Round to the Nearest Hundredth Calculator
Round any decimal — positive or negative — to the nearest hundredth (two decimal places). The calculator names the thousandths digit that made the call and also shows the nearest tenth and whole number.
Example: with Number to round 3.14159 → Rounded to the nearest hundredth: 3.14.
- The deciding digitThe thousandths digit is 1 — less than 5, so the hundredths digit stays, giving 3.14.
- To the nearest tenth3.1
- To the nearest whole number3
Computed by the calculator below using its default values. Change any input to see your own numbers.
The hundredths place is the second digit after the decimal point. Look one digit further (thousandths): 0-4 keeps the hundredths digit, 5-9 bumps it — ties away from zero.
Two decimals, one deciding digit
The hundredths place is the second digit right of the decimal point — in 3.14159, that is the 4. To round there, read the very next digit, the thousandths: a 0-4 leaves the hundredths digit alone, a 5-9 pushes it up one. In 3.14159 the thousandths digit is 1, so everything after the 4 simply drops: 3.14. Digits beyond the thousandths never influence the outcome.
Carries ripple leftward when the hundredths digit is already 9: 0.996 rounds to 1.00, not 0.99 or 0.100. And a result like 1.00 should keep its trailing zeros — they announce that the value is precise to the hundredth, which is exactly what was asked.
Why calculators disagree on 2.675
Ask software to round 2.675 to two decimals and you may get 2.67, because computers store decimals in binary and 2.675 actually sits at 2.67499999999999982…, a hair below the tie. By the written rule, 2.675 is exactly halfway and rounds up to 2.68. This calculator corrects for that floating-point drift before applying the rule, so it answers the way the math textbook — and your grader — expects.
How it’s calculated
Rounded value = sign(x) × round(|x| × 100) / 100, with the product pre-corrected to 6 decimal places to neutralize binary floating-point error (so 2.675 → 267.5 → 268 → 2.68). Ties (thousandths digit 5 with nothing after) round away from zero. The tenth and whole-number rows use the same rule with factors 10 and 1.
Round-half-away-from-zero convention, applied once to the original number — banker's rounding (half to even) would send 2.675 to 2.68 as well but 2.665 to 2.66 instead of 2.67.
Worked examples
| Input | Thousandths digit | Nearest hundredth |
|---|---|---|
| 3.14159 | 1 | 3.14 |
| 2.675 | 5 (tie) | 2.68 |
| 0.996 | 6 | 1.00 |
| 12.005 | 5 (tie) | 12.01 |
| −5.4321 | 2 | −5.43 |
Computed with round(x × 100) / 100 after floating-point correction, ties away from zero.
Common mistakes
- Reading the wrong place: the hundredths digit is the second decimal, not the hundreds digit of a whole number.
- Letting digits beyond the thousandths sway the call — 4.3649 rounds to 4.36 (thousandths digit 4), even though 49 follows it.
- Dropping trailing zeros: 0.996 to the nearest hundredth is 1.00, and writing it as 1 hides the stated precision.
- Trusting raw spreadsheet rounding on ties like 2.675 — binary storage can nudge it to 2.67; verify ties by hand or with a tool that corrects for float error.
Frequently asked questions
What is the rule for rounding to the nearest hundredth?
Keep two decimal places. Look at the third decimal (thousandths): 0-4, keep the second decimal as is; 5-9, raise it by one. Formally: round(x × 100) / 100. So 3.14159 → 3.14 and 2.678 → 2.68.
What is 2.675 rounded to the nearest hundredth?
2.68. The thousandths digit is exactly 5, and ties round up (away from zero). Some software shows 2.67 due to binary floating-point storage — the schoolbook answer is 2.68.
Is the nearest hundredth the same as the nearest cent?
Numerically yes — a cent is a hundredth of a dollar, so both round to two decimal places. $4.567 → $4.57 uses exactly this rule.
How do negative numbers round?
Round the absolute value and keep the sign: −5.4321 → −5.43, and the tie −2.005 → −2.01 (away from zero) under this convention.
What does 0.996 round to?
1.00. The thousandths digit 6 bumps the hundredths 9 to 10, which carries: 0.99 + 0.01 = 1.00. Keep both zeros to show two-decimal precision.