Question

The number 56 can be written as 2to the power of m x n, where m and n are prime numbers.

Answer 1

9514 1404 393

Answer:

  4. m = 3, n = 7

  5. a) 2.0272; b) 72.4; c) 372

Step-by-step explanation:

4. 56 = 8×7 = 2^3 × 7

Comparing to 2^m × n, we see that m=3, n=7.

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5. It's all about scale factors. One way to work this problem is to write all of the numbers in terms of the numbers of the original "given."

a) 0.724 × 2.8 = (724×10^-3) × (28×10^-1) = 20272×10^-4

  0.724 × 2.8 = 2.0272

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b) 202.72 ÷ 2.8 = (20272×10^-2) ÷ (28×10^-1) = 724×10^(-2-(-1)) = 72.4

  202.72 ÷ 2.8 = 72.4

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c) 20272 ÷ 56 = (20272 ÷ 28) ÷ 2 = 724 ÷ 2 = 362

  20272 ÷ 56 = 372