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Give the correct number of significant figures to the problem below.4.5 x 1014 / 8.3 x 108 =5.4 x 10215.4 x 10225.4 x 1065.4 x 10145.4 x 105

Question

Give the correct number of significant figures to the problem below.

4.5×10148.3×108=? \frac{4.5 \times 10^{14}}{8.3 \times 10^{8}} = ?

  1. 5.4×102 5.4 \times 10^{2}
  2. 15.4×102 15.4 \times 10^{2}
  3. 25.4×106 25.4 \times 10^{6}
  4. 5.4×1014 5.4 \times 10^{14}
  5. 5.4×105 5.4 \times 10^{5}
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Solution

The correct answer is 5.4 x 10^5.

Here's the step-by-step process:

  1. First, you need to understand the rule of significant figures in multiplication and division. The result should have the same number of significant figures as in the number with the least significant figures. In this case, both 4.5 x 10^14 and 8.3 x 10^8 have two significant figures.

  2. Perform the division: (4.5 x 10^14) / (8.3 x 10^8) = 5.42168675 x 10^5.

  3. Round the result to two significant figures, which gives us 5.4 x 10^5.

So, the correct answer is 5.4 x 10^5.

This problem has been solved

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Give the correct number of significant figures to the problem below.4.5 x 1014 / 8.3 x 108 =5.4 x 10215.4 x 10225.4 x 1065.4 x 10145.4 x 105

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