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Measuring Up New York State Practice Test 2
39
Sara says that the quotient of a four-digit number and a two-digit number is always a
digit number, because 1 ten X 1 hundred = 1 thousand. Provide two examples to show
Sara is not correct.
Bunlain how you found your answer.​

Respuesta :

Edufirst

Answer:

      [tex]1\times 10^3\div 50 =1,000\div 50=20[/tex]

      [tex]1\times 10^3\div 20 =1,000\div 20=50[/tex]

Explanation:

Let's recreate what Sara might have done:

  • A four-digit number: 1,000 = 1 × 10³
  • A two-digit number: 10
  • Quotient (division):

                                           

        [tex]1\times 10^3\div 10=10^2=100[/tex]

Then, the quotient is a three-digit number.

Is this enough evidence to assert that the quotient of a four-digit number and a two-digit number is alwasys a three-digit number?

No, it is not.

Here, two examples to show that is not correct:

      [tex]1\times 10^3\div 50 =1,000\div 50=20[/tex]

      [tex]1\times 10^3\div 20 =1,000\div 20=50[/tex]

  • Both 20 and 50 are two-digit numbers.

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