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To best estimate the quotient in scientific notation, what number should replace m?

StartFraction 6.33 times 10 Superscript 9 Baseline Over 1.79 times 10 Superscript 5 Baseline EndFraction almost-equals 3 times 10 Superscript m

2 Answers

0 votes

Answer:

4 :)

Explanation:

User TomoJ
by
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3 votes

Answer:

m=4

Explanation:

6.33 × 10^9 / 1.79 × 10^5=3.54 × 10^m

Find m

6.33 × 10^9 / 1.79 × 10^5 =3.54 × 10^m

Divide the multipliers

6.33/1.79

=3.54

Divide the other multipliers

10^9/10^5

Division in scientific notation with superscript with the SAME base requires subtraction of the superscript using one of the bases

10^9/10^5

= 10^9-5

=10^4

Therefore,

6.33 × 10^9 / 1.79 × 10^5 = 3.54 × 10^4

m = 4

User SeanOC
by
7.4k points