# Dividing Scientific Notation

How to solve dividing numbers in scientific notation problems: examples and their solutions.

## Example 1

Divide the blue parts and the red parts separately.

Quotient of powers (red)

9.02 ÷ 3.75 is 2.40533... .

But both 9.02 and 3.75 has 3 significant digits.

So round 2.40533... to 3 significant digits: 2.41.

Rounding:

0-4 → round down

5-9 → round up

## Example 2

Divide the blue parts and the red parts separately.

Quotient of powers (red)

1.57 ÷ 8.06 is 0.17425... .

So, by rounding, it'll be 0.174.

But 0.174 is not in this interval:

1 ≤ 0.17 < 10.

So change 0.174 to 1.74 × 10^{-1}.

And multiply this 10^{-1} and 10^{3}.

So the answer is 1.74 × 10^{2}.