Numbers & Operations

Problem 9801

Find the value closest to 9 among these: $\sqrt{10}$ , $\sqrt{83}$ , $\sqrt{63}$ , $\sqrt{99}$ .

See Solution

Problem 9802

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

See Solution

Problem 9803

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide ( $NO_2$ ).

See Solution

Problem 9804

How many times larger were early transistors ( $1 \times 10^{4}$ micrometers) compared to today's transistors ( $< 1 \times 10^{-2}$ micrometer)? $10^{6}$ $10^{2}$ $10^{-6}$ $10^{-2}$

See Solution

Problem 9805

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in $4.61 \times 10^{22}$ BCl₃ molecules.

See Solution

Problem 9806

Find the total energy in kilocalories from 3 cups of whole milk with 16.58 g carbs, Time g fat, and 1.89 g protein.

See Solution

Problem 9807

Find the total energy in kilocalories of 3 cups of whole milk with 16.58 g carbs, 7.09 g fat, and 1.89 g protein per cup.

See Solution

Problem 9808

If Joe invests \$12,000 at 8% interest for 14 years, how much will he have?

See Solution

Problem 9809

Calculate the volume in $\mathrm{dL}$ of 3.01 kg of iron with a density of $7.86 \mathrm{~g/cm}^{3}$ . Convert density to $\mathrm{kg/dL}$ .

See Solution

Problem 9810

Convert $-27.9^{\circ} \mathrm{F}$ to degrees Celsius. Include the correct unit symbol in your answer.

See Solution

Problem 9811

Convert the fraction $\frac{5}{6}$ to a mixed number.

See Solution

Problem 9812

Find the probability of landing on a factor of 45 first, then a prime number, after spinning a spinner twice. Simplify your answer.

See Solution

Problem 9813

Convert -2.17 ${ }^{\circ} \mathrm{C}$ to degrees Fahrenheit. Use the formula: $F = \frac{9}{5}C + 32$ .

See Solution

Problem 9814

How many atoms are in a $6.21 \mu \mathrm{mol}$ helium sample? Answer with correct sig figs using ${ }^{*} 10^{\wedge}$ .

See Solution

Problem 9815

Find the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Use ${ }^{* 10^{\wedge}}$ for scientific notation.

See Solution

Problem 9816

Calculate the moles in $1.10^{*} 10^{\wedge} 27$ gold atoms. Provide your answer in scientific notation with correct sig figs.

See Solution

Problem 9817

Calculate the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Provide your answer in scientific notation.

See Solution

Problem 9818

Calculate the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Provide your answer in 4 sig figs in scientific notation.

See Solution

Problem 9819

Find the probability that a spinner with numbers 4, 5, 6, 7 lands on 6 or a divisor of 12. Express as a percentage.

See Solution

Problem 9820

Find the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Answer in 4 sig figs and scientific notation: ${ }^{\star} 10^{\wedge}$ .

See Solution

Problem 9821

A car has 4 wheels. How many wheels are there for 10 cars? Calculate: $4 \times 10 = ?$

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Problem 9822

What is the mass in grams of a $55.86 \mathrm{~mol}$ sample of iron? Provide your answer to 4 significant figures.

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Problem 9823

Find the number of nanomoles ( $\mathrm{nmol}$ ) in a 22.5 microgram ( $\mu \mathrm{g}$ ) sample of gold. Answer to 3 sig figs.

See Solution

Problem 9824

Compare the sugar concentration of Patrick's solution ( $\frac{3}{3+4}$ ) and Thomas's solution ( $\frac{6}{6+7}$ ).

See Solution

Problem 9825

What is the mass in grams of a 67.20 mol sample of iron? Provide your answer to 4 significant figures.

See Solution

Problem 9826

Find the number of nanomoles $(\mathrm{nmol})$ in a 79.0 microgram $(\mu \mathrm{g})$ gold sample. Round to 3 sig figs.

See Solution

Problem 9827

Calculate $-12 + (-2)$ .

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Problem 9828

Find the mass in mg of 892 μmol of silver oxide (Ag₂O) to 3 significant figures in standard notation.

