Math  /  Numbers & Operations

Question(4) AXI (eant
Fractions, Decimals \& Money 1 Fill in the chant. Use any wols to help except a calculator. The first row has been completed as an example.
2 How would you write 0.35 as a afraction? b in dollars and cents notation? 3 How would you write $0.60\$ 0.60 : a asa fraction? b is a decimal?

Studdy Solution

STEP 1

What is this asking? We need to complete a chant about converting between fractions, decimals, and money, then answer specific questions about representing 0.35 and $0.60\$0.60 in different forms. Watch out! Don't mix up the decimal places when converting between fractions, decimals, and dollar amounts.
Remember that one cent is $\$0.01, or one hundredth of a dollar!

STEP 2

1. Complete the chant.
2. Convert 0.35 to a fraction and dollar notation.
3. Convert $0.60\$0.60 to a fraction and a decimal.

STEP 3

The first row shows us that one-half is equal to 0.50, which is the same as 50 cents.
This helps us understand the pattern!

STEP 4

Let's complete the chant by following the example.
One-quarter is 1/4=0.251/4 = 0.25, which is the same as $0.25\$0.25 or 25 cents.
Three-quarters is 3/4=0.753/4 = 0.75, which is the same as $0.75\$0.75 or 75 cents.
One-tenth is 1/10=0.101/10 = 0.10, which is the same as $0.10\$0.10 or 10 cents.
One-fifth, which is the same as two-tenths, is 1/5=2/10=0.201/5 = 2/10 = 0.20, which is the same as $0.20\$0.20 or 20 cents.

STEP 5

0.350.35 means thirty-five hundredths.
We can write this as the fraction 35/10035/100.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
So, 35/100=(35÷5)/(100÷5)=7/2035/100 = (35 \div 5)/(100 \div 5) = 7/20.

STEP 6

Since 0.35 represents thirty-five hundredths, and there are one hundred cents in a dollar, 0.35 is equal to $0.35\$0.35, which is 35 cents.

STEP 7

$0.60\$0.60 is sixty hundredths of a dollar, which can be written as the fraction 60/10060/100.
Simplifying this fraction by dividing the numerator and denominator by 20 gives us 60/100=(60÷20)/(100÷20)=3/560/100 = (60 \div 20)/(100 \div 20) = 3/5.

STEP 8

$0.60\$0.60 is already written as a decimal!
It's simply 0.60, or 0.6.

STEP 9

The completed chant has one-quarter equal to 0.25 and $0.25\$0.25, three-quarters equal to 0.75 and $0.75\$0.75, one-tenth equal to 0.10 and $0.10\$0.10, and one-fifth equal to 0.20 and $0.20\$0.20.
We found that 0.35 is equal to the fraction 7/207/20 and to $0.35\$0.35.
We also found that $0.60\$0.60 is equal to the fraction 3/53/5 and to the decimal 0.60 (or 0.6).

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