In: Chemistry
You are given four values (1.073, 4.153, 1.08, and 4.6) and asked to conduct calculations on them. You perform a series of mathematical operations using the values and make a table that includes the calculated value as displayed on your calculator:
Mathematical operation | Value displayed by calculator |
1.073+4.153+1.08+4.6 | 10.9060 |
1.073×1.08 | 1.15884 |
4.153−1.08 | 3.07300 |
4.153/31.0341 | 0.133821 |
4.6/31.0341 | 0.148224 |
Round each of the values displayed by the calculator to the correct number of significant figures, and place the value in the bin that correctly indicates the number of significant digits you rounded to.
Drag the appropriate items to their respective bins.
10.9060 1.15884 3.07300 0.133821 0.148224 1 significant figure 2 significant figures 3 significant figures 4 significant figures |
1)
1.073+4.153+1.08+4.6
Value displayed = 10.9060
In addition and subtraction, the number of digits after decimal is least of the operand
So, result should be truncated to one digit after decimal
So, answer should be 10.9
It has 3 significant figure
Answer:
10.9 , 3 significant figure
2)
1.073×1.08
value displayed = 1.15884
In multiplication/division, the number of significant figure is least of the operand
So, result will be 1.16
Answer:
1.16 , 3 significant figure
3)
4.153−1.08
3.07300
This is similar to number 1
Answer:
3.07, 3 significant figure
4)
4.153/31.0341
0.133821
Answer: 0.1338 and 4 significant figure
5)
4.6/31.0341
0.148224
Answer: 0.15 and 2 significant figure