We included HMH Into Math Grade 5 Answer Key PDF Module 16 Lesson 3 Multiply Decimals with Zeros in the Product to make students experts in learning maths.
HMH Into Math Grade 5 Module 16 Lesson 3 Answer Key Multiply Decimals with Zeros in the Product
I Can write the correct number of zeros in the product of two decimal numbers.
Step It Out
Question 1.
Jamal and his friends arrive at the train station. The map shows distances to various attractions from the station. His guidebook recommends a sandwich shop 0.2 of the way from the train station to the zoo. How far is the sandwich shop from the train station?
A. To solve the problem, find the product 0.2 × 0.3. What is the related whole-number product?
Answer:
Product 0.2 × 0.3 = 0.06.
Explanation:
Product 0.2 × 0.3:
product 0.2 × 0.3 = 0.06.
The related whole-number product = 6.
B. How many decimal place values are needed in the decimal product?
Answer:
Decimal place values are needed in the decimal product are 2.
Explanation:
2 decimal place values are needed in the decimal product.
C. There is only one digit in the whole-number product. Write zeros, as needed, to the left of the whole-number product so that there are enough digits to place the decimal point correctly. What is the decimal product?
Answer:
0.06 is the decimal product.
Explanation:
The related whole-number product = 6.
Write zeros, as needed, to the left of the whole-number product so that there are enough digits to place the decimal point correctly.
=>?? × 6 = 0.06.
=> ?? = 0.06 ÷ 6
=> ?? = 0.01.
D. How far is the sandwich shop from the train station?
Answer:
Distance of sandwich shop from Train station = 0.06mi.
Explanation:
Distance of zoo from train station = 0.3mi.
His guidebook recommends a sandwich shop 0.2 of the way from the train station to the zoo.
=> Distance of sandwich shop from Train station = 0.2 × 0.3
= 0.06mi.
Turn and Talk Do you need to write zeros to the left of the whole-number product if the decimal product is 0.4 × 0.3? Explain.
Answer:
Yes, there is no need to write zeros to the left of the whole-number product if the decimal product is 0.4 × 0.3 because zeros before the number as not value.
Explanation:
There is a need to write zeros to the left of the whole-number product if the decimal product is 0.4 × 0.3 because :
0.4 × 0.3 = 0.12.
4 × 3 = 12.
=> ?? × 12 = 0.12
=> ?? = 0.12 ÷ 12
=> ?? = 0.01.
Question 2.
The animals at a zoo are exhibited in rectangular-shaped spaces. What is the area of the giraffe space? What is the area of the zebra space?
A. To find the area of the giraffe space, multiply 0.2 and 0.07. How many decimal place values are in each factor?
Answer:
Area of Giraffe space = 0.014 sq km.
Explanation:
Length of Giraffe space = 0.2 km.
Width of Giraffe space = 0.07 km
Area of Giraffe space = Length of Giraffe space × Width of Giraffe space
= 0.2 × 0.07
= 0.014 sq km.
3 decimal place values are in each factor.
B. How many decimal place values are in the product 0.2 × 0.07?
Answer:
There are 3 decimal place values are in the product 0.2 × 0.07.
Explanation:
Decimal place values are in the product 0.2 × 0.07.
C. How many digits are in the whole-number product 2 × 7?
Answer:
2 digits are in the whole-number product 2 × 7.
Explanation:
Whole-number product 2 × 7:
2 × 7 = 14.
D. How many zeros do you need to write to the left of the whole-number product 2 × 7 to place the decimal point in the product 0.2 × 0.07?
Answer:
two zeros are needed to write to the left of the whole-number product 2 × 7 to place the decimal point in the product 0.2 × 0.07.
Explanation:
Product 0.2 × 0.07 = 0.014.
Whole-number product 2 × 7 = 14.
?? × 14 = 0.014
=> ?? = 0.014 ÷ 14
=> ?? = 0.001.
