Question

question 8 of 15
match each expression to the correct number of significant figures.
13.115 + 4.90255
1,200
3,000
200.12 - 4.9

Explanation:

Step1: Calculate \(13.115 + 4.90255\)

\(13.115+4.90255 = 18.01755\). The least number of decimal places in the addends is \(3\) (from \(13.115\)). So, \(18.018\) (rounded to \(3\) decimal places). Count significant figures: \(5\) (all non - zero digits and the zeros between non - zero digits are significant).

Step2: Analyze \(1200\)

If written as \(1200\) without a decimal, trailing zeros are ambiguous. But if we assume it's \(1.2\times10^{3}\) (scientific notation for \(2\) significant figures).

Step3: Analyze \(3000\)

If written as \(3000\) without a decimal, trailing zeros are ambiguous. If we assume it's \(3\times 10^{3}\) (scientific notation for \(1\) significant figure).

Step4: Calculate \(200.12−4.9\)

\(200.12 - 4.9=195.22\). The least number of decimal places in the minuend and subtrahend is \(1\) (from \(4.9\)). So, \(195.2\). Count significant figures: \(4\) (all non - zero digits are significant).

Answer:

\(13.115 + 4.90255\) matches \(5\); \(1200\) matches \(2\); \(3000\) matches \(1\); \(200.12 - 4.9\) matches \(4\)