Question

10

Select all correct combinations of partial quotients that can be used to find 84 ÷ 4.
20,1
10, 10, 1
10, 5, 5, 1
O20, 4
20, 10, 1

Answer 1

To find 84 ÷ 4 using partial quotients, divide the dividend (84) by the divisor (4) using potential partial quotients. The correct combinations of partial quotients are 10, 10, 1; 10, 5, 5, 1; 20, 1; and 20, 10, 1.

Step-by-step explanation:

To find 84 ÷ 4 using partial quotients, we divide the dividend (84) by the divisor (4) using potential partial quotients.

1. Start with the dividend (84) and divide it by the divisor (4) as many times as possible to get a whole number. In this case, 4 goes into 84, 10 times. So, the first partial quotient is 10.
2. Multiply the divisor (4) by the first partial quotient (10) which equals 40.
3. Subtract the product (40) from the dividend (84) to get the remainder which is 44.
4. Repeat the process by dividing the remainder (44) by the divisor (4) to get the next partial quotient. In this case, 4 goes into 44, 11 times. So, the next partial quotient is 11.
5. Multiply the divisor (4) by the second partial quotient (11) which equals 44.
6. Subtract the product (44) from the previous remainder (44) to get the new remainder which is 0.

The correct combinations of partial quotients that can be used to find 84 ÷ 4 are: 10, 10, 1; 10, 5, 5, 1; 20, 1; and 20, 10, 1.

Answer 2

The combinations of partial quotients that can be used to find the quotient of 84÷4 are given as follows:

• 10,10,1
• 20,1

What is the partial quotient method?

when a division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor. Each partial quotient is the number of groups of each term and the final quotient is the sum of the partial quotients.

The final quotient of 84÷4 as follows:

84÷4 =21

hence the sum of quotients is 21.

The possible combinations are only two.

• 20,10
• 10,10,1

The other combinations are incorrect.