Question

Daya use modeling to find 2. 82÷3 she regrouped 2 as 2 and regrouped 0.8 as 0.7 + 10 divided all of the tenths and hundredths into three equal groups. Each group has 0.9 and 4 she decided that 2. 82÷3 = 0.94 which of the following is the correct conclusion about die is quotient of 0.94?

Answer 1

The student's conclusion of a quotient of 0.94 for 2.82 ÷ 3 is incorrect. Correctly dividing a number by powers of 10 involves shifting the decimal point to the left, which can be applied to understand division and significant figures.

Step-by-step explanation:

The student is attempting to calculate 2.82 ÷ 3 using a modeling approach and proposes a quotient of 0.94. However, this conclusion is incorrect. To divide a number by powers of 10, we shift the decimal point to the left for each power of 10. This concept is important for understanding division and significant figures, which are key in accurately reporting calculated results. If we take 1.9436 and divide it by powers of 10, we shift the decimal left by the number of zeros in the power of 10:

• 1.9436 ÷ 10 = 0.19436
• 1.9436 ÷ 100 = 0.019436
• 1.9436 ÷ 1000 = 0.0019436

This is similar to the division process Daya is attempting with 2.82 ÷ 3 but introduces the correct concept of shifting the decimal point for division with powers of 10.