Divide the following by short division: 1600 divided by 4 810 divided by 9 164 divided by 4
The correct answer and explanation is:
Here are the correct answers using short division:
- 1600 ÷ 4 = 400
- 810 ÷ 9 = 90
- 164 ÷ 4 = 41
Explanation (Approx. 300 words)
Short division is a simplified form of long division, usually used when dividing by a single-digit number. It’s a mental or written method that breaks down the division process into easy steps. Here’s how each problem is solved:
1. 1600 ÷ 4
We divide each digit starting from the left:
- 4 into 1 doesn’t go, so we move to the next digit.
- 4 into 16 goes 4 times.
- Bring down the next zero: 4 into 0 is 0.
- Bring down the last zero: 4 into 0 is 0.
Answer: 400
2. 810 ÷ 9
- 9 into 8 doesn’t go, so we look at 81.
- 9 into 81 goes 9 times exactly.
- Bring down the 0: 9 into 0 is 0.
Answer: 90
3. 164 ÷ 4
- 4 into 1 doesn’t go.
- 4 into 16 goes 4 times.
- Bring down the 4: 4 into 4 goes 1 time.
Answer: 41
Why use short division?
Short division is efficient when the divisor is a single digit and the dividend is not too large. It reduces the need to write out each step in full like long division. The method trains the brain to recognize division patterns, improves number sense, and builds mental math skills.
It is especially helpful for students learning to divide quickly and accurately without a calculator. While long division is better for larger or more complex problems (especially those with two-digit divisors), short division remains a handy tool for simple division problems like the ones above.