What is 1000 Divided by 3?
1000 divided by 3 is a simple division problem that can be solved using basic arithmetic.
Here's how to calculate it:
- Long Division: You can use long division to find the answer.
- Set up the problem: Write 1000 as the dividend and 3 as the divisor.
- Divide: 3 goes into 10 three times (3 x 3 = 9). Write 3 above the 0 in 1000.
- Subtract: 10 - 9 = 1. Bring down the next digit, 0.
- Repeat: 3 goes into 10 three times (3 x 3 = 9). Write 3 next to the 3 above the 1000.
- Subtract: 10 - 9 = 1. Bring down the last digit, 0.
- Repeat: 3 goes into 10 three times (3 x 3 = 9). Write 3 next to the 3 above the 1000.
- Subtract: 10 - 9 = 1. You have a remainder of 1.
The answer is 333 with a remainder of 1.
Here's how to express it in other ways:
- Decimal: 1000 / 3 = 333.3333... (the 3s repeat infinitely)
- Fraction: 1000 / 3 = 333 1/3
Why is this helpful?
Understanding how to divide numbers is a fundamental skill in math. It helps us solve problems in various areas, like:
- Sharing: If you have 1000 cookies and want to share them equally with 3 friends, each person would get 333 cookies with one cookie left over.
- Measurement: If you need to measure a distance of 1000 meters and your measuring tape is only 3 meters long, you'll need to use it 333 times with a remainder of 1 meter.
- Calculations: Division is used in various complex calculations in science, engineering, and other fields.
Tips for Dividing by 3:
- Divisibility Rule: A number is divisible by 3 if the sum of its digits is divisible by 3. In this case, 1 + 0 + 0 + 0 = 1, which is not divisible by 3, so 1000 is not divisible by 3.
- Estimation: If you don't have a calculator, you can estimate the answer by rounding 1000 to 1002 (which is divisible by 3) and then dividing 1002 by 3, which gives you 334. You know the actual answer will be slightly less than 334.
Conclusion:
Understanding how to solve division problems like 1000 divided by 3 is essential for basic math skills. Whether you use long division, decimals, or fractions, the answer will always be the same: 333 with a remainder of 1.