Question

For the second question the options are: 71034, 71034000, 710.34 and 7013.4

Answer 1

`0.0005`
`= 5 * 10^{-4`

`7.1034 * 10^3 = 7103.4`

Explanation:

Solving (a):

`0.0005`

Standard form is represented as:

`a * 10^n` where
`1 \le a \le 10`

Move the decimal point to 5 and count the number of times the decimal point is moved forward (forward represents negative).

So:

`a = 5`

`n = -4`

Hence:

`0.0005`
`= 5 * 10^{-4`

Solving (b):

`7.1034 * 10^3`

Express
`10^3` as
`1000`

This gives:

`7.1034 * 10^3 = 7.1034 * 1000`

`7.1034 * 10^3 = 7103.4`