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Problem 9829

Which of these is both a rational number and an integer? $-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}$

See Solution

Problem 9830

Order the numbers -1.85, 1 3/4, and -7/8 from least to greatest.

See Solution

Problem 9831

Calculate the mass in grams of 1.24 mol of calcium chloride $CaCl_{2}$ , rounding to 3 significant figures.

See Solution

Problem 9832

Identify the number that is both an integer and a whole number from: $-67$ , $-57.4$ , 0, $-43.5$ .

See Solution

Problem 9833

Identify the number that is both rational and whole from: $-80, -2 \frac{5}{6}, -66, 193$ .

See Solution

Problem 9834

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

See Solution

Problem 9835

Order the numbers -0.15, -\frac{1}{4}, and -0.6 from least to greatest.

See Solution

Problem 9836

Order the numbers -3.25, -3, and -3.6 from least to greatest.

See Solution

Problem 9837

Identify the rational number that is not an integer from these options: $-27$ , 16, $-4.6$ , $-125$ .

See Solution

Problem 9838

Calculate the number of molecules in 10.8 g of dry ice, CO $_2$ .

See Solution

Problem 9839

Which of the following is both an integer and a whole number? $77 - 105 - 7 \frac{3}{4} \cdot -178$

See Solution

Problem 9840

Find the number of hydrogen atoms in 1 mole of ammonia, $\mathrm{NH}_{3}$ .

See Solution

Problem 9841

How many moles of carbon are in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ ?

See Solution

Problem 9842

A chef bought 8 bags of apples for \$33. Each bag has 7 apples. After discarding 2 rotten apples, how many good apples remain?

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Problem 9843

Calculate $6 \div 2(1+2)$ .

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Problem 9844

Calculate the number of atoms in a $0.04545 \mathrm{~mol}$ sample of Cu.

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Problem 9845

Calculate the formula units in $500 \mathrm{g}$ of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

See Solution

Problem 9846

Convert $100.0^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

See Solution

Problem 9847

Find the mass of $24.1 \mathrm{~mol}$ of xenon.

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Problem 9848

Which of these is a rational number but not an integer? 134, $-92$ , $-76$ , $3 \frac{1}{6}$ .

See Solution

Problem 9849

Find the number of hydrogen atoms in 5 molecules of $C_{6}H_{6}$ .

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Problem 9850

Calculate the calories needed to heat 13 g of alcohol from 11°C to 23°C, given its specific heat is 0.588 cal/g°C.

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Problem 9851

Convert 438 joules to kilocalories. What is the energy in kilocalories with the correct unit symbol?

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Problem 9852

Find the number of oxygen atoms in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

See Solution

Problem 9853

When 2.0 g of glucose yields $4.0 \mathrm{kcal}$ , how many kJ does it produce? Include the unit symbol in your answer.

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Problem 9854

Convert 727 joules to calories. What is the energy in calories, including the unit symbol?

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Problem 9855

Calculate the moles in a 50.0 g sample of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

See Solution

Problem 9856

Calculate the number of atoms in a $44.5 \mathrm{~mol}$ sample of $\mathrm{Ne}$ , using correct sig figs and scientific notation.

See Solution

Problem 9857

Calculate the expression: $[4(7+3)]-5$

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Problem 9858

Calculate the molar mass of the compound $A X_{2} R_{3}$ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

See Solution

Problem 9859

Calculate the sum of $\frac{7}{12}$ and $\frac{3}{4}$ .

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Problem 9860

Which credit score yields the lowest loan interest rate? Choose one: (A) 350, (B) 825, (C) 900.

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Problem 9861

Add the fractions $\frac{5}{14}$ and $\frac{8}{14}$ .

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Problem 9862

How many nanomoles (nmol) are in a 79.8 microgram ( $\mu \mathrm{g}$ ) sample of gold? Answer to 3 sig figs and in standard notation.

See Solution

Problem 9863

Calculate the expression: $5[4+3]+10$ .

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Problem 9864

Calculate $-51 \div 3$ .

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Problem 9865

If Marc serves $\frac{5}{6}$ of a cake, how many servings from 3 cakes? Also, for $\frac{7}{6}$ , how many servings?

See Solution

Problem 9866

Calculate $9(7-5) \div 3$ .

