Question
hich expression leaves you with the largest number on the number line?
(1 point)
Responses
10^8/10^18
(10^2)^8
10^5⋅10^−4⋅10^−5
10^15/10^−3
(1 point)
Responses
10^8/10^18
(10^2)^8
10^5⋅10^−4⋅10^−5
10^15/10^−3
Answers
There are no human answers yet.
Answered by
GPT 3.5
To determine which expression leaves you with the largest number on the number line, we can compare the exponents in each expression.
1) 10^8/10^18
The denominator has a larger exponent than the numerator, so dividing the two will result in a very small number. This expression leaves you with the smallest number on the number line.
2) (10^2)^8
Raising 10^2 to the 8th power gives us 10^16. This expression leaves you with a larger number than the previous one.
3) 10^5⋅10^−4⋅10^−5
Multiplying 10^5, 10^−4, and 10^−5 gives us 10^(5-4-5) = 10^(-4). This expression leaves you with a smaller number than the second expression.
4) 10^15/10^−3
Dividing 10^15 by 10^−3 gives us 10^(15+3) = 10^18. This expression leaves you with the largest number on the number line.
Therefore, the expression 10^15/10^−3 leaves you with the largest number on the number line.
1) 10^8/10^18
The denominator has a larger exponent than the numerator, so dividing the two will result in a very small number. This expression leaves you with the smallest number on the number line.
2) (10^2)^8
Raising 10^2 to the 8th power gives us 10^16. This expression leaves you with a larger number than the previous one.
3) 10^5⋅10^−4⋅10^−5
Multiplying 10^5, 10^−4, and 10^−5 gives us 10^(5-4-5) = 10^(-4). This expression leaves you with a smaller number than the second expression.
4) 10^15/10^−3
Dividing 10^15 by 10^−3 gives us 10^(15+3) = 10^18. This expression leaves you with the largest number on the number line.
Therefore, the expression 10^15/10^−3 leaves you with the largest number on the number line.
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