Question

Solve the following equations using the partial quotients strategy.

1. 8,397 ÷ 27 = __________ 2. 9,396 ÷ 18 = __________ 3. 8,442 ÷ 14 = __________

Answer 1

To solve these equations using the partial quotients strategy, divide the first digit(s) of the dividend by the divisor to find the closest multiple without exceeding it. Repeat this process until the entire dividend is used up, then add up all the quotients obtained. The final quotient is the solution to the equation.

Step-by-step explanation:

To solve these equations using the partial quotients strategy, follow these steps:

1. Step 1: Divide the first digit(s) of the dividend by the divisor to find the closest multiple without exceeding it. Place this quotient on the top right.
2. Step 2: Multiply the quotient obtained in Step 1 by the divisor and subtract the result from the dividend. Write the result under the dividend.
3. Step 3: Repeat Steps 1 and 2 with the new dividend until the entire dividend is used up.
4. Step 4: Add up all the quotients obtained in Step 1. This is the final quotient.

Applying the partial quotients strategy to the given equations:

1. 8,397 ÷ 27:
   
   The final quotient is 311.
2. 9,396 ÷ 18:
   
   The final quotient is 522.
3. 8,442 ÷ 14:
   
   The final quotient is 603.