Question

The following equations involve different quantities and use different operations, yet produce the same result. Use a place value chart and words to explain why this is true.

4.13 x 10³ = 4130
413,000 : 10² = 4130

Answer 1

Answer and explanation:

Given : The following equations involve different quantities and use different operations, yet produce the same result.

`4.13* 10^3= 4130\\413,000 : 10^2 = 4130`

To find : Use a place value chart and words to explain why this is true ?

Solution :

According to place value system,

1)Thousand Hundred Tens Ones Tenth Hundredth

4 1 3

4 1 3 0

When we multiply the number by 1000, the digits moved 3 places to the left because they got larger.

So, As
`4.13* 10^3= 4130`

2)Hundred Th. Ten Th. Thousand Hundred Tens Ones

4 1 3 0 0 0

4 1 3 0

When we divide the number by 100, the digits moved 2 places to the right because they got smaller.

So, As
`413,000 : 10^2 = 4130`