12.07 divided by 0.00897 giving the answer correct to 3 significant figures.
1345.59643
12.07÷0.00897
12.07÷0.00897 to 3s.f.
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547820275937.00494944994.04049400404.8485484389929t4893813018985984145634671
To divide 12.07 by 0.00897 and obtain the answer correct to 3 significant figures, follow these steps:
Step 1: Perform the division: 12.07 ÷ 0.00897 = 1346.436546436
Step 2: Determine the significant figures in the original numbers:
- The number 12.07 has 3 significant figures because it has a non-zero digit (1), a zero between non-zero digits (0), and a trailing zero after the decimal point (7).
- The number 0.00897 has 3 significant figures because it has non-zero digits (8, 9, 7).
Step 3: Round the answer to the desired significant figures.
- The third significant figure in the original number is 4 (12.07).
- Since the next digit after the third significant figure (4) is 3 (6), rounding is necessary.
The rule for rounding is as follows:
- If the digit after the desired significant figures is 0, 1, 2, 3, or 4, the last significant figure remains the same.
- If the digit after the desired significant figures is 5, 6, 7, 8, or 9, the last significant figure is increased by 1.
In this case, the digit after the third significant figure (4) is 3, so the last significant figure remains unchanged. Therefore, the final answer, correct to 3 significant figures, is 1346.