McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 7 Use Models to Write Fractions as Decimals will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 8 Lesson 7 Use Models to Write Fractions as Decimals

You can use models to write fractions as equivalent decimals.

Draw It
Use a model to write \(\frac{1}{2}\) as a decimal.
1. Write \(\frac{1}{2}\) as an equivalent fraction with a denominator of 10.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 1
2. Shade a model of McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 2 using the grid.
Shade McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 1 using the grid.
How many tenths are shaded? five
The model shows five tenths or 0.5
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 3
So, \(\frac{1}{2}\) = \(\frac{5}{10}\)
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 4

McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 15

Helpful Hint
Multiplying \(\frac{1}{2}\) by \(\frac{5}{5}\) is the same as multiplying \(\frac{1}{2}\) by 1. The result is an equivalent fraction.

Try It
Use a model to write \(\frac{3}{4}\) as a decimal.

1. Write \(\frac{3}{4}\) as a fraction with a denominator of 100.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 5
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 2
\(\frac{3}{4}\) = \(\frac{75}{100}\)
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 6

2. Shade a model of McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 2 using the 10-by-10 grid.
Shade a model of \(\frac{75}{100}\) using the 10-by-10 grid.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 8

How many squares out of the loo are shaded? 75
The model shows seventy five hundredths or 0.75
So, \(\frac{3}{4}\) = \(\frac{75}{100}\)

Talk About It

Question 1.
Mathematical PRACTICE 4 Model Math In the first activity, how would it change if \(\frac{1}{2}\) was written as a fraction with a denominator of 100? Would the result be the same? Explain.
Answer:
The result will  be same
If \(\frac{1}{2}\) was written as a fraction with a denominator of 100 the result will be \(\frac{50}{100}\) that is 0.50 which is same as 0.5
Explanation:
Find equivalent fractions with a denominator of 100.
Since 2 × 50 = 100, multiply 1 × 50  to obtain 50.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{1}{2}\) = \(\frac{50}{100}\) means fifty hundredths, or 0.50.

Question 2.
Do \(\frac{3}{5}\) and 0.6 represent equivalent numbers? Explain.
Answer:
Yes
Explanation:
\(\frac{3}{5}\) is equal to 0.6. We’ve just expressed this as a decimal.
0.6 is the same thing as \(\frac{6}{10}\), which could be rewritten as \(\frac{3}{5}\) or vice versa.

Practice It

Mathematical PRACTICE 5 Use Math Tools Shade each model. Then write each fraction as a decimal.

Question 3.
\(\frac{1}{4}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 9
Answer: 0.25
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 1
Explanation:
Find equivalent fractions with a denominator of 100.
Since 4× 25 = 100, multiply 1 × 25  to obtain 25.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{1}{4}\) = \(\frac{25}{100}\) means twenty five hundredths, or 0.25.
Read the decimal as twenty five hundredths

Question 4.
\(\frac{3}{20}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 10
Answer: 0.15
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 2
Explanation:
Find equivalent fractions with a denominator of 100.
Since 20× 5= 100, multiply 3 × 5 to obtain 15.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{3}{20}\) = \(\frac{15}{100}\) means fifteen hundredths, or 0.15.
Read the decimal as fifteen hundredths

Question 5.
\(\frac{2}{5}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 11
Answer: 0.4
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 3
Explanation:
Find equivalent fractions with a denominator of 10.
Since 5 × 2= 10, multiply 2 × 2 to obtain 4.
Write the fraction with a denominator of 10 as a decimal.
So, \(\frac{2}{5}\) = \(\frac{4}{10}\) means four tenths, or 0.4.
Read the decimal as four tenths

Question 6.
\(\frac{3}{5}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 12
Answer: 0.6
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 4
Explanation:
Find equivalent fractions with a denominator of 10.
Since 5 × 2= 10, multiply 3 × 2 to obtain 6.
Write the fraction with a denominator of 10 as a decimal.
So, \(\frac{3}{5}\) = \(\frac{6}{10}\) means six tenths, or 0.6.
Read the decimal as six tenths

Question 7.
\(\frac{7}{10}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 13
Answer: 0.7
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 5
Explanation:
Since it is the fraction with denominator 10 we can make it to decimal.
\(\frac{7}{10}\) = seven tenths or 0.7

Question 8.
\(\frac{8}{25}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 14
Answer: 0.32
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 6
Explanation:
Find equivalent fractions with a denominator of 100.
Since 25× 4 = 100, multiply 8 × 4 to obtain 32.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{8}{25}\) = \(\frac{32}{100}\) means thirty two hundredths, or 0.32.
Read the decimal as thirty two hundredths

Apply It

Question 9.
Juanita practiced shooting 25 free throws at basketball practice. She made \(\frac{17}{25}\) of the attempts. Write the fraction of attempts made as a decimal. Use models to help you solve.
Answer: The fraction of attempts made is 0.68
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 13
Explanation:
Find equivalent fractions with a denominator of 100.
Since 25× 4 = 100, multiply 17 × 4 to obtain 68.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{17}{25}\) = \(\frac{68}{100}\) means sixty eight hundredths, or 0.68.
Read the decimal as sixty eight hundredths