See Solution

Problem 9867

Calculate $9(1-5) \div 3$ .

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Problem 9868

Sarah has coins worth 44 cents and 16 cents. How many nickels can she get by combining them?

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Problem 9869

Calculate: $5(20-12) \div 4$

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Problem 9870

Ms. Blankenship had \$80 and bought 32 glue sticks at \$1.40 each and 32 boxes of crayons at \$0.59 each. How much is left?

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Problem 9871

Divide 968 by 38. What is the result?

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Problem 9872

Find the value of $26.95 \div -5 \frac{1}{2}$ .

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Problem 9873

What is the total amount Fatima paid for 5 pallets of grass at \$129.95 each plus \$76.20 for delivery?

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Problem 9874

Convert a speed of 5.8 mi/h to ft/s using the conversion factors: 1 h = 15 min, 1 mi = 5280 ft, 1 min = 60 s.

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Problem 9875

A game show contestant starts with 7 points, gains 4 points, then loses 15 points. What is his final score?

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Problem 9876

A bike wheel is 26 inches in diameter. Convert this to millimeters using $1$ inch $=25.4$ mm.

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Problem 9877

Don ran 3 miles, stopping every $\frac{1}{2}$ mile. How many stops did he make, including the end point?

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Problem 9878

Marc made 3 cakes, each cut into 8 pieces. How many servings can be made with $\frac{1}{8}$ , $\frac{3}{8}$ , and $\frac{5}{8}$ of a cake?

See Solution

Problem 9879

How many servings of $\frac{3}{8}$ of a cake can Marc make from 3 cakes?

See Solution

Problem 9880

How many servings of $\frac{5}{8}$ of a cake can Marc make from 3 cakes?

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Problem 9881

Convert 800 grams and 700 grams to pounds, rounding to 2 decimal places. Use 453.592 grams per pound.

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Problem 9882

Tom ordered a pizza cut into 6 slices. If he ate $\frac{1}{2}$ of it, how many slices did he eat?

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Problem 9883

If a pizza has $n$ slices and Tom ate $\frac{1}{3}$ of it, how many slices did he eat?

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Problem 9884

Convert 50 miles per hour to miles per minute using the expression: $\frac{50 \text{ miles}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{\square \text{ minutes}}$ . What goes in the box? Options: 6, 60, 360, 3,600.

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Problem 9885

Divide 204 m by 6 m. What is the result?

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Problem 9886

Convert 12 feet to inches. Choices: 1, 24, 120, or 144 inches?

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Problem 9887

Phelan exchanged \$250 for euros, spent 150 euros, and converted back. How much of his original \$250 remains? Round to the nearest cent. 1 euro = 1.3687 \$

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Problem 9888

What expression converts 80 USD to AUD using the rates: 1 USD = 1.0343 AUD, 1 AUD = 0.9668 USD?

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Problem 9889

8. $10 \frac{3}{16}$ $-1 \frac{1}{32}$
9. $3 \frac{7}{12}$ $-\frac{2}{8}$ 10. $\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}$
11. $26 \frac{3}{8}$ $-4 \frac{2}{6}$

See Solution

Problem 9890

$\pi$ . $\qquad$ $12 \frac{5}{13}$ $-3 \frac{6}{13}$ 2. $\begin{array}{r} 5 \frac{2}{7} \\ -\quad 3 \frac{4}{7} \\ \hline \end{array}$ 3. $\begin{array}{r} 16 \frac{2}{3} \\ -\quad 5 \frac{3}{4} \\ \hline \end{array}$ 4. $\begin{array}{r} 18 \frac{1}{5} \\ -2 \frac{6}{7} \\ \hline \end{array}$
5. $33 \frac{15}{18}$ $-\frac{8}{9}$
6. $41 \frac{7}{10}$ $-3 \frac{4}{5}$

See Solution

Problem 9891

Which sign makes the statement true?
$|{-98}|$ ? $|{-38}|$
> < = Submit

See Solution

Problem 9892

What is the total amount of money being added to the account in the table of deposits shown below?
Deposits Amount Incoming ACH \$2174.90 Incoming Phone Transfer \$21.78 Incoming App Transfer \$44.83 Check Mobile Deposit \$23.94
Round to the nearest cent. \$[?]

