Sometimes we don't need an exact number — we just need a quick, easy-to-remember answer. About 50, about 300. That's what rounding is for.
What "rounding" means
When you round a number, you swap it for the nearest round number — a number that ends in 0 (or 00, or 000…). Round numbers are easier to talk about and easier to add in your head.
47 ≈ 50 (nearest ten)
312 ≈ 300 (nearest hundred)
Round to the nearest 10
To round to the nearest 10, look at the ones digit:
If the ones digit is 0, 1, 2, 3 or 4 — round down (drop it).
If the ones digit is 5, 6, 7, 8 or 9 — round up (add to the tens).
Examples:
Number
Ones digit
Goes which way?
Rounded to 10
32
2
down
30
47
7
up
50
85
5
up
90
199
9
up
200
Round to the nearest 100
To round to the nearest 100, look at the tens digit:
If the tens digit is 0, 1, 2, 3 or 4 — round down (the hundreds stay, tens and ones become 0).
If the tens digit is 5, 6, 7, 8 or 9 — round up (add one to the hundreds).
Examples:
Number
Tens digit
Goes which way?
Rounded to 100
312
1
down
300
184
8
up
200
650
5
up
700
949
4
down
900
The number-line picture
Imagine the number sitting on a line between two round numbers. Whichever round number is closer wins.
184 is closer to 200 than to 100.
312 is closer to 300 than to 400.
When the number is exactly halfway (the tens digit is 5 and the rest is 0), the rule says round up. So 650 rounds to 700, not 600.
Why we round
Quick mental math: 198 + 401 ≈ 200 + 400 = 600. Pretty close to the real answer (599).
Estimating costs: a sandwich for 4.79is"about5".
Talking about big numbers: "the school has about 300 children" is easier to remember than "297".