E. What is the area of the giraffe space?
Answer:
Area of Giraffe space = 0.014 sq km.
Explanation:
Length of Giraffe space = 0.2 km.
Width of Giraffe space = 0.07 km
Area of Giraffe space = Length of Giraffe space × Width of Giraffe space
= 0.2 × 0.07
= 0.014 sq km.
F. Find the area of the zebra space. Multiply 0.2 and 0.04. How many decimal place values are in the product 0.2 × 0.04?
Answer:
Area of zebra space = 0.08 sq km.
Explanation:
Length of zebra space = 0.2 km.
Width of zebra space = 0.04 km
Area of zebra space = Length of zebra space × Width of zebra space
= 0.2 × 0.04
= 0.008 sq km.
3 decimal place values are in the product 0.2 × 0.04.
G. How many zeros do you need to write to the left of the whole-number product 2 × 4 to place the decimal point in the product 0.2 × 0.04?
Answer:
2 zeros do you need to write to the left of the whole-number product 2 × 4 to place the decimal point in the product 0.2 × 0.04.
Explanation:
Product 0.2 × 0.04 = 0.008.
whole-number product 2 × 4 = 8.
=> ?? × 8 = 0.008
=> ?? = 0.008 ÷ 8
=> ?? = 0.001.
H. What is the area of the zebra space?
Answer:
Area of zebra space = 0.08 sq km.
Explanation:
Length of zebra space = 0.2 km.
Width of zebra space = 0.04 km
Area of zebra space = Length of zebra space × Width of zebra space
= 0.2 × 0.04
= 0.008 sq km.
3 decimal place values are in the product 0.2 × 0.04.
Turn and Talk Is the area of the elephant space equal to either of the other two animal spaces? How can you tell?
Answer:
No, area of the elephant space equal to either of the other two animal spaces because area of elephant is equal to area of Giraffe space and their combined area is more.
Explanation:
Area of Giraffe space = 0.014 sq km.
Area of zebra space = 0.08 sq km.
Length of elephant space = 0.14 km.
Width of elephant space = 0.1 km
Area of elephant space = Length of elephant space × Width of elephant space
= 0.14 × 0.1
= 0.014 sq km.
Combined area of Giraffe and zebra:
Area of Giraffe space + Area of zebra space
= 0.014 + 0.08
= 0.094 sq km.
Check Understanding
Question 1.
A store has a model airplane that has a mass of 0.3 kilogram. It also has a model helicopter that has a mass that is 0.3 as much as the mass of the airplane. What is the mass of the helicopter?
Answer:
Mass of a model helicopter a store has = 0.3 kilogram.
Explanation:
Mass of a model airplane a store has = 0.3 kilogram.
It also has a model helicopter that has a mass that is 0.3 as much as the mass of the airplane.
=> Mass of a model helicopter a store has = 0.3 kilogram.
Multiply.
Question 2.
Answer:
Explanation:
Multiplication of 0.6 and 0.1:
0.6 × 0.1 = 0.06.
Question 3.
Answer:
Explanation:
Multiplication of 0.03 and 0.3:
0.03 × 0.3 = 0.009.
Question 4.
Answer:
Explanation:
Multiplication of 0.08 and 0.4:
0.08 × 0.4 = 0.032.
On Your Own
Question 5.
The reptile and amphibian exhibit has a tree frog that is 0.4 as long as the bullfrog shown. What is the length of the tree frog? Explain how you know.
Answer:
Length of the tree frog = 0.2m
Explanation:
Length of a bullfrog = 0.2 m.
The reptile and amphibian exhibit has a tree frog that is 0.4 as long as the bullfrog shown.
=> Length of the tree frog = 0.2m
Question 6.
Sweet potatoes cost $0.85 for one pound. If Jaylen buys 0.8 pound of sweet potatoes, how much does he pay?
Answer:
Amount of money he needs to pay = $0.68
Explanation:
Cost of each pound of Sweet potatoes = $0.85.
Number of pounds of Sweet potatoes he buys = 0.8.
