# Into Math Grade 4 Module 12 Lesson 5 Answer Key Relate Fractions, Decimals, and Money

We included HMH Into Math Grade 4 Answer Key PDF Module 12 Lesson 5 Relate Fractions, Decimals, and Money to make students experts in learning maths.

## HMH Into Math Grade 4 Module 12 Lesson 5 Answer Key Relate Fractions, Decimals, and Money

I Can use hundredths models, fractions, and decimals to represent money amounts.

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Question 1.
The coins show the amount of change Frankie receives from the cashier. How much change does Frankie receive? Write the amount as a fraction of a dollar and as a decimal dollar amount.

A. How much money in cents do the coins represent?
53 cents
Explanation:

25 + 10 + 10 + 5 + 1 + 1 + 1 = 53 cents

B. Shade the hundredths model to show the money amount. The whole represents 1 dollar.

100 cents = 1 dollar
Explanation:
In hundredths model each column represents 10 cents, each box represent 1 cent.
So, there are total 53 cents.

C. Name the amount as a fraction of a dollar.
$$\frac{53}{100}$$ of a dollar
Explanation:
1 dollar = 100 cents
53 cents of a dollar = $$\frac{53}{100}$$

D. Rename the amount as a decimal.
0.53
Explanation:
count the number of zeros in the denominator and move the decimal in numerator.
$$\frac{53}{100}$$ = 0.53

E. Write the amount of change Frankie receives as a decimal dollar amount.
0.53$Explanation: 1 dollar = 100 cents The amount of change Frankie receives as a decimal dollar amount = 0.53 Turn and Talk Which is a greater amount of money, 0.56 of a dollar or $$\frac{7}{10}$$ of a dollar? Explain. Answer: $$\frac{7}{10}$$ is greater Explanation: 0.56 of a dollar is $$\frac{56}{100}$$ $$\frac{7}{10}$$ = 0.7 0.56 < 0.7 Question 2. Cauliflower is on sale for two dollars and sixty-three cents. Write the money amount as a mixed number and as a decimal. Then describe the bills and coins that could show the money amount. A. Shade the hundredths models to show the money amount. Each whole represents 1 dollar. Answer: Two dollars and sixty-three cents =$2.63

Explanation:
There are 2 sets of hundredths and 63 columns are filled in 3rd set.
B. Write the amount as a mixed number. __________
2 $$\frac{63}{100}$$
Explanation:
$2.63 can be written as 2 wholes and 63 cents of a dollar. C. Write the amount as a decimal. __________ Answer: 2.63 Explanation: 2 $$\frac{63}{100}$$ is written as$2.63

D. Write the cost of the cauliflower as a decimal dollar amount. __________
$2.63 Explanation: From the given data cost of cauliflower is$2.63

E. What bills and coins could show that amount?
$2 + 2 quarters + 1 dime + 3 penny =$2.63
Explanation:
1 dollar = 100 cents
1 quarter = 25 cents
1 dime = 10 cents
1 penny = 1 cent
Total amount = $2 + 2 quarters + 1 dime + 3 penny =$2.63
= (2 x 100) + (2 x 25) + 10 + 3 = 200 + 50 + 10 + 3 = $2.63 Turn and Talk Describe a different set of bills and coins that you can use to show the same money amount. Answer: Different set of bills and coins can be$1 +1$+ 1 half dollar +1 dime + 3 penny =$2.63
$1 + 2 half dollar + 2 quarters +1 dime + 3 penny =$2.63
$1 +1$ + 1 half dollar +2 Nickels + 3 penny = $2.63 Explanation: 1 dollar = 100 cents Half dollar = 50 cents 1 quarter = 25 cents 1 dime = 10 cents 1 nickel = 5 cents 1 penny = 1 cent Check Understanding Question 1. Shade the hundredths models to show the money amount. Write the amount as a mixed number, a decimal, and a decimal dollar amount. mixed number: __________ decimal: __________ decimal dollar amount: ___________ Answer: mixed number: 1 $$\frac{8}{100}$$ decimal: 1.08 decimal dollar amount:$1.08
Explanation:
From the above information there is 1 dollar, 1 nickel and 3 pennies.
1 dollar = 100 cents
1 nickel = 5 cents
1 penny = 1 cent

Question 2.
Use Tools The money below shows the cost of a box of cereal.

Shade the hundredths models to show the money amount.

