Question

Use place value reasoning and the first quotient to compute the second quotient. Use place value to

explain how you placed the decimal point. 65.6 ÷ 80 = 0.82
65.6 ÷ 8 = ____

Answer 1

By using place value reasoning, we can find that 65.6 ÷ 8 equals 8.2 by multiplying the first quotient, 0.82, by 10, moving the decimal point one place to the right.

Step-by-step explanation:

To compute the quotient 65.6 ÷ 8, we can use place value reasoning based on the quotient 65.6 ÷ 80 = 0.82. Dividing 65.6 by 80 gives us 0.82, and since 8 is ten times smaller than 80, dividing 65.6 by 8 should give us a result that is ten times larger than 0.82. Therefore, we simply need to move the decimal point one place to the right in 0.82 to get the answer.

By applying the properties of place value:

• 0.82 × 10 = 8.2

Thus, the second quotient is 8.2. We have moved the decimal point to the right by one place to account for the difference in one power of ten between the divisors 8 and 80.