Express the results of the following calculations with thecorrect significant figures.(a) 3.1416 × 0.28/ 2.34(b) 123.62 + 7.1 − 5.33

(a) 3.1416 × 0.28/ 2.34

Step 1: Perform the multiplication operation first according to the order of operations (PEMDAS/BODMAS).

3.1416 × 0.28 = 0.879648

Step 2: Now, divide the result by 2.34.

0.879648 / 2.34 = 0.376

Step 3: The number with the least number of significant figures in the question is 0.28, which has two significant figures. Therefore, the answer should also have two significant figures.

So, 0.376 rounded to two significant figures is 0.38.

(b) 123.62 + 7.1 − 5.33

Step 1: Perform the addition and subtraction operations.

123.62 + 7.1 = 130.72 130.72 - 5.33 = 125.39

Step 2: The number with the least number of decimal places in the question is 7.1, which has one decimal place. Therefore, the answer should also have one decimal place.

So, 125.39 rounded to one decimal place is 125.4.