Question 10.
Travis spent 20 minutes getting ready for school in the morning. He spent \(\frac{9}{20}\) of the time eating breakfast. Write this fraction of time as a decimal. Use models to help you solve.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 15
Answer: 0.45
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 19
Explanation:
Find equivalent fractions with a denominator of 100.
Since 20× 5= 100, multiply 9 × 5 to obtain 45.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{9}{20}\) = \(\frac{45}{100}\) means forty five hundredths, or 0.45.
Read the decimal as forty five hundredths

Mathematical PRACTICE 2 Use Algebra For Exercises 11-13, refer to the equation \(\frac{2 \times p}{5 \times q}\) = \(\frac{40}{100}\)

Question 11.
What must be true about p and q if the equation shows equivalent fractions?
Answer:
p and q are both equal to 20.
Explanation:
\(\frac{40}{2}\) = p, so p = 20.
\(\frac{100}{5}\) = q, so q = 20

Question 12.
What property shows that \(\frac{2}{5}\) × 1 = \(\frac{40}{100}\).
Answer:
The property is to multiplying the same constant to both the numerator and denominator i.e. 20
Explanation:
Since we given that
\(\frac{2}{5}\) × 1 = \(\frac{40}{100}\)
There is a property of making equivalent fractions by multiplying the same constant to both numerator and denominator.
\(\frac{2}{5}\) × \(\frac{20}{20}\) = \(\frac{40}{100}\)
So, The property is to multiplying the same constant to both the numerator and denominator i.e. 20

Question 13.
Write the decimal equivalent for \(\frac{2}{5}\) and \(\frac{40}{100}\).
Answer:
The decimal equivalent for \(\frac{2}{5}\) and \(\frac{40}{100}\) 0.4
Explanation:
The decimal for \(\frac{2}{5}\) is 0.4
The decimal for \(\frac{40}{100}\) is 0.40 that is equal to 0.4

Write About It

Question 14.
How can I use models to write fractions as decimals?
Answer:
To convert a fraction to a decimal, we divide the numerator. by the denominator.
If we have a mixed number, the whole number stays to the left of the decimal.
Explanation:
Shading different areas could represent equivalent values for both 10ths and 5ths.
Any starting area’s will represent fractions easily and some decimals.

McGraw Hill My Math Grade 5 Chapter 4 Lesson 7 My Homework Answer Key

Practice

Shade each model. Then write each fraction as a decimal.

Question 1.
\(\frac{9}{10}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 16
Answer: 0.9
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 7
Explanation:
Since it is the fraction with denominator 10 we can make it to decimal.
\(\frac{9}{10}\) = nine tenths or 0.9

Question 2.
\(\frac{11}{20}\) = _____
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 17
Answer: 0.55
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 8
Explanation:
Find equivalent fractions with a denominator of 100.
Since 20× 5= 100, multiply 11 × 5 to obtain 55.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{11}{20}\) = \(\frac{55}{100}\) means fifty five hundredths, or 0.55.
Read the decimal as fifty five hundredths

Problem Solving

Question 3.
Terrell hit a total of 10 home runs during the baseball season. He hit \(\frac{4}{5}\) of the home runs during the first half of the season. Write the fraction of home runs hit during the first half of the season as a decimal. Draw models to help you solve.
Answer:
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 12
Fraction of home runs hit during the first half of the season as a decimal is 0.8
Explanation:
Find equivalent fractions with a denominator of 10.
Since 5 × 2= 10, multiply 4 × 2 to obtain 8.
Write the fraction with a denominator of 10 as a decimal.
So, \(\frac{4}{5}\) = \(\frac{8}{10}\) means eight tenths, or 0.8.
Read the decimal as eight tenths

Question 4.
Mathematical PRACTICE 5 Use Math Tools Bradley and his family drove to visit a museum. They drove \(\frac{9}{25}\) of the way and stopped to get gasoline. Write the fraction of the distance traveled as a decimal. Draw models to help you solve.
Answer:
Distance traveled is 0.36
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 11
Explanation:
Find equivalent fractions with a denominator of 100.
Since 25× 4= 100, multiply 9× 4 to obtain 36.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{9}{25}\) = \(\frac{36}{100}\) means thirty six hundredths, or 0.36.
Read the decimal as thirty six hundredths

Question 5.
Lilly let her friend borrow \(\frac{1}{10}\) of the money in her purse to buy a snack. Write the fraction as a decimal. Draw models to help you solve.
Answer: 0.1
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 10
Explanation:
Since it is the fraction with denominator 10 we can make it to decimal.
\(\frac{1}{10}\) = one tenths or 0.1

Question 6.
Jackson was playing chess. Out of all the games he played, he won \(\frac{7}{25}\) of the time. Write this fraction as a decimal. Draw models to help you solve.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 18
Answer: 0.28
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals img 9
Explanation:
Find equivalent fractions with a denominator of 100.
Since 25× 4= 100, multiply 7× 4 to obtain 28.
Write the fraction with a denominator of 100 as a decimal.
So, \(\frac{7}{25}\) = \(\frac{28}{100}\) means twenty eight hundredths, or 0.28.
Read the decimal as twenty eight hundredths

Question 7.
Write the decimal that represents the shaded portion of the model.
McGraw Hill My Math Grade 5 Chapter 8 Lesson 7 Answer Key Use Models to Write Fractions as Decimals 19
Answer:
The decimal that represents the shaded portion of the model is 0.45
Explanation:
The fraction is \(\frac{45}{100}\)
forty five hundredths.

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