All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 3 Model Fractions and Decimals will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 3 Model Fractions and Decimals
Draw It
Use a model to show \(\frac{3}{10}\). Then write it in word form
Question 1.
Shade ____ columns of the tenths model.
Answer:
Question 2.
The model shows: Word form: ___ tenths
Decimal: 0. 
Answer:
The word form is 3 tenths
Decimal: 0.3
Try It
Use a model to show \(\frac{9}{100}\). Then write it in word form and as a decimal.
Question 1.
Shade ____ of the small squares on the hundredths model.
Answer:
The given fraction: 9/100
– We need to shade 9 of the small squares on the hundredth model.
Question 2.
The model shows:
Word form: ____ hundredths
Decimal: 0. 
Answer:
The word form of 9/100 is nine hundredths
Decimal: 0.09
Try It
Use a model to show \(\frac{34}{100}\). Then write it in word form and as a decimal.
Question 1.
Shade ____ of the small squares
Answer:
The above-given fraction: 34/100
– In the box, we need to share 3 columns completely and the remaining 4 will be shaded in the next column.
Question 2.
The model shows:
Word form: ____ hundredths
Notice that there are ___ tenths and ___ hundredths shaded.
Decimal: 0. 
Answer:
The word form is thirty-four hundredths
– There are 3 tenths and 4 hundredths shaded
The decimal can be written as 0.34
Talk About It
Question 1.
The model at the right shows a thousandths cube. What fraction of the model is shaded? Then write
it as a decimal.
Answer:
The model above-given is the thousandth cube.
The number of boxes shaded = 4
The fraction can be written as 4/1000
In decimals, we can write it as 0.004
Question 2.
Mathematical PRACTICE 5 Use Math Tools Shade the model to show \(\frac{80}{100}\). Then write the fraction in word form and as a decimal.
Answer:
The above-given model is the cube of the hundredth.
The given fraction is 80/100
The decimal can be written as 0.80
In word form, we can write as eighty-hundredths
Question 3.
Explain why \(\frac{45}{100}\) is written as a decimal with a 4 in the tenth place and a 5 in the hundredth place.
Answer:
The given fraction is 45/100
So we shaded the 4-tenth plus 5-hundredths.
In word form, we can write as forty-five hundredths.
Practice It
Shade the model to show each fraction. Write each fraction in word form.
Question 4.
\(\frac{7}{10}\)
Answer:
The above-given fraction: 7/10
The given model is the tenth cube.
The word form can be written as seven-tenths
Question 5.
\(\frac{9}{10}\)
Answer:
The above-given fraction: 9/10
In word form, we can write as nine-tenths
Question 6.
\(\frac{4}{10}\)
Answer:
The above-given fraction: 4/10
In word form, we can write as four-tenths
Question 7.
\(\frac{5}{100}\)
Answer:
The above-given fraction: 5/100
In word form, we can write as five hundredths.
Question 8.
\(\frac{63}{100}\)
Answer:
The above-given fraction: 63/100
In the word form, we can write as sixty-three hundredths.
Question 9.
\(\frac{21}{100}\)
Answer:
The above-given fraction: 21/100
In word form, we can write as twenty-one hundredths.
Write the decimal for each model.
Question 10.
Answer:
Observing the above-given model is the tenth cube.
The fraction could be: 2/10
Decimal = 0.2
Question 11.
Answer:
Observing the above-given model is the tenth cube.
The fraction is 8/10
Decimal = 0.8
Question 12.
Answer:
Observing the above-given model is the tenth cube.
The fraction is 5/10
Decimal = 0.5
Question 13.
Answer:
Observing the above-given model is the cube of the hundredth.
The fraction is 17/100
Decimal = 0.17
Question 14.
Answer:
Observing the above-given model is the cube of the hundredth.
The fraction is 89/100
Decimal = 0.89
Question 15.
Answer:
Observing the above-given model is the cube of the hundredth.
The fraction is 68/100
Decimal = 0.68
Apply It
Question 16.
Dewayne waters his plant with 0.76 quart of water every other day. Write the amount of water he uses in word form and as a fraction.
