Question

100 PTS

Find the difference between (1.3 × 108) and (3.8 × 107). Write the final answer in scientific notation.

Answer 1

9.2 × 10⁷

Explanation:

Exponent Rule:

`\boxed{a^(b+c)=a^b \cdot a^c}`

`\begin{aligned}(1.3 * 10^8)- (3.8 * 10^7)&=(1.3 * 10^(7+1)) - (3.8 * 10^(7))\\&=(1.3 * 10^7 * 10^1) - (3.8 * 10^(7))\\&=(1.3 * 10^1 * 10^(7)) - (3.8 * 10^(7))\\&=(13* 10^(7)) - (3.8 * 10^(7))\\&=(13-3.8) * 10^(7)\\&=9.2 * 10^(7)\end{aligned}}`

Answer 2

• 9.2 × 10⁷

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Find the difference in below steps:

• 1.3 × 10⁸ - 3.8 × 10⁷ =
• 1.3 × 10 × 10⁷ - 3.8 × 10⁷ =
• 13 × 10⁷ - 3.8 × 10⁷ =
• (13 - 3.8) × 10⁷ =
• 9.2 × 10⁷