Estimation and Rounding
Have you ever tried to guess how many candies are in a jar? Or quickly figured out about how much money you need to buy a toy and a book? That's estimation! Estimation means finding a number close to the exact answer, quickly: we keep the large place values and drop the small ones.
Rounding is a special way to estimate numbers. When we round, we change a number to make it simpler but still close to the original number.
Why Do We Round Numbers?
- It makes numbers easier to work with
- It helps us make quick guesses when we don't need exact answers
- It's useful when shopping, measuring, or solving everyday problems
Rounding to the Nearest Ten
To round a number to the nearest ten, we follow these steps:
- Look at the ones digit (the last digit)
- If the ones digit is less than 5 (0, 1, 2, 3, or 4), round down to the previous ten
- If the ones digit is 5 or more (5, 6, 7, 8, or 9), round up to the next ten
For example:
- 42 rounds to 40 (because 2 is less than 5)
- 47 rounds to 50 (because 7 is 5 or more)
Rounding to the Nearest Hundred
To round a number to the nearest hundred, we follow similar steps:
- Look at the tens digit (second-to-last digit)
- If the tens digit is less than 5 (0, 1, 2, 3, or 4), round down to the previous hundred
- If the tens digit is 5 or more (5, 6, 7, 8, or 9), round up to the next hundred
For example:
- 342 rounds to 300 (because 4 is less than 5)
- 578 rounds to 600 (because 7 is 5 or more)
Rounding to the Nearest Thousand
For rounding to the nearest thousand:
- Look at the hundreds digit (third-from-last digit)