All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 10 Lesson 4 Model Decimals and Fractions will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 10 Lesson 4 Model Decimals and Fractions
You can write a decimal as a fraction. Both a decimal and a fraction show part of a whole.
Draw It
Write 0.4 as a fraction with a denominator of 10.
1. Write the decimal in the place-value chart.
2. Shade the grid to represent four tenths.
Shade four of the ten equal parts.
3. Write a fraction.
Think of 0.4 as four tenths as \(\frac{4}{10}\).
Check:
The number line shows that 0.4 is 4 out of 10 or \(\frac{4}{10}\).
Answer:
1) 
2) 
3) 
Try It
Write 0.45 as a fraction with a denominator of 100.
Use a number line.
So, 0.45 can be written as 
.
Answer:
0.45 can be written as 45 divided by 100.
Talk About It
Question 1.
Shade the models below to show how 0.7 and 0.70 are equivalent.
Answer:
0.7 is indicated with an yellow color, where 7 parts are filled out of 10 total parts.
So, 7 divided by 10 gives 0.7 in decimal.
0.70 is indicated with an yellow color, where 70 parts are filled out of 100 total parts.
So, 70 divided by 100 gives 0.70 in decimal.
Question 2.
Write two fractions that represent the models in Exercise 1.
Answer: similar to Question1, 0.2 and 0.20 are equivalent.
0.2 is indicated with an pink color, where 2 parts are filled out of 10 total parts.
So, 2 divided by 10 gives 0.2 in decimal.
0.20 is indicated with an pink color, where 20 parts are filled out of 100 total parts.
So, 20 divided by 100 gives 0.20 in decimal.
Question 3.
Mathematical PRACTICE Draw a Conclusion Explain how you could write \(\frac{9}{10}\) as a fraction with a denominator of 100 without using models.
Answer: \(\frac{9}{10}\) is equivalent to \(\frac{90}{100}\) with a denominator of 100.
Since 1 tenth is equal to 10 hundredths, 9 tenths is equal to 90 hundredths. You could also find the equivalent fraction by multiplying the numerator and denominator by 10.
Question 4.
Explain how you could write 0.78 as a fraction with a denominator of 100 without using models.
Answer: \(\frac{78}{100}\) is the fractional form of 0.78 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
Practice It
Write each decimal as a fraction with a denominator of 10. Shade the grid.
Question 5.
0.2 = ______________
Answer: \(\frac{2}{10}\) is the fractional form of 0.2 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 6.
0.7 = ______________
Answer: \(\frac{7}{10}\) is the fractional form of 0.7 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 7.
0.3 = ______________
Answer: \(\frac{3}{10}\) is the fractional form of 0.3 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 8.
0.5 = ______________
Answer: \(\frac{5}{10}\) is the fractional form of 0.5 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 9.
0.6 = ______________
Answer: \(\frac{6}{10}\) is the fractional form of 0.6 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 10.
0.1 = ______________
Answer: \(\frac{1}{10}\) is the fractional form of 0.1 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Write each decimal as a fraction with a denominator of 100. Shade the grid.
Question 11.
0.39 = ______________
Answer: \(\frac{39}{100}\) is the fractional form of 0.39 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 12.
0.71 = ______________
Answer: \(\frac{71}{100}\) is the fractional form of 0.71 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 13.
0.12 = ______________
Answer: \(\frac{12}{100}\) is the fractional form of 0.12 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 14.
0.09 = ______________
Answer: \(\frac{9}{100}\) is the fractional form of 0.09 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 15.
0.23 = ______________
Answer: \(\frac{23}{100}\) is the fractional form of 0.23 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 16.
0.02 = ______________
Answer: \(\frac{2}{100}\) is the fractional form of 0.02 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Apply It
Question 17.
There are 10 cars on the race track. If 0.3 of the cars are red, what fraction of the cars are not red? Write as a fraction with a denominator of 10.