Amount of money he needs to pay = Cost of each pound of Sweet potatoes × Number of pounds of Sweet potatoes he buys
= $0.85 × 0.8
= $0.68.
Multiply.
Question 7.
Answer:
Explanation:
Multiplication of 0.1 and 0.7:
0.1 × 0.7 = 0.07.
Question 8.
Answer:
Explanation:
Multiplication of 0.3 and 0.4:
0.3 × 0.4 = 0.12.
Question 9.
Answer:
Explanation:
Multiplication of 0.8 and 0.5:
0.8 × 0.5 = 0.40.
Question 10.
Answer:
Explanation:
Multiplication of 0.06 and 0.9:
0.06 × 0.9 = 0.054.
Question 11.
Answer:
Explanation:
Multiplication of 0.02 and 0.3:
0.02 × 0.3 = 0.006.
Question 12.
Answer:
Explanation:
Multiplication of 0.09 and 0.7:
0.09 × .07 = 0.063.
Question 13.
Answer:
Explanation:
Multiplication of $.8 and 0.1:
$0.8 × 0.1 = $0.08
Question 14.
Answer:
Explanation:
Multiplication of $0.05 and 0.4:
$0.05 × 0.4 = $0.020.
Question 15.
Answer:
Explanation:
Multiplication of $0.60 and 0.4:
$0.60 × 0.4 = $0.240.
Find the unknown number.
Question 16.
________ × 0.05 = 0.04
Answer:
0.8 × 0.05 = 0.04
Explanation:
?? × 0.05 = 0.04.
=> ?? = 0.04 ÷ 0.05
=> ?? = 0.8.
Question 17.
0.6 × ___________ = 0.048
Answer:
0.6 × 0.08 = 0.048
Explanation:
0.6 × ?? = 0.048
=> ?? = 0.048 ÷ 0.6
=> ?? = 0.08.
Question 18.
0.012 = 0.04 × ________
Answer:
0.012 = 0.04 × 0.3.
Explanation:
0.012 = 0.04 × ??
=> 0.012 ÷ 0.04 = ??
=> 0.3 = ??
Question 19.
Patricia has 0.3 liter of lemon juice. She needs 0.2 times as much as that amount for a recipe. How much lemon juice does she need for the recipe?
Answer:
Number of liters of lemon juice she needs for the recipe = 0.06.
Explanation:
Number of liters of lemon juice Patricia has = 0.3 liter.
She needs 0.2 times as much as that amount for a recipe.
=> Number of liters of lemon juice she needs for the recipe = 0.2 × Number of liters of lemon juice Patricia has
= 0.2 × 0.3
= 0.06.
Question 20.
Construct Arguments Geno multiplies 0.35 by 0.2 and gets 0.007. Elena says the product is 0.07. Who is correct? Explain how you know.
Answer:
Elena is correct because 0.35 × 0.2 = 0.07.not 0.007.
Explanation:
Product of 0.35 and 0.2:
0.35 × 0.2 = 0.07.
Question 21.
Attend to Precision Which product is greater, 0.3 × 0.08 or 0.06 × 0.4? Explain how you know.
Answer:
Both product are same 0.024.
Explanation:
Product:
0.3 × 0.08 = 0.024.
0.06 × 0.4 = 0.024.
Question 22.
Reason Explain how you know if the product of a decimal less than 1 to the tenths place and a decimal less than 1 to the hundredths place has zeros between the decimal point and the first nonzero digit to the right of the decimal point.
Answer:
The product of a decimal less than 1 to the tenths place and a decimal less than 1 to the hundredths place has zeros between the decimal point and the first nonzero digit to the right of the decimal point.
=> 0.01 × 0.001 = 0.00001
Explanation:
The product of a decimal less than 1 to the tenths place and a decimal less than 1 to the hundredths place has zeros between the decimal point and the first nonzero digit to the right of the decimal point.
=> 0.01 × 0.001 = 0.00001