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Calculate using sig figs: 83.25 - 0.1075 =

A) 83.1425
B) 83.1
C) 83.2
D) 83.15

1 Answer

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Final answer:

The correct calculation of 83.25 - 0.1075 considering significant figures is 83.14, which is not one of the provided answer options.

Step-by-step explanation:

When calculating the expression 83.25 - 0.1075, we must consider significant figures (or 'sig figs'). A significant figure is any non-zero digit or any zero between significant figures or to the right of both the decimal point and another significant figure. Because subtraction is involved, the answer should be rounded according to the least number of decimal places in any of the numbers being subtracted.

In this case, 83.25 has two decimal places while 0.1075 has four. After performing the calculation with a calculator we get 83.1425. However, we need to round this result to the least number of decimal places, which is two, as in the number 83.25. Hence, the answer to two decimal places is 83.14, because the third decimal digit is less than 5, which leads us to round down.

The correct answer is Not Listed, since the correct result, 83.14, is not among the options provided.

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