We included HMH Into Math Grade 5 Answer Key PDF Module 1 Lesson 2 Use Powers of 10 and Exponents to make students experts in learning maths.
HMH Into Math Grade 5 Module 1 Lesson 2 Answer Key Use Powers of 10 and Exponents
I Can rewrite expressions involving the product of a one-digit number and a power of 10 as a whole number.
Spark Your Learning
A local business has set up a website to raise money for a playground. Each donation is $10. For the first 10 days, the account receives 10 donations each day. How much does the account receive the first day? How much does the account receive after 10 days? Explain your thinking.
Answer:
Given that,
Each is donation is 10
For the first 10 days, the account receives 10 donations each day.
Then,The account receives the first day = 10 x 10 = 100.
The exponential form of 100 is 10².
Then the account received after 10 days = 100 x 10 = 1000.
The exponential form of 1000 is 10³
Turn and Talk How can you write each amount using multiplication?
Build Understanding
1. One bag of playground sand is shown. How many cubic inches of sand are in 10 bags?
A. Use multiplication to show the number of cubic inches of sand in 10 bags. How many cubic inches of sand is this?
Answer:
The total number of cubic inches in a sandbag = 1000 cubic inches.
Therefore, the cubic inches in 10 sand bags = 1000 x 10 = 10,000.
The exponential of 10,000 is 104
B. How can you write 1,000 as a product using only factors of 10? Explain how you know.
_____________________________
_____________________________
_____________________________
_____________________________
Answer:
Given that,
The number is 1000.
The factors of 10 are 1,2,5,10.
The product of 1 x 2 x 5 x 10 x 10 = 1000.
The exponential form of 1000 is 103
C. How many factors of 10 are needed to write 1,000 as a product using only factors of 10? How many factors of 10 are needed to write 10,000 as a product using only factors of 10?
_______________________________
Answer:
The factors of 10 are 1,2,5,10.
The product of 1 x 2 x 5 x 10 x 10 = 1000.
The exponential form of 1000 is 103.
The factors of 10 are needed to write 10,000 = 1 x 2 x 5 x 10 x 10 x 10.
The exponential form of 10,000 is 104
Connect to Vocabulary
You can represent repeated factors using a base and an exponent. The base is the number used as a repeated factor. The exponent is the number that shows how many times the base is used as a factor.
Exponent form: 103
Word form: the third power of ten
D. How can you write the number of cubic inches of sand in 10 bags in exponent form?
Answer:
The cubic inches in 10 bags = 1000 x 10 = 10,000.
The exponent form of 10,000 is = 103
E. A power is the number that results from repeatedly multiplying a number by itself. How can you write the answer in Part D in word form?
Answer:
The exponent form of 10,000 is = 103
The word form of 103. is the third power of ten.
Turn and Talk For powers of 10, 101 means one factor of 10, or 1 × 10. 102 means two factors of 10, or 1 × 10 × 10. What do you think 100 means?
Answer:
Given that,
101 means one factor of 10 or 1 × 10.
102 means two factors of 10, or 1 × 10 × 10.
Therefore 100 means 1.