 8.7418. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. (−1.3)⋅(−0.05)=+−0065(-1.3) \cdot(-0.05)=+-0065(−1.3)⋅(−0.05)=+−0065 □\square□ \qquad

Problem 238

19. Solve the word problem.Ellen ran 25.3 miles in 11 days. How many miles did she run each day? 2.4 3.3 2.3 2.2

Problem 239

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } \qquad5 \longdiv { 5 5 . 2 0 0 }5 \longdiv { 5 . 5 2 0 0 }5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

Problem 240

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } \longrightarrow \qquad5 \longdiv { 5 5 . 2 0 0 }5 \longdiv { 5 . 5 2 0 0 }5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

Problem 241

24. Select the correct quotient. 2.21÷0.342.21 \div 0.342.21÷0.34 5.5 6.5 06.5 006.5

Problem 242

Convert to scientific notation. 0.3=0.3=0.3= □\square□ □\square□ 10

Problem 243

Convert to scientific notation. 0.000046=0.000046=0.000046=

Problem 244

Convert to standard form. 4×10−6=4 \times 10^{-6}=4×10−6=

Problem 245

0.00008=0.00008=0.00008=

nvert the fraction below into a decimal $\frac{13}{15}$
Answer Attempt 1 out of 3
Edit the repeating and non-repeating part of th
0. $\qquad$ Submit Answer

Put these numbers in order from greatest to least. -5 $\frac{3}{8}$ $\frac{37}{40}$ 5.625 $5 \frac{37}{40}$ Submit

$9 / 4 * 2.0-5 / 4$

Put these numbers in order from greatest to least.
19 $19 \frac{30}{40}$ 0.16 $-0.65$ 19.24 Submit

Put these numbers in order from greatest to least. $19 \frac{30}{40}$ 19 0.16 $-0.65$ 19.24 Submit

Put these numbers in order from least to greatest. 0.7 0.5 $-69 \frac{8}{40}$
Submit

Put these numbers in order from greatest to least. $-88 \frac{3}{15}$ $88 \frac{9}{10}$ 88.6 $88 \frac{32}{40}$ $-\frac{18}{30}$ Submit

$8.5 \times \$ 99.99=$ $\$ 91.49$ $\$ 108.49$ $\$ 11.76$ 584992

9. Add: $\frac{-5}{6}+0.25=$

Do a double "T" account for each.
1. $\$ 15,000$ equipment purchased with cash

Subtract. $-7.8-9.4=$

Question Divide: $93.0 \div 15$ .

Divide: $1.484 \div 0.28$ .

$53 / 5 /(0.6+1.4) / 2+13 / 2$

A 7-day holiday in Thailand in October 2023 cost $£ 998.00$ . The exchange rate is $£ 1=40.91$ Thai Baht (THB). (v) Which one of the following was the cost of the holiday in Thai Baht?
Select one answer. A 24.40 B 1038.91 C 40828.18 D 40869.09

$5.7 \times 10^{5}$

Exercises
1. Clara Gorbea's March credit cand statement had a previous balance of $\$ 185.86$ , new purchases of $\$ 216.39$ , a membership fee of $\$ 25$ , a finance charge of $\$ 4.76$ , and a payment of $\$ 200$ . What was her new balance?

5. A scale model has been built of downtown Calgary. The TD Canada Trust Building is 16.6 cm tall and the Nexen Building is 15.0 cm tall. If the scale used is $1 \mathrm{~cm}: 10 \mathrm{~m}$ , what is the actual difference in the heights of the two buildings?

