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Question 80

Which transformations preserve the original quotient? Select all that apply.

  1. 7.5 ÷ 0.3 becomes 75 ÷ 3Correct answer
  2. 4.2 ÷ 0.07 becomes 420 ÷ 7Correct answer
  3. 0.64 ÷ 0.8 becomes 6.4 ÷ 8Correct answer
  4. 3.6 ÷ 0.9 becomes 0.36 ÷ 9

Explanation

The equal scalings 7.5 ÷ 0.3 to 75 ÷ 3, 4.2 ÷ 0.07 to 420 ÷ 7, and 0.64 ÷ 0.8 to 6.4 ÷ 8 all preserve their quotients. Changing 3.6 ÷ 0.9 to 0.36 ÷ 9 scales the dividend down and the divisor up, so it changes the quotient by a factor of one hundred.

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Question 80: Which transformations preserve the original quotient?… · Decimals and Place Value · Questena