Rounded to the Nearest

Definitionnoun phrase

What does rounded to the nearest mean in math?

Rounded to the nearest tells you which place value to keep when you round an answer. Nearest tenth keeps one decimal place; nearest whole number keeps none. Look at the next digit to the right: 5 or more rounds up, 4 or less rounds down. So 3.14159 becomes 3.14 to the nearest hundredth.

In Spanish
redondeado a la más cercana (al décimo, entero…)
Also called
round to the nearest, to the nearest tenth, to the nearest whole number, nearest hundredth
Grade level
K-5
Grade 3Grade 4Grade 5Grade 7CCSS 3.NBT.A.1CCSS 5.NBT.A.4GEDSATACTASVABTEASTABEHiSET

Rounded to the Nearest in a picture

One number rounded to different placesThe number 2,746.381 rounded to the nearest hundred, ten, whole number, tenth and hundredth, with the deciding digit for each. A number line shows 2,746.381 is past halfway from 2,746.3 to 2,746.4.2,746.381 rounded to the nearest …nearest hundred2,700tens digit 4: round downnearest ten2,750ones digit 6: round upnearest whole number2,746tenths digit 3: round downnearest tenth2,746.4hundredths digit 8: round upnearest hundredth2,746.38thousandths digit 1: round down2,746.32,746.352,746.42,746.381past the halfway mark, so it rounds up to 2,746.4
The same number rounds differently depending on the place named. In each case, the one digit to the right of that place decides: 5 or more rounds up.

Formal definition and notation

To round a number x to the nearest unit u (such as 100, 1, 0.1 or 0.01) is to replace x with the multiple of u closest to it. When x is exactly halfway between two multiples, the usual school convention rounds up (to the multiple farther from zero for positive numbers). The result has no nonzero digits to the right of the place named by u.

Symbol Read it as Meaning
≈ is approximately equal to used after rounding: π ≈ 3.14

Key facts

  • Find the named place, then look only at the one digit just to its right.
  • Nearest cent means nearest hundredth of a dollar: 12.146 dollars becomes 12.15 dollars.
  • Round only the final answer. Rounding in the middle of a problem can change the last digit.
  • Keep trailing zeros the place asks for: 4.97 to the nearest tenth is 5.0, written with one decimal place.
  • Rounding gives an approximation, so write ≈ when you replace an exact value: √2 ≈ 1.41.

Rounding rule

Rounding rule
look at the next digit: 0 to 4 → down, 5 to 9 → up
nearest tenth
keep 1 decimal place; look at the hundredths digit
nearest hundredth
keep 2 decimal places (nearest cent); look at the thousandths digit
nearest whole number
keep no decimal places; look at the tenths digit

Rounding up can carry: 2.97 to the nearest tenth is 3.0, because 9 tenths plus 1 becomes 10 tenths.

Try it: find the place

Interactive

The tenths digit is highlighted. To round to the nearest tenth, look at the digit just to its right: here it is 8, so the 3 rounds up to 4.

This interactive needs JavaScript. The worked examples below show the same ideas step by step.

Rounded to the Nearest examples, step by step

Example 1: Nearest tenth

Warm-up

Round 58.463 to the nearest tenth.

  1. The tenths digit is 4 (58.463).
  2. The next digit to the right is 6, which is 5 or more, so round up.
  3. The 4 becomes 5 and the digits after it are dropped: 58.5.

Answer: 58.463 rounded to the nearest tenth is 58.5.

Example 2: A test answer to the nearest hundredth

Core

Find the area of a circle with radius 4 cm, rounded to the nearest hundredth.

  1. Exact area: A = π (4)2 = 16π.
  2. With a calculator: 16π = 50.2654….
  3. Hundredths digit 6; next digit 5, so round up: 50.27.

Answer: The area is about 50.27 square centimeters.

Example 3: Nearest whole number in context

Test-style

A car used 11.6 gallons of gas to travel 327 miles. What is its gas mileage, rounded to the nearest whole number?

  1. Miles per gallon: 327 ÷ 11.6 = 28.189….
  2. The tenths digit is 1, which is less than 5, so round down.
  3. Divide first and round once at the end; do not round 11.6 to 12 first, which gives 27.25.

Answer: The gas mileage is about 28 miles per gallon.

