Step by step
The question
Question: work out 6 × 10⁵ divided by 3 × 10⁻².
6 × 1053 × 10−2
1 Group the parts
We divide the numbers, and we divide the powers of 10.
= 63 × 10510−2
2 Work out each part
6 divided by 3 is 2.
6 ÷ 3 = 2
We write 2 for the numbers.
= 2 × 10510−2
The rule: when we divide powers of the same number, here 10, we take away the powers.
5 minus −2: taking away a minus is adding.
That is 7.
10510−2 = 105 − (−2)
= 107
So the answer is 2 × 10⁷.
= 2 × 107
3 Check
Let's check the answer is in scientific notation.
2 is from 1 to under 10, and it is times a power of 10.
Yes!
2 is from 1 to under 10, times 107
Let's look back.
First: group the parts.
Then: work out each part.
Last: check.
Answer
= 2 × 107