# McGraw Hill My Math Grade 5 Chapter 6 Lesson 4 Answer Key Use Models to Multiply Decimals

All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 6 Lesson 4 Use Models to Multiply Decimals will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 6 Lesson 4 Use Models to Multiply Decimals

Draw It

Find 0.3 × 0.7 using a decimal model. 1. Use one 10-by-10 decimal model.

2. Shade a rectangle that is 0.3 unit wide and 0.7 unit long.

3. There are ___________ hundredths in the shaded region. The shaded region represents the area of a rectangle with a length of 0.7 unit and a width of 0.3 unit. So, 0.3 × 0.7 = ___________.
0.3 × 0.7 = 0.21
Explanation:
There are 0.21 hundredths in the shaded region.
The shaded region represents the area of a rectangle,
with a length of 0.7 unit and a width of 0.3 unit.
So, 0.3 × 0.7 = 0.21 Question 1.
How are the equations 3 × 7 = 21 and 0.3 × 0.7 = 0.21 similar? How are they different?
Both are same.
3 × 7 = 21 and 0.3 × 0.7 = 0.21 similar
Explanation:
3 x 7 = 21 is multiplication of whole numbers.
0.3 x 0.7=0.21 is multiplication of decimal numbers.

Question 2.
Mathematical PRACTICE Use Math Tools How is using a model to multiply 0.3 by 0.7 similar to finding the area of a rectangle?
Mathematical decimal multiplication model and shading of area model by
Using three 10-by-10 decimal models to find the area of rectangle are similar as shown in the above questions.
Explanation:
There are 0.21 hundredths in the shaded region.
The shaded region represents the area of a rectangle,
with a length of 0.7 unit and a width of 0.3 unit.
So, 0.3 × 0.7 = 0.21 Try It

Find 0.4 × 2.4 using decimal models. 1. Use three 10-by-10 decimal models side by side.

2. Shade a rectangle that is 0.4 unit wide and ____________ units long.

3. Shade the same amount of squares on a 10-by-10 grid. 4. There are ___________ hundredths in the shaded region.
So, 0.4 × 2.4 = ____________.
0.4 × 2.4 = 0.96
Explanation:
Shade a rectangle that is 0.4 unit wide and 2.4 units long.
Shade the same amount of squares on a 10-by-10 grid. There are 0.96 hundredths in the shaded region.
So, 0.4 × 2.4 = 0.96

Question 3.
Without using models, explain why 2 tenths times 3 tenths is equal to 6 hundredths. Use place value in your explanation.
0.2 x 0.3 = 0.06
Explanation:
Decimal place value. The first digit after the decimal represents the tenths place.
The next digit after the decimal represents the hundredths place.
0.2 x 0.3 = 0.06

Question 4.
The table shows some factors and their products. Study the table. Write a rule you can use to find the product of two decimals, both to the tenths place, without using models. 0.3 x 0.7 = 0.21
$$\frac{3}{10}$$ x $$\frac{7}{10}$$ = $$\frac{21}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.3 x 0.7 = 0.21

Question 5.
Mathematical PRACTICE Stop and Reflect Without using models, find 0.4 × 0.8. Explain how you found the product.
0.4 x 0.8 = 0.32
Explanation:
$$\frac{4}{10}$$ x $$\frac{8}{10}$$ = $$\frac{32}{100}$$
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.4 x 0.8 = 0.32

Practice It

Shade the decimal models to find each product.

Question 6.
0.4 × 0.8 = ___________ 0.32 $$\frac{4}{10}$$ x $$\frac{8}{10}$$ = $$\frac{32}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.4 x 0.8 = 0.32

Question 7.
0.5 × 0.6 = ___________ 0.3 $$\frac{5}{10}$$ x $$\frac{6}{10}$$ = $$\frac{30}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.5 x 0.6 = 0.30

Question 8.
0.2 × 0.9 = _____________ 0.18 $$\frac{2}{10}$$ x $$\frac{9}{10}$$ = $$\frac{18}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.2 x 0.9 = 0.18

Question 9.
0.4 × 0.6 = ______________ 0.24 $$\frac{4}{10}$$ x $$\frac{6}{10}$$ = $$\frac{24}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.4 x 0.6 = 0.24

Question 10.
0.3 × 1.8 = _____________ 0.54 $$\frac{3}{10}$$ x $$\frac{18}{10}$$ = $$\frac{54}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.3 x 1.8 = 0.54

Question 11.
0.2 × 1.4 = ______________ 0.28 $$\frac{2}{10}$$ x $$\frac{14}{10}$$ = $$\frac{28}{100}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.2 x 1.4 = 0.28

Apply It

Question 12.
Diana’s house has a rectangular window on the door with a height of 1.5 feet and a width of 0.8 feet. What is the area of the window? Shade the decimal models to solve the problem. 1.2
Explanation:
0.8 x 1.5 = 1.2 $$\frac{8}{10}$$ x $$\frac{15}{10}$$ = $$\frac{120}{100}$$
Explanation:
When multiplying a number by a decimal less than one, t
he product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.8 x 1.5 = 1.2

Question 13.
Mathematical PRACTICE Reason Use the decimal model below to explain why 0.5 × 0.11 is 0.055. 0.5 x 0.11 = 0.055
$$\frac{5}{10}$$ x $$\frac{11}{100}$$ = $$\frac{55}{1000}$$
Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.5 x 0.11 = 0.055

Question 14.
How does a model help me multiply decimals?
A model is a grid that helps in the multiplication of decimals and whole numbers.
It’s a grid with 10 columns and 10 rows.
It is very easy to solve for the missing factor or product.

### McGraw Hill My Math Grade 5 Chapter 6 Lesson 4 My Homework Answer Key

Practice

Shade the decimal models to find each product.

Question 1.
0.7 × 0.5 = ____________ 0.35 Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.7 x 0.5 = 0.35

Question 2.
0.8 × 0.2 = _____________ 0.16 Explanation:
When multiplying a number by a decimal less than one,
the product will be smaller than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.8 x 0.2 = 0.16

Question 3.
0.6 × 2.2 = _____________ 1.32
0.6 × 2.2 = 1.32 Explanation:
When multiplying a number by a decimal more than one,
the product will be larger than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
0.6 x 2.2 = 1.32

Problem Solving

Shade the decimal models to solve each problem.

Question 4.
Lanny bought 1.4 pounds of rice that cost $0.40 per pound. How much does Lanny pay for the rice? Answer:$0.56
0.4 × 1.4 = 0.56 Explanation:
Lanny bought 1.4 pounds of rice that cost $0.40 per pound. When multiplying a number by a decimal more than one, the product will be larger than the number being multiplied. This is because we are finding a fractional amount of a quantity. Total amount paid by Lanny for rice is, 0.4 x 1.4 =$0.56

Question 5.
Abbey purchased a poster that had a height of 2 feet and a width of 0.7 foot. What is the area of Abbey’s poster? 1.4 square feet.
0.7 × 2.0 = 1.4 Explanation:
Abbey purchased a poster that had a height of 2 feet and a width of 0.7 foot.
When multiplying a number by a decimal more than one,
the product will be larger than the number being multiplied.
This is because we are finding a fractional amount of a quantity.
The area of Abbey’s poster is,
0.7 x 2.0 = 1.4 square feet.

Question 6.
Mathematical PRACTICE Use Math Tools Diana spends 0.8 hour per day at the pool. If she goes to the pool for 2 days one week, how many total hours does Diana spend at the pool that week?  