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How to Round to the Nearest Hundredth

Master rounding to two decimal places for money, percentages, and everyday calculations

What Does "Nearest Hundredth" Mean?

Rounding to the nearest hundredth means keeping exactly two decimal places. The hundredth place is the second digit after the decimal point and represents 1/100 or 0.01.

Understanding Decimal Places

12.345

1
Tens
2
Ones
.
3
Tenths
(1st decimal)
4
Hundredths
(2nd decimal)

The digit after hundredths (5) tells us how to round

The Golden Rule

If the third decimal is 5 or more (5, 6, 7, 8, 9):

Round UP ⬆️

If the third decimal is less than 5 (0, 1, 2, 3, 4):

Round DOWN ⬇️

Step-by-Step Process

Step 1: Identify the Hundredth Place

Find the second digit after the decimal point. This is the hundredth place.

Example: In 4.567, the hundredth place is 6

Step 2: Look at the Third Decimal

The third decimal digit (thousandths place) determines whether to round up or down.

Example: In 4.567, the third decimal is 7

Step 3: Apply the Rounding Rule

Since 7 is ≥ 5, we round UP. Increase the hundredth digit by 1.

4.56 becomes 4.57

Step 4: Drop Everything After the Hundredth

Remove all digits after the second decimal place.

Final answer: 4.57

Visual Examples

Example 1: Round UP

Original: 3.456

Hundredth place: 5

Third decimal: 6 (≥ 5, so round UP)

Result: 3.46

Example 2: Round DOWN

Original: 7.892

Hundredth place: 9

Third decimal: 2 (< 5, so round DOWN)

Result: 7.89

Example 3: Exactly 5

Original: 2.345

Hundredth place: 4

Third decimal: 5 (= 5, so round UP)

Result: 2.35

Practice Examples

Original NumberThird DecimalRounded to HundredthDirection
3.1415921 (< 5)3.14Down ⬇️
5.6788 (≥ 5)5.68Up ⬆️
12.9955 (≥ 5)13.00Up ⬆️
8.2344 (< 5)8.23Down ⬇️
0.9999 (≥ 5)1.00Up ⬆️
99.9944 (< 5)99.99Down ⬇️

When Do You Round to the Nearest Hundredth?

💵 Money & Finance

  • •Currency: $12.995 → $13.00
  • •Prices: $5.678 → $5.68
  • •Tax calculations: $19.876 → $19.88
  • •Interest rates: 3.456% → 3.46%

📊 Percentages

  • •Test scores: 87.894% → 87.89%
  • •Growth rates: 4.567% → 4.57%
  • •Statistics: 23.456% → 23.46%
  • •Survey results: 65.432% → 65.43%

🎓 School & Grades

  • •GPA: 3.789 → 3.79
  • •Test averages: 91.234 → 91.23
  • •Grade points: 85.678 → 85.68
  • •Class rankings: 92.456 → 92.46

🔬 Measurements

  • •Metric units: 12.456 cm → 12.46 cm
  • •Chemistry: 5.678 mL → 5.68 mL
  • •Temperature: 98.678°F → 98.68°F
  • •Weight: 145.234 lbs → 145.23 lbs

Common Mistakes to Avoid

❌ Mistake #1: Looking at the Wrong Digit

Wrong: For 3.456, looking at the first decimal (4) instead of the third (6)

Right: Always look at the THIRD decimal digit to decide how to round the SECOND

❌ Mistake #2: Rounding to the Wrong Place

Wrong: Rounding 5.678 to 5.7 (that's rounding to tenths, not hundredths!)

Right: 5.678 → 5.68 (keep TWO decimal places for hundredths)

❌ Mistake #3: Forgetting When 5 Rounds Up

Wrong: Rounding 2.345 to 2.34 (thinking 5 rounds down)

Right: 2.345 → 2.35 (when the third decimal is exactly 5, always round UP)

❌ Mistake #4: Not Adding Zeros When Needed

Wrong: Writing $13 instead of $13.00 when precision matters

Right: 12.995 → 13.00 (keep the .00 to show hundredth precision in money)

Special Cases

Whole Numbers

If you're asked to round a whole number to the nearest hundredth, add .00

Example: 42 → 42.00

Numbers with One Decimal

If there's only one decimal place, add a zero to show hundredth precision

Example: 7.5 → 7.50

Cascading Rounds

Sometimes rounding creates a chain reaction through the digits

Example: 9.996 → 10.00 (the 6 rounds the second 9 to 10, which carries over)

Negative Numbers

Rounding works the same way with negative numbers

Example: -3.456 → -3.46 (round UP means toward zero for negatives)

Quick Reference Card

📍 What is the Hundredth Place?

The SECOND digit after the decimal point

12.345

👀 Which Digit to Check?

Look at the THIRD decimal (thousandths)

12.345

⬆️ When to Round UP?

If third decimal is 5, 6, 7, 8, or 9

3.456 → 3.46

⬇️ When to Round DOWN?

If third decimal is 0, 1, 2, 3, or 4

8.234 → 8.23

💰 Most Common Use

Money and prices always use hundredths (cents)

$12.99