Question

you are given a series of mathematical operations to perform and make a table including the calculated values as displayed on your calculator:

mathematical operation	value displayed by calculator
1.023g × 1.09g	1.11507 g²
4.156g - 1.00g	3.00000 g
4.156g/31.0341	0.133917 g
4.6g/31.0341	0.148224 g

sort the values displayed by the calculator according to the number of significant figures they should contain after you conduct the appropriate rounding of the values.
drag the appropriate items to their respective bins.
view available hint(s)
round to 1 significant figure
round to 2 significant figures
round to 3 significant figures
round to 4 significant figures
0.133917
3.00000
10.8690
0.148224
1.11507

Explanation:

Step1: Recall significant - figures rules

For addition and subtraction, the result is rounded to the same number of decimal places as the number with the fewest decimal places. For multiplication and division, the result is rounded to the same number of significant figures as the number with the fewest significant figures.

Step2: Analyze 0.133917

The number with the fewest significant figures in the division that produced it (4.156g/31.0341) has 4 significant figures. Rounding 0.133917 to 2 significant figures gives 0.13.

Step3: Analyze 3.06000

In the subtraction 4.156g - 1.09g, the number with the fewest decimal places is 1.09 (2 decimal places). After subtraction, the result should be rounded to 2 decimal places. Rounding 3.06000 to 3 significant figures gives 3.06.

Step4: Analyze 10.8690

In the addition 1.023g+4.156g + 1.00g+4.6g, the number with the fewest decimal places is 4.6 (1 decimal place). Rounding 10.8690 to 3 significant figures gives 10.9.

Step5: Analyze 0.148224

In the division 4.6g/31.0341, the number 4.6 has 2 significant figures. Rounding 0.148224 to 2 significant figures gives 0.15.

Step6: Analyze 1.11507

In the multiplication 1.023g×1.09g, the number 1.09 has 3 significant figures. Rounding 1.11507 to 3 significant figures gives 1.12.

Answer:

• Round to 1 significant figure: None of the given values match when rounded to 1 significant - figure.
• Round to 2 significant figures: 0.13 (from 0.133917), 0.15 (from 0.148224)
• Round to 3 significant figures: 3.06 (from 3.06000), 10.9 (from 10.8690), 1.12 (from 1.11507)
• Round to 4 significant figures: None of the given values match when rounded to 4 significant - figure.