Answer: 0.3 which is 3 out of 10 cars are in red color. So, remaining cars which are not in red color are 7. Therefore, if you divide 7 by 10, then the fraction is \(\frac{7}{10}\)
Question 18.
On Monday, it snowed 0.6 of an inch. Write 0.6 as a fraction with a denominator of 10.
Answer: \(\frac{6}{10}\) is the fractional form of 0.6 with the denominator 10.
Question 19.
There are 100 students at the gymnastics competition. 57 hundredths, or 0.57 of the students are nine years old. Write 0.57 as a fraction with a denominator of 100.
Answer: \(\frac{57}{100}\) is the fractional form of 0.57 with the denominator 100.
Question 20.
The fourth grade class is donating 100 clothing items to charity. 63 hundredths of the items are sweaters and 0.20 of the items are jeans. What part of the clothing items are neither sweaters nor jeans’ Write the number as a fraction with a denominator of 100.
Answer: Total clothing items =100
Total number of sweaters out of 100= 63
Total number of jeans out of 100= 20
The items which are neither sweaters nor jeans are 100-63-20 = 17 out of 100
If you divide 17 by 100, \(\frac{17}{100}\) is the fractional part.
Question 21.
Mathematical PRACTICE Explain to a Friend Explain to a classmate why 0.8 and 0.80 name the same number.
Answer: 0.8 is equivalent to 0.80.
Since 1 tenth is equal to 10 hundredths, 8 tenths is equal to 80 hundredths. You could also find the equivalent fraction by multiplying the numerator and denominator by 10.
Write About It
Question 22.
How can I use models to relate fractions and decimals?
Answer: Both decimals and fractions are represented using models. The coloured parts out of the total number of parts are used to illustrate the example of both fractions and decimals.
For instance, Suppose there are 10 components, 4 of which are blue. Therefore, \(\frac{4}{10}\) is in the fractional component and 0.4 is in the decimal part when you divide 4 by 10.
McGraw Hill My Math Grade 4 Chapter 10 Lesson 4 My Homework Answer Key
Practice
Write each decimal as a fraction with a denominator of 10. Shade the grid.
Question 1.
0.1 = ________________
Answer: \(\frac{1}{10}\) is the fractional form of 0.1 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 2.
0.3 = ________________
Answer: \(\frac{3}{10}\) is the fractional form of 0.3 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Question 3.
0.9 = ________________
Answer: \(\frac{9}{10}\) is the fractional form of 0.9 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 10.
The yellow color shaded parts in the above represents the given number.
Write each decimal as a fraction with a denominator of 100. Shade the grid.
Question 4.
0.17 = ________________
Answer: \(\frac{17}{100}\) is the fractional form of 0.17 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 5.
0.24 = ________________
Answer: \(\frac{24}{100}\) is the fractional form of 0.24 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Question 6.
0.88 = ________________
Answer: \(\frac{88}{100}\) is the fractional form of 0.88 decimal.
To convert decimal into the fraction by multiplying the numerator and denominator by 100.
The pink color shaded parts in the above represents the given number.
Problem Solving
Mathematical PRACTICE Model Math For Exercises 7-9, refer to the table that shows the part of pets that Josiah’s family has for each type of pet.
Question 7.
Write the part of pets that are cats as a fraction with a denominator of 10.
Answer: The total number of cats are 0.2
0.2 in decimal is converted into fraction by dividing 2 by 10, which is \(\frac{2}{10}\)
Question 8.
Write the part of pets that are fish as a fraction with a denominator of 10.
Answer: The total number of cats are 0.4
0.4 in decimal is converted into fraction by dividing 4 by 10, which is \(\frac{4}{10}\)
Question 9.
Write the part of pets that are fish as a fraction with a denominator of 100.
Answer: The total number of cats are 0.4
0.4 in decimal is converted into fraction with a denominator of 100 by dividing 4 by 100, which is \(\frac{4}{100}\)