Express each of the following as decimals. a. $\frac{7}{2^{6}}$ b. $\frac{1}{2^{3} \cdot 5^{4}}$

16) Solve the word problem.
Evan has 25.5 kilograms of dirt. If he adds 14.1 kilograms, how many 2.2 kilogram containers can he fill? 17 containers 16 containers 18 containers 17.5 containers

8. Select the correct quotient. $0.01224 \div 0.0018$ 06.80 6.7 6.8 06.8

11. Multiply $(-2.5) \cdot 4.13$ $-103.25$ 10.325 103.25 $-10.325$

17. Estimate the answer. Find the actual answer. $5.54+3.2$
Estimate: $\qquad$
Actual: $\qquad$

Actual: 8.74
18. The problem already has the answer. Select the correct sign of the result. Choose the correct decimal by either using estimation or counting decimal places. $(-1.3) \cdot(-0.05)=+-0065$ $\square$ $\qquad$

19. Solve the word problem.
Ellen ran 25.3 miles in 11 days. How many miles did she run each day? 2.4 3.3 2.3 2.2

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } $\qquad$
5 \longdiv { 5 5 . 2 0 0 }
5 \longdiv { 5 . 5 2 0 0 }
5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

22. Select the correct answer when the divisor is made into a whole number. 0 . 0 0 5 \longdiv { 5 5 . 2 } \longrightarrow $\qquad$
5 \longdiv { 5 5 . 2 0 0 }
5 \longdiv { 5 . 5 2 0 0 }
5 \longdiv { . 5 5 2 0 0 } 5 \longdiv { 5 5 2 0 0 }

24. Select the correct quotient. $2.21 \div 0.34$ 5.5 6.5 06.5 006.5

Convert to scientific notation. $0.3=$ $\square$ $\square$ 10

Convert to scientific notation. $0.000046=$

Convert to standard form. $4 \times 10^{-6}=$

$0.00008=$

The length, $l$ , of a pencil is 13 cm to the nearest centimetre $(\mathrm{cm})$ .
What number should go in the box to complete the error interval? $12.5 \mathrm{~cm} \leq l<$ $\square$ cm

$\begin{array}{r}49.63 \\ \times \quad 43 \\ \hline\end{array}$

In a room of 101 people, the probability that everyone has a different birthday is approximately $2.23 \times 10^{-7}$ .
Write this probability as an ordinary number, giving your answer as a decimal.

Jacob knows that $\frac{1}{20}$ means " 1 divided by 20. " He uses this to find the decimal equivalent for $\frac{1}{20}$ . Enter a digit into each box to complete his work. $\square$

true? write the values below in order from least to greatest. \begin{tabular}{|l|l|l|} \hline $\frac{3}{4}$ & 0.2 & 0.05 \\ \hline \end{tabular}

$-0.5 \times 7.4=$ Submit

$6.5+1.4$ itiply

My Homework undependent Practice $\qquad$ Go online for Step-
Write each fraction as a decimal. Use bar notation if necessary. (Examples 1-3) $11 \frac{7}{15}=$ $\qquad$ 2. $\frac{8}{18}=$ $\qquad$ 3. $-\frac{8}{12}=$ $\qquad$

What is the product of $3.456 \times 1.3$ ? 44.928 0.4928 4.4928 449.28

What is the quotient when 2.375 is divided by $0.05 ?$ 47.5 5.55 4.75 44.35

Multiply: $9.728 \times 10,000=?$
972,800
97,280,000
97,280
9,728

Rewrite the number In standard notation. $9.999 \times 10^{6}=$

Select the values that make the inequality $u \geq 8$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 2 0 3 5 7 $7 \cdot 9$ 7.99 7.999 8 8.001 8.01 8.1 9 11 13 16 Submit Answer

Listen
Evaluate the expression. $2.9(4.35-0.7)=$ $\square$

Express the percent as a decimal. $\begin{array}{l} 69 \frac{1}{2} \% \\ 69 \frac{1}{2} \%= \end{array}$ $\square$ (Type an integer or a decimal.)

Evaluate the expression when $w=-8.8, x=2$ , and $z=-4.9$ . $w+x+z$

Work the problem and type the correct answer into the box below. (round answer to two decimal places) $5 / 9 \times 23.26=$

2. $7-(-5.4)=$

Multiply. Show Your Work. $15.05 \times 41=$

$\frac{3}{5}-0.4$