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
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.