See Solution

Problem 9893

6. Sind Matematik 2. Ödev Fasikîla UYGULAMA Tom Sayilar ve Kesirlerle iglemier
1. Aşağıdaki ifadelerdekì noktalı yerleri uygun sayılarla doldurunuz. a. Mutlak değeri 2 ile 5 arasında olan tam sayılar $\qquad$ tûr. b. Üç basamaklı rakamlan farklı 3 ile tam bōlünebilen en küçük pozitif tam sayı $\qquad$ dir. c. Sayı doğrusunda 4 noktasına 7 birim uzaklıkta olan iki nokta $\qquad$ ve $\qquad$ tam sayilardir. d. Bir sayı ile dörtte birinin farkı o sayının $\qquad$ 'üne eşittir. e. Bir kesri $\frac{2}{5}$ ile bölmek, o sayıyı $\qquad$ ondalık gösterimiyle çarpmak ile aynıdır. f. $\frac{\star}{40}<2$ olduğuna göre $\star$ yerine yazılabilecek en bŭyūk doğal sayı . $\qquad$ 'dur. g.
A : $\frac{7}{11}$ işleminin sonucunun tam sayı olması için $A$ yerine gelebilecek en kûçūk doğal sayI $\qquad$ 'dir. h. 0,375 ondalık gösterimine $\qquad$ kesrini eklediğimizde sonuç en kŭçûk pozitif tam sayı olur. I. $\frac{31}{5}$ 'ten küçük en būyük tam sayı . $\qquad$ 'dir. ab, 375 ondalık gösteriminde virgülü iki basamak sağa kaydırmak için bu sayıyı $\qquad$ ile j. çarpmalıyız. k. 0, a sayısını 0, bc ile çarptığımızda sonuç $\qquad$ ile $\qquad$ arasinda olur. I. 13,075 ondalık gősteriminde basamak değeri en kücuuk olan rakam $\qquad$ 'dir. m. -20 'den küçük en büyŭk tam sayı $\qquad$ 'dir. n. Bir sayıyı 0,01 ile bölmek o sayıyı $\qquad$ doğal sayıs il ile çarpmak ile aynıdır. o. -6 ile 10 sayılarına eşit uzaklikta olan tam sayı $\qquad$ 'dir.

See Solution

Problem 9894

Convert to decimal notation.
$8.55 \cdot 10^7$
$8.55 \cdot 10^7 =$
(Simplify your answer. Type an integer or a decimal.)

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Problem 9895

D. Indicate how many significant figures there are in each of the following measured values
1. $107.854=$
2. $0.678=$
3. $1.008=$
4. $0.00340=$
5. $700000 \square=$

See Solution

Problem 9896

G. Calculate the denominator of the fraction that is equal to the stated fraction with the numerator shown. \begin{tabular}{cll} \hline Fraction & Numerator & Denominator \\ \hline 1. $12 / 36$ & 144 & \\ \hline 2. $84 / 6$ & 42 & \\ \hline 3. $1 / 16$ & 8 & \\ \hline \end{tabular}

See Solution

Problem 9897

Aşağıda verilen eş uzunluktaki iki cetvel kendi içlerinde eş parçalara ayrıImıştır. \begin{tabular}{|c|c|c|c|c|c|} \hline 0 cm & 1 cm & 2 cm & 3 cm & 4 cm & cr \\ \hline \end{tabular} $\begin{array}{l} 11111111111 \\ 0 \mathrm{~cm} \quad 1 \mathrm{~cm} \quad 2 \mathrm{~cm} \quad 3 \mathrm{~cm} \quad 4 \mathrm{~cm} \quad 5 \mathrm{~cm} \\ \hline \end{array}$
Bu cetveller yardımıyla ölçülen iplerin uzunluklart toplamk kaç santimetredir? A) $\frac{59}{12}$ B) $\frac{67}{12}$ C) $\frac{73}{12}$ D) $\frac{77}{12}$

See Solution

Problem 9898

What is $-4 \times \frac{2}{11}$ ? Give your answer in its simplest form.

