Question

Which expression leaves you with the largest number on the number line?



(1 point)
Responses

105⋅10−4⋅10−5
10
5
⋅
10
−
4
⋅
10
−
5

10 to the 5th power times 10 to the negative 4 power times 10 to the negative 5 power

1081018
10
8
10
18

the fraction with numerator 10 to the 8th power and denominator 10 to the 18th power

(102)8
(
10
2
)
8

open paren 10 squared close paren to the 8th power

101510−3
10
15
10
−
3

the fraction with numerator 10 to the 15th power and denominator 10 to the negative 3 power
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Answer 1

Simplify each:

- 10^5 · 10^(−4) · 10^(−5) = 10^(5−4−5) = 10^(−4)
- (10^8)/(10^18) = 10^(8−18) = 10^(−10)
- (10^2)^8 = 10^(2·8) = 10^16
- (10^15)/(10^(−3)) = 10^(15−(−3)) = 10^18

10^18 is the largest, so the fraction with numerator 10^15 and denominator 10^(−3) is the biggest.