Write the amounts as a mixed number, a decimal, and a decimal dollar amount.

mixed number: 3 $$\frac{29}{100}$$
decimal: 3.29
decimal dollar amount: 3.29$Explanation: Hundredth model shows 3 sets and 29 parts of the 4th set. It has 3 dollars, 1 quarter and 4 pennies. 1 dollar = 100 cents 1 quarter = 25 cents 1 penny = 1 cent Question 3. Attend to Precision The sales tax on$31 is two dollars and seventeen cents.

• Shade the hundredths models to show the amount of sales tax.
• Write the amount as a decimal.
• Name bills and coins that could show the amount of the sales tax.

Two dollars and seventeen cents = $2.17 the amount as a decimal is 2.17 Name bills and coins$1 +1$+ 1 dime +1 Nickel + 2 penny =$2.17
Explanation:
Hundredth model shows 2 sets and 17 parts of the 3rd set.
It has 2 dollars, 1 dime, 1 nickel and 2 pennies.
1 dollar = 100 cents
1 dime = 10 cents
1 Nickel = 5 cents
1 penny = 1 cent

Question 4.
Use Repeated Reasoning Write the fraction or mixed number shown by the money.

1 $$\frac{47}{100}$$
$1 + 1 quarter +2 dimes + 2 penny =$1.47
Explanation:
1 whole and 47th part of hundredth model = 1 $$\frac{47}{100}$$
From the above information there is 1 dollar, 1 quarter, 2 dimes and 2 pennies.
1 dollar = 100 cents
1 quarter = 25 cents
1 dime = 10 cents
1 penny = 1 cent

Question 5.
Reason Charlotte puts 3 dimes into her money jar. Write the amount as a fraction of a dollar and as a decimal dollar amount. Explain.

$$\frac{30}{100}$$
0.3$Explanation: 30th part of hundredth model = $$\frac{30}{100}$$ From the above information there are 3dimes 1 dime = 10 cents = 3 x 10 = 30cents or$0.3
Name bills and coins that could represent the fraction or mixed number. Then write the decimal dollar amount.

Question 6.
$$\frac{76}{100}$$ of a dollar
1 half dollar +2 dimes + 1 Nickel + 1 penny = $0.76 $$\frac{76}{100}$$ = 0.76 Explanation: 76th part of hundredth model = $$\frac{76}{100}$$ From the above information there is half dollar, 2 dimes, 1 nickel and 1 penny. Half dollar = 50 cents 1 nickel = 5 cents 1 dime = 10 cents 1 penny = 1 cent Total amount in decimal = 50 + 20 + 5 + 1 = 76 = 0.76 Question 7. 2$$\frac{72}{100}$$ of a dollar Answer:$1 + $1 + 1 half dollar + 2 dimes + 2 penny =$2.72
2$$\frac{72}{100}$$ = $$\frac{272}{100}$$ = 2.72
Explanation:
72th part of hundredth model = $$\frac{72}{100}$$
From the above information there is 2 dollars, half dollar, 2 dimes and 2 pennies.
1 dollar = 100 cents
Half dollar = 50 cents
1 dime = 10 cents
1 penny = 1 cent
Total amount in decimal = 200 + 50 + 20 + 2 = 72 = 0.72

Question 8.
$$\frac{8}{100}$$ of a dollar
1 Nickel + 3 penny = $0.08 Explanation: 8th part of hundredth model = $$\frac{8}{100}$$ From the above information there is 1 nickel and 3 pennies. 1 nickel = 5 cents 1 penny = 1 cent Total amount in decimal = 5 + 3 = 8 = 0.08 Question 9. 1$$\frac{10}{100}$$ of a dollar Answer: 1$ dollar +1 dime = $1.10 1$$\frac{10}{100}$$ = $$\frac{110}{100}$$ = 1.10 Explanation: 1 whole and 10th part of hundredth model = 1$$\frac{10}{100}$$ From the above information there is 1 dollar and 1 dime. 1 dollar = 100cents 1 dime = 10 cents Total amount in decimal = 100 + 10 = 110 = 1.10 Question 10. Attend to Precision Jake and Winnie count the money shown. Winnie writes the value of the money as 1$$\frac{50}{10}$$ of a dollar. Jake writes the value of the money as$1.05. Who is correct? Explain.
1$$\frac{50}{100}$$ = 1$$\frac{50}{100}$$ = \$1.5