Divide the following two numbers and report your answer to the correct number of significant figures:

0.530
𝑔
÷
0.1010
𝑐
𝑚
3

=

Question

Divide the following two numbers and report your answer to the correct number of significant figures:

0.530
𝑔
÷
0.1010
𝑐
𝑚
3
 
=

BlackTom AI · Accepted Answer

When dividing two numbers and reporting to the correct number of significant figures, the rule is to base the precision on the operand with the fewest significant figures.

Option 1: 5.25 g/cm3
- The computed quotient is approximately 5.2475... Since the numerator 0.530 has 3 significant figures and the denominator 0.1010 has 4 significant figures, the result should be expressed with 3 significant figures. 5.2475 rounds to 5.25 when limited to 3 sig figs. This option correctly reflects the proper rounding and unit.

Option 2: 5.2 g/cm3
- This has only 2 significant figures. It would be appropriate if we needed only 2 sig figs, but we must use the fewest sig figs from the operands, which is 3, so this is under-precise for this calculation.

Option 3: 5.248 g/cm3
- This value has 4 significant figures. Since we are restricted to 3 sig figs, this overstates the precision and is not allowed for this operation.

Option 4: 5.2475 g/cm3
- This has 5 significant figures. It corresponds to the full unrounded quotient, but it exceeds the required 3 sig figs dictated by the operands and should be rounded to 3 sig figs instead.

In summary, the correct approach is to round the exact quotient to the least number of significant figures among the inputs, which is 3, yielding 5.25 g/cm3, while the other options either under- or over-represent the precision.

SPHY001 Graded Quiz 1 (Unit 1 and Unit 2)- Requires Respondus LockDown Browser

Divide the following two numbers and report your answer to the correct number of significant figures: 0.530 𝑔 ÷ 0.1010 𝑐 𝑚 3 =

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