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Problem 9899

Hazel spends $\frac{3}{7}$ of her money in the music shop and $\frac{1}{2}$ in the clothes shop.
What fraction of her money does she spend in total? Give your answer in its simplest form.

See Solution

Problem 9900

What is $7/24 + 5/6$ ? Give your answer as an improper fraction. For example $3/2$ . $\frac{7}{24} + \frac{5}{6} = \frac{?}{?}$

See Solution

1 ...96 97 98 99 100 101 102 ...118

Numbers & Operations

Problem 9801

Find the value closest to 9 among these: 10\sqrt{10}10​, 83\sqrt{83}83​, 63\sqrt{63}63​, 99\sqrt{99}99​.

Problem 9802

Order the fractions of students moving up to Level 2: 23,712,1724,34\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}32​,127​,2417​,43​.

Problem 9803

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide (NO2NO_2NO2​).

Problem 9804

How many times larger were early transistors (1×1041 \times 10^{4}1×104 micrometers) compared to today's transistors (<1×10−2< 1 \times 10^{-2}<1×10−2 micrometer)? 10610^{6}106 10210^{2}102 10−610^{-6}10−6 10−210^{-2}10−2

Problem 9805

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in 4.61×10224.61 \times 10^{22}4.61×1022 BCl₃ molecules.

Problem 9806

Find the total energy in kilocalories from 3 cups of whole milk with 16.58 g carbs, Time g fat, and 1.89 g protein.

Problem 9807

Find the total energy in kilocalories of 3 cups of whole milk with 16.58 g carbs, 7.09 g fat, and 1.89 g protein per cup.

Problem 9808

If Joe invests \$12,000 at 8% interest for 14 years, how much will he have?

Problem 9809

Calculate the volume in dL\mathrm{dL}dL of 3.01 kg of iron with a density of 7.86 g/cm37.86 \mathrm{~g/cm}^{3}7.86 g/cm3. Convert density to kg/dL\mathrm{kg/dL}kg/dL.

Problem 9810

Convert −27.9∘F-27.9^{\circ} \mathrm{F}−27.9∘F to degrees Celsius. Include the correct unit symbol in your answer.

Problem 9811

Convert the fraction 56\frac{5}{6}65​ to a mixed number.

Problem 9812

Find the probability of landing on a factor of 45 first, then a prime number, after spinning a spinner twice. Simplify your answer.

Problem 9813

Convert -2.17 ∘C{ }^{\circ} \mathrm{C}∘C to degrees Fahrenheit. Use the formula: F=95C+32F = \frac{9}{5}C + 32F=59​C+32.

Problem 9814

How many atoms are in a 6.21μmol6.21 \mu \mathrm{mol}6.21μmol helium sample? Answer with correct sig figs using ∗10∧{ }^{*} 10^{\wedge}∗10∧.

Problem 9815

Find the number of atoms in a 6.21μmol6.21 \mu \mathrm{mol}6.21μmol helium sample. Use ∗10∧{ }^{* 10^{\wedge}}∗10∧ for scientific notation.

Problem 9816

Calculate the moles in 1.10∗10∧271.10^{*} 10^{\wedge} 271.10∗10∧27 gold atoms. Provide your answer in scientific notation with correct sig figs.

Problem 9817

Calculate the number of atoms in a 6.21μmol6.21 \mu \mathrm{mol}6.21μmol helium sample. Provide your answer in scientific notation.

Problem 9818

Calculate the moles in a 3,694 molecule sample of H2O\mathrm{H}_{2} \mathrm{O}H2​O. Provide your answer in 4 sig figs in scientific notation.

Problem 9819

Find the probability that a spinner with numbers 4, 5, 6, 7 lands on 6 or a divisor of 12. Express as a percentage.

Problem 9820

Find the moles in a 3,694 molecule sample of H2O\mathrm{H}_{2} \mathrm{O}H2​O. Answer in 4 sig figs and scientific notation: ⋆10∧{ }^{\star} 10^{\wedge}⋆10∧.

Problem 9821

A car has 4 wheels. How many wheels are there for 10 cars? Calculate: 4×10=?4 \times 10 = ?4×10=?

