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How many times smaller is 2 × 10 to the negative 8th power than 4 × 10 to the negative 7 power?
A. 20
B. 200
C. 0.2
D. 2,000


Sagot :

Answer:

  • A. 20

Step-by-step explanation:

How many times smaller is 2 × 10⁻⁸  than 4 × 10⁻⁷ ?

Rewrite the numbers with the same power of 10:

  • 2 × 10⁻⁸ and 40 × 10⁻⁸

Divide the second number by the first, cancel the powers as they are same:

  • 40/2 = 20

Correct option is A

The values are

  • 2×10-⁸ and 4×01^{-7}

Divide to find how many times smaller

  • 4/2×10^{-7+8}
  • 2(10)
  • 20times