Estimate each quotient

766÷8

$31.75÷8

To estimate the quotient, you can use rounding or compatible numbers method.

1. Rounding method:
To use the rounding method, round the dividend (the number being divided) to the nearest ten and then divide it by the divisor (the number you are dividing by).
For example:
For 766 ÷ 8, round 766 to 770 (which is the nearest ten), then divide 770 by 8.
The estimated quotient using rounding method is: 770 ÷ 8 = 96.25

2. Compatible numbers method:
To use the compatible numbers method, choose convenient numbers that are close to the given numbers and are easy to divide mentally.
For example:
For 766 ÷ 8, you can choose 800 (which is close to 766 and divisible by 8 without a remainder).
The estimated quotient using compatible numbers method is: 800 ÷ 8 = 100.

Therefore, the estimated quotient for 766 ÷ 8 is approximately 96.25 using rounding method and 100 using compatible numbers method.

Regarding $31.75 ÷ 8, we will use the same methods:

1. Rounding method:
Round $31.75 to the nearest ten, which is $30. Then divide $30 by 8.
The estimated quotient using rounding method is: $30 ÷ 8 = $3.75

2. Compatible numbers method:
Choose a compatible number close to $31.75. Let's choose $32, since it is divisible by 8 without a remainder.
The estimated quotient using compatible numbers method is: $32 ÷ 8 = $4.

Therefore, the estimated quotient for $31.75 ÷ 8 is approximately $3.75 using rounding method and $4 using compatible numbers method.

800/8 = ?

32/8 = ?