Divide Scientific Notation

Divide the front parts.
9.02 ÷ 3.75 = 2.405...

Scientific Notation - Definition

Divide the power parts.

10⁷ ÷ 10⁴
= 10^{7 - 4}
= 10³

Quotient of Powers

So (given) = 2.405... × 10³.

The given front parts,
9.02 and 3.75,
have three significant digits.

So, to make the front part
three significant digits,
round 2.405...
to the nearest hundredth:
2.41.

Round a Number

So 2.41 × 10³ is the answer.

Divide the front parts.
1.57 ÷ 8.06 = 0.1742...

Divide the power parts.

10⁸ ÷ 10⁵
= 10^{8 - 5}
= 10³

So (given) = 0.1742... × 10³.

The given front parts,
1.57 and 8.06,
have three significant digits.

So, to make the front part
three significant digits,
round 0.1742...
to the nearest thousandth:
0.174.

0.174 is not the front part,
because it doesn't satisfy
1 ≤ [front part] < 10.

Scientific Notation - Definition

So, to make the front part,
split 0.174 to 1.74⋅10^-1.

10^-1⋅10³ = 10²

So 1.74 × 10² is the answer.