Perform each calculation to the correct number of significant figures.

(a) 87.6 + 9.888 + 2.3 + 10.77

(b) 43.7 − 2.341

(c) 89.6 + 98.33 − 4.674

(d) 6.99 − 5.772

Solution 61P

Here we have to calculate the correct number of significant figures. There are certain rules to track the significant figures from the calculated values. These are:

For addition and subtraction, the result should contain same number of decimal places, as the measurement is carried out with the fewest decimal places.For multiplication and division, the result should contain same number of decimal places, as the measurement is carried out with the fewest significant figures.(a) 87.6 + 9.888 + 2.3 + 10.77

Here, addition operation is carried out

= 110.558

= 110.6

Thus, (a) have four significant figures. Because 2.3 has the fewest ( one) decimal place. Thus correct number of significant figures of (a) is 110.6

(b) 43.7 − 2.341

Here, subtraction operation is carried out

= 41.359

= 41.4

(rounding off to three significant figures as it contains 43.7 which have only one decimal...