Problem 9822

What is the mass in grams of a 55.86 mol55.86 \mathrm{~mol}55.86 mol sample of iron? Provide your answer to 4 significant figures.

Problem 9823

Find the number of nanomoles (nmol\mathrm{nmol}nmol) in a 22.5 microgram (μg\mu \mathrm{g}μg) sample of gold. Answer to 3 sig figs.

Problem 9824

Compare the sugar concentration of Patrick's solution (33+4\frac{3}{3+4}3+43​) and Thomas's solution (66+7\frac{6}{6+7}6+76​).

Problem 9825

What is the mass in grams of a 67.20 mol sample of iron? Provide your answer to 4 significant figures.

Problem 9826

Find the number of nanomoles (nmol)(\mathrm{nmol})(nmol) in a 79.0 microgram (μg)(\mu \mathrm{g})(μg) gold sample. Round to 3 sig figs.

Problem 9827

Calculate −12+(−2)-12 + (-2)−12+(−2).

Problem 9828

Find the mass in mg of 892 μmol of silver oxide (Ag₂O) to 3 significant figures in standard notation.

Problem 9829

Which of these is both a rational number and an integer? −5,54.8,−710,10,1149-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}−5,54.8,−107​,10​,1194​

Problem 9830

Order the numbers -1.85, 1 3/4, and -7/8 from least to greatest.

Problem 9831

Calculate the mass in grams of 1.24 mol of calcium chloride CaCl2CaCl_{2}CaCl2​, rounding to 3 significant figures.

Problem 9832

Identify the number that is both an integer and a whole number from: −67-67−67, −57.4-57.4−57.4, 0, −43.5-43.5−43.5.

Problem 9833

Identify the number that is both rational and whole from: −80,−256,−66,193-80, -2 \frac{5}{6}, -66, 193−80,−265​,−66,193.

Problem 9834

Calculate the molar mass of compound X2Yy\mathrm{X}_{2} \mathrm{Yy}X2​Yy with XXX (55.13) and YyYyYy (23.50). Round to 2 decimal places.

Problem 9835

Order the numbers -0.15, -\frac{1}{4}, and -0.6 from least to greatest.

Problem 9836

Order the numbers -3.25, -3, and -3.6 from least to greatest.

Problem 9837

Identify the rational number that is not an integer from these options: −27-27−27, 16, −4.6-4.6−4.6, −125-125−125.

Problem 9838

Calculate the number of molecules in 10.8 g of dry ice, CO2_22​.

Problem 9839

Which of the following is both an integer and a whole number? 77−105−734⋅−178 77 - 105 - 7 \frac{3}{4} \cdot -178 77−105−743​⋅−178

Problem 9840

Find the value closest to 9 among these: $\sqrt{10}$ , $\sqrt{83}$ , $\sqrt{63}$ , $\sqrt{99}$ .

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

Calculate the number of MOLECULES in 3.16 moles of nitrogen dioxide ( $NO_2$ ).

How many times larger were early transistors ( $1 \times 10^{4}$ micrometers) compared to today's transistors ( $< 1 \times 10^{-2}$ micrometer)? $10^{6}$ $10^{2}$ $10^{-6}$ $10^{-2}$

Find the number of boron atoms in 2.24 moles of BCl₃ and chlorine moles in $4.61 \times 10^{22}$ BCl₃ molecules.

Calculate the volume in $\mathrm{dL}$ of 3.01 kg of iron with a density of $7.86 \mathrm{~g/cm}^{3}$ . Convert density to $\mathrm{kg/dL}$ .

Convert $-27.9^{\circ} \mathrm{F}$ to degrees Celsius. Include the correct unit symbol in your answer.

Convert the fraction $\frac{5}{6}$ to a mixed number.

Convert -2.17 ${ }^{\circ} \mathrm{C}$ to degrees Fahrenheit. Use the formula: $F = \frac{9}{5}C + 32$ .

How many atoms are in a $6.21 \mu \mathrm{mol}$ helium sample? Answer with correct sig figs using ${ }^{*} 10^{\wedge}$ .

Find the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Use ${ }^{* 10^{\wedge}}$ for scientific notation.

