Which quotient matches the description for 525÷25 using partial quotients? Step1: Subtract (10×25) from 525 to get 275. Step 2: Subtract (10×25) from 275 to get 25. Step 3: Subtract (1×25) from 25 to get 0. Step 4: Add the partial quotients. (1 point) Responses 11 11 21 21 25 25 30 30 Skip to navigation

1 answer

To solve the division problem 525 ÷ 25 using the method of partial quotients as described:

  1. Start with the original number: 525
  2. Subtract \(10 \times 25\) from 525:
    • \(525 - 250 = 275\)
  3. Subtract \(10 \times 25\) from 275:
    • \(275 - 250 = 25\)
  4. Subtract \(1 \times 25\) from 25:
    • \(25 - 25 = 0\)

Now, you need to add the partial quotients that were used in each step:

  • From step 1: 10
  • From step 2: 10
  • From step 3: 1

Now add them: \[ 10 + 10 + 1 = 21 \]

So, the quotient for \(525 \div 25\) using partial quotients is 21.

Therefore, the correct response is 21.