Question

The operation symbol and the exponent are missing in the equation shown below.

7,320
10
0.07320
Which operation symbol and exponent should go in the boxes to make the
equation true?

Answer 1

The operating symbol is divide (/) and the exponent is 5

`7,320 / \ 10^5 = 0.07320`

Explanation:

Given

`7,320 \ \_\ 10^(\_) = 0.07320`

Required

Fill in the gap

`7,320 \ \_\ 10^(\_) = 0.07320`

Multiply the right hand side by 1

`7,320 \ \_\ 10^(\_) = 0.07320 * 1`

Express 1 as 100000/100000 because 100000/100000 = 1

`7,320 \ \_\ 10^(\_) = 0.07320 * (100000)/(100000)`

Split the fraction

`7,320 \ \_\ 10^(\_) = 0.07320 * 100000 * (1)/(100000)`

Multiply 0.7320 and 10000

`7,320 \ \_\ 10^(\_) = 7,320 * (1)/(100000)`

Express
`(1)/(100000)` as an exponent

`7,320 \ \_\ 10^(\_) = 7,320 * (1)/(10^5)`

Change the * sign to /

`7,320 \ \_\ 10^(\_) = 7,320 / (10^5)/(1)`

`7,320 \ \_\ 10^(\_) = 7,320 / \ 10^5`

Compare the expression on the right hand side with the left hand side base on the order of appearance;

`7,320 = 7,320`

`The first\ \ _ = \ /`

`10 = 10`

`The second\ \_ = 5`

Hence, the operating symbol is / and the exponent is 5