Perform the following operations, expressing your answer in the correct number of significant digits or decimal places. (Do not assume that quantities are measured.)
9.75 m x 8.365 m = _______
1275 m2 ÷ 54 m = _______
17.25 mL + 38.5 mL + 25 mL = _______
95.35 g – 73.5 g = _______
0.85 cm x 1.25 cm x 2.50 cm = _______
180 cm3 ÷ 25.0 cm = _______
742 km – 250.5 km = _______
9.328 x 103 km2 ÷ 1.4267 x 10 2 km = _______
What is the average of 9.95 mL, 10.15 mL, 10.10 mL and 10.05 mL? _______
What is the volume of a box of dimensions 1.25 m x 0.750 m x 0.50 m?______
I don't understand your problem. Remember the two rules you need.
When multiplying you are allowed an answer with the smallest number of significant figures in any of the values multiplied.
When adding or subtracting you are allowed in the answer the smallest number of figures to the right of the decimal. For example:
9.75 m x 8.365 m = 81.55875 m^2. You have 3 s.f. in 9.75 and 4 s.f. in 8.365. You are allowed the smaller so round the answer to 81.6. My rationale is 81.55875 rounds to 81.56. Since 6 is greater than 5 I round that to 81.6 m^2. This example for addition:
17.25 mL + 38.5 mL + 25 mL = ?
17.25
+38.5
+25.
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80.75 You have 2 places to the right of the decimal in the first number, one for the second value and zero for the third; therefore, you are allowed zero digits after the decimal in the answer so the answer is 81.
I don't understand your problem. Remember the two rules you need.
When multiplying you are allowed an answer with the smallest number of significant figures in any of the values multiplied.
When adding or subtracting you are allowed in the answer the smallest number of figures to the right of the decimal. For example:
9.75 m x 8.365 m = 81.55875 m^2. You have 3 s.f. in 9.75 and 4 s.f. in 8.365. You are allowed the smaller so round the answer to 81.6. My rationale is 81.55875 rounds to 81.56. Since 6 is greater than 5 I round that to 81.6 m^2. This example for addition:
17.25 mL + 38.5 mL + 25 mL = ?
17.25
+38.5
+25.
--------------
80.75 You have 2 places to the right of the decimal in the first number, one for the second value and zero for the third; therefore, you are allowed zero digits after the decimal in the answer so the answer is 81.
What is the volume of a box of dimensions 1.25 m x 0.750 m x 0.50 m? So1.25 x 0.750 x 0.50 = 0.46875 m^3. You have 3 s.f. in 1.25, you have 3 in 0.750 and you have 2 in 0.50; therefore in the answer you may have 2 s.f. so we round that provisional answer to 0.47 m^3.___