Answer:
The above-given decimal: 0.76
The fraction can be written as 76/100
In word form, we can write as seventy-six hundredths.
Question 17.
Jessica’s family ate six-tenths of the cake she baked. Write the amount eaten as a fraction and a decimal.
Answer:
The amount of cake Jessica’s family ate = 6/10
The fraction is 6/10
The decimal can be written as 0.6
Question 18.
Mathematical PRACTICE 3 Draw a Conclusion Mei rode her bike \(\frac{7}{10}\) mile to school. Her friend Julie walked 0.07 miles to school. Did the two girls travel the same distance? Explain.
Answer: No
Explanation:
Mei walked 7/10 or 0.7 for a mile to school.
0.7 is not equal to 0.07
so Mei and Julie did not travel the same distance to school.
Question 19.
Mathematical PRACTICE 2 Use Number Sense Write the decimal and fraction for each model. Are the two models equal? Explain.
Answer:
yes, each model has the same shaded area.
So, 4 tenths are the same as the 40 hundredths
Write About It
Question 20.
How do you model a decimal using a fraction?
Answer:
1. Write down the decimal in fractions with the denominator 1.
2. We multiply the denominator and numerator by 10 for every number after the decimal point.
3. Simplify the fraction if needed.
The first place after the decimal point has a value of 1/10. The next place has a value of 1/100.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 3 My Homework Answer Key
Question 1.
Shade 57 of the small squares.
Answer:
The above-given model is a cube of hundredths.
The fraction can be written as 57/100
5 tens and 7 hundredths are shaded.
Question 2.
The model shows:
Word form: fifty-seven hundredths Decimal: 0.57
Answer:
Practice
Shade the model to show each fraction. Write each fraction in word form.
Question 1.
\(\frac{4}{10}\)
Answer:
The above-given fraction: 4/10
The decimal can be written as 0.4
Question 2.
\(\frac{8}{10}\)
Answer:
The above-given fraction: 8/10
The decimal can be written as 0.8
Question 3.
\(\frac{45}{100}\)
Answer:
The above-given fraction:45/100
The above-given model is the cube of hundredths.
In decimal, we can write it as 0.45
In word form, we can write as forty-five hundredths.
Question 4.
\(\frac{76}{100}\)
Answer:
The above-given fraction: 76/100
The above-given model is the cube of hundredths.
In decimal, we can write it as 0.76
In word form, we can write as seventy-six hundredths.
Write the decimal for each model.
Question 5.
Answer:
The above-given model is the tenth cube.
The fraction can be written as 2/10
The decimal can be written as 0.2
Question 6.
Answer:
The above-given model is the cube of hundredths
The fraction can be written as 7/100
The decimal can be written as 0.07
Question 7.
Answer:
The above-given model is the cube of hundredths
The fraction can be written as 80/100
The decimal can be written as 0.80
Question 8.
Answer:
The above-given model is the tenth cube.
The fraction can be written as 6/10
The decimal can be written as 0.6
Problem Solving
Question 9.
Mathematical PRACTICE 2 Use Number Sense The largest butterfly in the world is found in Papua, New Guinea. The female of the species weighs about \(\frac{9}{10}\) ounce. Use a decimal to write the female’s weight.
Answer:
The weight of female species = 9/10
In the decimal form, we can write it as 0.9
Therefore, the female’s wight in decimals are 0.9
Vocabulary Check
Question 10.
Choose the correct word(s) to complete the sentence below.
decimal decimal point
A _____ is used to separate one place from the tenth place.
Answer: decimal point.
A decimal number is a number that consists of a whole number and a fractional part. The decimal point separates the whole number from the fractional part.
In the number 369.15, the decimal point separates the whole number 369 from the fractional part 15, which is 15 hundredths.
The decimal point is placed in between the ones and the tenths.
Question 11.
Which of the following represents \(\frac{32}{100}\)? Circle it.
thirty-two hundredths
0.032
0.23
thirty-two tenths
Answer:
In fractions, we can write as 32/100
In decimals, we can write as 0.32