In your own words, describe how to estimate a product of a multiplication expression using compatible numbers. Use the example of 2.35 x 21.02 in your answer.

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Compatible number principle can be used in multiplication, addition, subtraction or division operation, it involves obtaining the estimate or approximate result of an arithmetic operation using numbers close to the actual value given, hence making the problem easier to solve.

Using the compatible numbers to solve the expression :

  • 2.35 × 21.02
  • Rounding each value to a close value which is easier to work on
  • 2.35 can be approximated to 2.50 and 21.02 can be approximated to 21
  • Hence, 2.50 × 21 = 52.50

Therefore, the estimated result of 2.35 × 21.02 using the principle of compatible number is 52.50

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