Multiply With Zeroes

If asked to multiply 18 by 100 quicky, what is the short cut?

• add 3 zeroes after 18

• add 2 zeroes after 18

• add 2 zeroes between 1 and 8

• multiply using a calculator

Look at the number sentence below. 3,100 × ? = 3,100,000 Which statement gives the missing factor and explains how the product is found?

• Multiply by 10³ and add 3 zeroes to 3,100

• Multiply by 10⁵ and add 5 zeroes to 3,100.

• Multiply by 10³ and subtract 3 zeroes from 3,100.

• Multiply by 10⁵ and subtract 5 zeroes from 3,100.

Ms. Sky asked Sage to solve for 10⁴ on the board. While solving, Sage noticed a pattern between the exponent in the expression and the number of zeros in her answer. Ms. Sky asked her to share her answer and pattern with the rest of the class.

Sage solved 10⁴ to equal 10,000. Was she correct?

What is the pattern between the exponent and her answer?

The chocolate factory is about 1,200 miles from Mrs. Hill's house and this makes her very sad! What is this distance written as a whole number multiplied by a power of ten?

• 120 X 10⁰

• 12 X 10²

• 12 X 10³

• 12 X 10⁴

7 x 1,000= ​ (a)   .

7 x 10 x 10 x 10 = ​ (b)   .

7 ones x 1,000 = ​ (c)   .

Draw a place value disk and arrows as shown to represent each product.

• 7,000

• 7 thousands

• A

• B

• C

• D

When multiplying a whole number by 10³, what is the relationship between the exponent and the number of zeros added to the product?

• One zero should be added to the product.

• Two zeros should be added to the product.

• Three zeros should be added to the product.

• Four zeros should be added to the product.

Look at the expression. How many zeroes are in the answer after the numbers are multiplied?

• 0

• 2

• 4

• 6