Question

Which strategies can be used to find the product of 629 x 100? Check all that apply.

moving the digits of 629 three places to the left
multiplying (600 + 20 + 9) x 100
putting 2 zeros on the end of 629
moving the digits of 629 two places to the right
multiplying (6,000 + 200 +90) x 10

Answer 1

The strategies (2), (3) and (5) can be applied.

Explanation:

In this case we need to compute the product of 629 × 100.

The product can be found in the following ways:

• multiplying (600 + 20 + 9) x 100

`(600 + 20 + 9) * 100=(600* 100)+(20* 100)+(9* 100)\\=60000+2000+900\\=62900`

• putting 2 zeros on the end of 629

`629* 100=62900`

• multiplying (6,000 + 200 +90) x 10

`(6000 + 200 + 90) * 10=(6000* 10)+(200* 10)+(90* 10)\\=60000+2000+900\\=62900`

Thus, the strategies (2), (3) and (5) can be applied.