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Answer :
We start by writing the number as a product of a decimal number between 1 and 10 (the mantissa) and a power of 10.
1. Write the number 69,000,000,000 as a decimal with one digit to the left of the decimal point. Moving the decimal point 10 places to the left, we obtain
[tex]$$6.9 \times 10^{10}.$$[/tex]
2. Notice that in the original number, only the digits 6 and 9 are significant. Therefore, the mantissa must have two significant figures, which is why [tex]$6.9$[/tex] is used.
Thus, the expression in scientific notation with the proper number of significant figures is
[tex]$$6.9 \times 10^{10}.$$[/tex]
1. Write the number 69,000,000,000 as a decimal with one digit to the left of the decimal point. Moving the decimal point 10 places to the left, we obtain
[tex]$$6.9 \times 10^{10}.$$[/tex]
2. Notice that in the original number, only the digits 6 and 9 are significant. Therefore, the mantissa must have two significant figures, which is why [tex]$6.9$[/tex] is used.
Thus, the expression in scientific notation with the proper number of significant figures is
[tex]$$6.9 \times 10^{10}.$$[/tex]
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