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.

$4.13\times 10^3= 4130\\413,000 : 10^2 = 4130$

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 $4.13\times 10^3= 4130$

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 $413,000 : 10^2 = 4130$