Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
962.3 m ÷ 57.8 s = (\frac{m}{s})
20.94 (\frac{g}{ml}) × 32. ml = g
656.56 m ÷ 0.56 s = (\frac{m}{s})

Explanation:

Step1: Calculate 962.3 m ÷ 57.8 s

When dividing, the result should have the same number of significant digits as the measurement with the fewest significant digits in the values being divided. 57.8 has 3 significant - digits. $962.3\div57.8=\frac{962.3}{57.8}\approx16.7$ m/s.

Step2: Calculate 20.94 g/mL × 32. mL

20.94 has 4 significant digits and 32. has 2 significant digits. When multiplying, the result should have 2 significant digits. $20.94\times32. = 20.94\times32=670.08\approx670$ g.

Step3: Calculate 656.56 m ÷ 0.56 s

0.56 has 2 significant digits. $656.56\div0.56=\frac{656.56}{0.56}\approx1172.4286\approx1200$ m/s (rounded to 2 significant digits).

Answer:

1. 16.7 m/s
2. 670 g
3. 1200 m/s