Add 3.8 × 10⁻⁶ and 4.2 × 10⁻⁵ with due regards to significant figures.
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Dear Student,
◆ Answer -
3.8×10⁻⁶ + 4.2×10⁻⁵ = 4.6×10⁻⁵
● Explanation -
Given are two numbers -
3.8 × 10⁻⁶ => 2 significant figures
4.2 × 10⁻⁵ => 2 significant figures
Therefore, answer should also be in 2 significant figures.
Now, addition will take place as -
3.8×10⁻⁶ + 4.2×10⁻⁵ = 0.38×10⁻⁵ + 4.2×10⁻⁵
3.8×10⁻⁶ + 4.2×10⁻⁵ = 4.58×10⁻⁵
But we need answer in 2 significant figures. So rounding it off,
3.8×10⁻⁶ + 4.2×10⁻⁵ = 4.6×10⁻⁵
Hope this helps you...
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