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use the references to access important values if needed for this questi…

Question

use the references to access important values if needed for this question. write each of the following numbers to 3 significant figures in exponential or scientific notation. write each number with only one non - zero digit before the decimal point. 7670 0.000571 0.000844 168000 submit answer retry entire group 9 more group attempts remaining

Explanation:

Response
For 7670:

Step1: Identify significant figures

The number is 7670. The first three significant figures are 7, 6, 7.

Step2: Convert to scientific notation

We move the decimal point 3 places to the left to get \(7.67\times10^{3}\) (since \(7670 = 7.67\times1000=7.67\times 10^{3}\)).

For 0.000571:

Step1: Identify significant figures

The number is 0.000571. The first three significant figures are 5, 7, 1.

Step2: Convert to scientific notation

We move the decimal point 4 places to the right to get \(5.71\times10^{-4}\) (since \(0.000571=\frac{5.71}{10000} = 5.71\times10^{-4}\)).

For 0.000844:

Step1: Identify significant figures

The number is 0.000844. The first three significant figures are 8, 4, 4.

Step2: Convert to scientific notation

We move the decimal point 4 places to the right to get \(8.44\times10^{-4}\) (since \(0.000844=\frac{8.44}{10000}=8.44\times 10^{-4}\)).

For 168000:

Answer:

s:

  • \(7670 = \boldsymbol{7.67\times10^{3}}\)
  • \(0.000571=\boldsymbol{5.71\times10^{-4}}\)
  • \(0.000844=\boldsymbol{8.44\times10^{-4}}\)
  • \(168000=\boldsymbol{1.68\times10^{5}}\)