Diya used modeling to find 2.82÷3 . She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that 2.82÷3=0.94 . Which of the following is the correct conclusion about Diya's quotient of 0.94? (1 point) Responses The quotient is incorrect because each of the three groups should have 4 tenths and 7 hundredths. The correct quotient is 0.47. The quotient is incorrect because each of the three groups should have 4 tenths and 7 hundredths. The correct quotient is 0.47. The quotient is incorrect because each of the three groups should have 7 tenths and 6 hundredths. The correct quotient is 0.76. The quotient is incorrect because each of the three groups should have 7 tenths and 6 hundredths. The correct quotient is 0.76. The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04. The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04. The quotient is correct because 28 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04. The quotient is correct because 28 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04. Skip to navigation

Answer 1

To evaluate Diya's conclusion and find the correct answer, let's recap and verify the operations.

Diya regrouped 2.82 as follows:

• 2 became 20 tenths (which is correct)
• 0.8 was regrouped as 7 tenths (this is incorrect) and 10 hundredths (which is correct).

So, let's examine this more clearly:

• 0.8 actually represents 8 tenths, not 7 tenths and 10 hundredths.

If we combine the tenths and hundredths correctly:

• 2.82 can be represented as:
  • 20 tenths (from 2)
  • 8 tenths (from 0.8, not 7)
  • 2 hundredths (from 0.02, not 10 hundredths)

Thus:

• Total tenths = 20 tenths + 8 tenths = 28 tenths
• Total hundredths = 0 (after including 0.02 as part of 28 tenths)

Now, if we divide:

• 28 tenths divided by 3 = 9 tenths with a remainder of 1 (which corresponds to 0.9)
• 2 hundredths divided by 3 = approximately 0.67 hundredths (which corresponds to about 0.02 with decimal representation).

Hence, the total division gives us:

• 9 tenths + about 0.02 hundredths = 0.94 approximately, which is what she concluded.

Therefore, the conclusion about Diya's quotient of 0.94 is that it is correct, specifically because 28 tenths divided by 3 is indeed 9 tenths, and the remaining hundredths would add that extra 0.04.

The most appropriate response from your provided options would be: The quotient is correct because 28 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.