Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 2 Lesson 2.4 Patterns of Zeros and Decimals in Products and Quotients regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 2 Lesson 2.4 Patterns of Zeros and Decimals in Products and Quotients Answers Key
When a number is multiplied or divided by a multiple of 10, the number of zeros and decimals in the product or quotient will vary based on the value of the multiple of 10 that is used.
0.2658 × 1 = 0.2658
0.2658 × 10 = 2.658
0.2658 × 100 = 26.58
0.2658 × 1,000 = 265.8
0.2658 × 10,000 = 2,658.0
0.2658 × 100,000 = 26,580.0
0.2658 × 1,000,000 = 265,8000
When a number is multiplied by a power of 10, the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
265,800 ÷ 1 = 265,800.0
265,800 ÷ 10 = 265,80.0
265,800 ÷ 100 = 2,658.0
265,800 ÷ 1,000 = 2,65.8
265,800 ÷ 10,000 = 26.58
265,800 ÷ 1,00,000 = 2.658
265,800 ÷ 1,000,000 = 0.2658
When a number is divided by a power of 10, the decimal in the product moves to the left and zeros are added to the right of the decimal when needed.
Multiply by the power of ten to find the product.
Question 1.
a. 21.48 × 10
Answer:
214.8
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
So, 21.48 × 10 = 214.8
b. 6.07 × 1,000
Answer:
6,070
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
So, 6.07 × 1,000 = 6,070
c. 7.58 × 100
Answer:
758
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
So, 7.58 x 100 = 758
Question 2.
a. 7.434 × 100,000
Answer:
743,400
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
7.434 x 100,000 = 743,400
b. 0.7 × 1,000
Answer:
700
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
0.7 x 1,000 = 700
c. 0.502 × 10,000
Answer:
5,020
Explanation:
We know that,
when a number is multiplied by a multiple of 10,
the number of zeros and decimals in the product will vary based on the value of the multiple of 10 that is used and the decimal in the product moves to the right and zeros are added to the left of the decimal when needed.
0.502 x 10,000 = 5,020
Divide by the power of ten to find the quotient.
Question 3.
a. 13.4 ÷ 10
Answer:
1.34
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 13.4 ÷ 10 = 1.34
b. 27.65 ÷ 100
Answer:
0.2765
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 27.65 ÷ 100 = 0.2765
c. 320.7 ÷ 10
Answer:
32.07
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 320.7 ÷ 10 = 32.07
Question 4.
a. 3.457 ÷ 100
Answer:
0.03457
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 3.457 ÷ 100 = 0.03457
b. 82.93 ÷ 10
Answer:
8.293
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 82.93 ÷ 10 = 8.293
c. 726.9 ÷ 1,000
Answer:
0.7269
Explanation:
We know that,
When a number is divided by a multiple of 10,
the number of zeros and decimals in the quotient will vary based on the value of the multiple of 10 that is used and the decimal in the quotient moves to the left and zeros are added to the right of the decimal when needed.
So, 726.9 ÷ 1,000 = 0.7269