Common mistakes

✗ MistakeRounding 2.449 to the nearest tenth step by step: 2.449 → 2.45 → 2.5.
✓ InsteadLook only at the hundredths digit: 2.449 has 4 after the tenths place, so it rounds to 2.4.

Rounding twice (chain rounding) can push a number over the halfway mark. Round once, from the original number.

✗ Mistake4.97 rounded to the nearest tenth is 4.10.
✓ Instead4.97 rounds to 5.0.

9 tenths plus 1 tenth is 10 tenths, which carries into the ones place.

✗ Mistake2,746 rounded to the nearest hundred: the ones digit is 6, so round up to 2,800.
✓ InsteadLook at the tens digit, 4: round down to 2,700.

The deciding digit is the one just right of the hundreds place, not the last digit of the number.

Not to be confused with

Rounded to the Nearestvs.Rounding

rounding is the general skill. Rounded to the nearest is the instruction that names the place to round to, which changes the answer: 2,746.381 is 2,746 to the nearest whole number but 2,700 to the nearest hundred.

Rounded to the Nearestvs.Truncating

Truncating just chops digits off: 58.46 truncated to tenths is 58.4. Rounded to the nearest tenth it is 58.5, because the next digit, 6, rounds up.

Rounded to the Nearestvs.Estimate

An estimate is any reasonable approximate answer, often from rounding the inputs first. A rounded to the nearest answer comes from rounding the exact result once, at the end.

Quick check: 3 questions

Question 1 of 3

Round 0.6372 to the nearest hundredth.

Show answer and explanation

Answer: B. Hundredths digit 3, next digit 7, so round up to 0.64. 0.63 rounds the wrong way, 0.637 is the nearest thousandth, and 0.6 the nearest tenth.

Question 2 of 3

A bill of 87.35 dollars is split evenly among 3 people. How much does each pay, rounded to the nearest cent?

Show answer and explanation

Answer: B. 87.35 ÷ 3 = 29.1166…. The hundredths digit is 1 and the next digit is 6, so round up to 29.12. 29.11 just chops off digits, 29.1 is the nearest tenth, and 29.00 is the nearest whole dollar.

Question 3 of 3

Which number rounds to 4.3 when rounded to the nearest tenth?

Show answer and explanation

Answer: C. 4.349 has hundredths digit 4, so it rounds down to 4.3. 4.35 rounds up to 4.4, and 4.24 and 4.249 both round to 4.2 (chain rounding 4.249 to 4.25 and then 4.3 is the trap).

Rounded to the Nearest: frequently asked questions

What does rounded to the nearest tenth mean?

It means keep one digit after the decimal point, choosing the tenth that is closest to the exact value. Look at the hundredths digit: if it is 5 or more, add 1 to the tenths digit; if it is 4 or less, keep the tenths digit. Then drop everything after it. So 7.462 becomes 7.5 and 7.438 becomes 7.4.

What does rounded to the nearest whole number mean?

It means give the integer closest to the exact value, with no decimal part. Look at the tenths digit: 5 or more rounds up, 4 or less rounds down. So 12.5 becomes 13, 12.49 becomes 12, and 99.7 becomes 100. On tests, round only after finishing every step of the calculation.

When should I round on a test?

Round once, at the very end, unless the question tells you otherwise. Keep full calculator values, or exact forms like 16π, for every step in between. Rounding early can change the final digit and turn a right method into a wrong answer choice. Then round to exactly the place the question names.

Practice and tools

Sources

  1. OpenStax, Prealgebra 2e, 1.1 Introduction to Whole Numbers (rounding)
  2. OpenStax, Prealgebra 2e, 5.1 Decimals
  3. Common Core State Standards, Grade 5 Number and Operations in Base Ten (5.NBT.A.4)
  4. Common Core State Standards, Grade 3 Number and Operations in Base Ten (3.NBT.A.1)

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 3.NBT.A.1, CCSS 5.NBT.A.4

Cite this entry

Effortless Math Team. “Rounded to the Nearest.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/rounded-to-the-nearest/

Flashcard

TermRounded to the Nearest58.463 → nearest tenth
DefinitionKeep the named place and look at the next digit: 5 or more rounds up. 58.463 to the nearest tenth is 58.5.
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