Calculate the moles in $1.10^{*} 10^{\wedge} 27$ gold atoms. Provide your answer in scientific notation with correct sig figs.

Calculate the number of atoms in a $6.21 \mu \mathrm{mol}$ helium sample. Provide your answer in scientific notation.

Calculate the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Provide your answer in 4 sig figs in scientific notation.

Find the moles in a 3,694 molecule sample of $\mathrm{H}_{2} \mathrm{O}$ . Answer in 4 sig figs and scientific notation: ${ }^{\star} 10^{\wedge}$ .

A car has 4 wheels. How many wheels are there for 10 cars? Calculate: $4 \times 10 = ?$

What is the mass in grams of a $55.86 \mathrm{~mol}$ sample of iron? Provide your answer to 4 significant figures.

Find the number of nanomoles ( $\mathrm{nmol}$ ) in a 22.5 microgram ( $\mu \mathrm{g}$ ) sample of gold. Answer to 3 sig figs.

Compare the sugar concentration of Patrick's solution ( $\frac{3}{3+4}$ ) and Thomas's solution ( $\frac{6}{6+7}$ ).

Find the number of nanomoles $(\mathrm{nmol})$ in a 79.0 microgram $(\mu \mathrm{g})$ gold sample. Round to 3 sig figs.

Calculate $-12 + (-2)$ .

Which of these is both a rational number and an integer? $-5, 54.8, -\frac{7}{10}, \sqrt{10}, 11 \frac{4}{9}$

Calculate the mass in grams of 1.24 mol of calcium chloride $CaCl_{2}$ , rounding to 3 significant figures.

Identify the number that is both an integer and a whole number from: $-67$ , $-57.4$ , 0, $-43.5$ .

Identify the number that is both rational and whole from: $-80, -2 \frac{5}{6}, -66, 193$ .

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

Identify the rational number that is not an integer from these options: $-27$ , 16, $-4.6$ , $-125$ .

Calculate the number of molecules in 10.8 g of dry ice, CO $_2$ .

Which of the following is both an integer and a whole number? $77 - 105 - 7 \frac{3}{4} \cdot -178$

Find the number of hydrogen atoms in 1 mole of ammonia, $\mathrm{NH}_{3}$ .

How many moles of carbon are in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ ?

Calculate $6 \div 2(1+2)$ .

Calculate the number of atoms in a $0.04545 \mathrm{~mol}$ sample of Cu.

Calculate the formula units in $500 \mathrm{g}$ of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

Convert $100.0^{\circ} \mathrm{F}$ to degrees Celsius and include the unit symbol in your answer.

Find the mass of $24.1 \mathrm{~mol}$ of xenon.

Which of these is a rational number but not an integer? 134, $-92$ , $-76$ , $3 \frac{1}{6}$ .

Find the number of hydrogen atoms in 5 molecules of $C_{6}H_{6}$ .

Find the number of oxygen atoms in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

When 2.0 g of glucose yields $4.0 \mathrm{kcal}$ , how many kJ does it produce? Include the unit symbol in your answer.

Calculate the moles in a 50.0 g sample of lead(IV) oxide, $\mathrm{PbO}_{2}$ .

Calculate the number of atoms in a $44.5 \mathrm{~mol}$ sample of $\mathrm{Ne}$ , using correct sig figs and scientific notation.

Calculate the expression: $[4(7+3)]-5$

Calculate the molar mass of the compound $A X_{2} R_{3}$ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

Calculate the sum of $\frac{7}{12}$ and $\frac{3}{4}$ .

Add the fractions $\frac{5}{14}$ and $\frac{8}{14}$ .

How many nanomoles (nmol) are in a 79.8 microgram ( $\mu \mathrm{g}$ ) sample of gold? Answer to 3 sig figs and in standard notation.

Calculate the expression: $5[4+3]+10$ .

Calculate $-51 \div 3$ .

If Marc serves $\frac{5}{6}$ of a cake, how many servings from 3 cakes? Also, for $\frac{7}{6}$ , how many servings?

Calculate $9(7-5) \div 3$ .

Calculate $9(1-5) \div 3$ .

Calculate: $5(20-12) \div 4$

Find the value of $26.95 \div -5 \frac{1}{2}$ .