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bakfed
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58

Please explain.
multiplying these we get,
81 x 10^7 x 10^8
= 8.1 x 10^16
which is closer to 10^17
hence it will be B
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bakfed
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58


\((9*10^7)(9*10^8)\)
= \((81*10^{15})\)
= \((8.1*10^{16})\)

So the closest value = \(10^{17}\)
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bakfed
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58

We can simplify the given expression.

(9 x 10^7)(9 x 10^8) = 9^2 x 10^15

We can immediately eliminate answer choices C, D, and E since powers of 10 in the order of 56, 57, or 58 is nowhere near the order of 15. We only need to decide between answer choices A and B. We note that 9^2 = 81 is closer to 100 than to 10; therefore, of the provided answer choices, 9^2 x 10^15 is closest to 10^17.

Answer: B
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bakfed
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58

(9x10^7)(9x10^8)

~ (10x10^7) (10x10^8)

= 10^8*10^9

= 10^17, Answer must be (B)
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bakfed
The value of (9x10^7)(9x10^8) is closest to which of the following?

A. 10^16
B. 10^17
C. 10^56
D. 10^57
E. 10^58

\(9*10^7*9*10^8\)

\(=81*10^15\)

\(=10^2*10^15\)

\(=10^17\)

The answer is B
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