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.

Step It Out

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