Functional Skills Level 2 — Rounding and Estimation

Rounding to the Nearest Whole Number

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Learning Objectives

Real-World Applications

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The Rule: Look at the First Decimal Digit

When rounding a decimal to the nearest whole number, you only need to look at one digit — the first digit after the decimal point (the tenths digit).

This single digit tells you everything: round up or round down.

If first decimal digit ≥ 5 → round UP   |   If first decimal digit < 5 → round DOWN
Number Line: Rounding to Nearest Whole Number 3 4 3.5 3.2 rounds DOWN to 3 3.7 rounds UP to 4 3.5 → UP Look at digit after decimal point Is it ≥ 5? (tenths digit) YES Round UP add 1 to whole NO Round DOWN keep whole no. 4.7 → 5   |   8.3 → 8 5.5 → 6   |   0.4 → 0

Worked Example 1 — Round 4.7 to the nearest whole number

Step 1
Look at the first decimal digit: 7
Step 2
7 ≥ 5, so we round UP
Step 3
4 + 1 = 5
4.7 rounded to the nearest whole number = 5

Worked Example 2 — Round 8.3 to the nearest whole number

Step 1
Look at the first decimal digit: 3
Step 2
3 < 5, so we round DOWN
Step 3
The whole number stays as 8
8.3 rounded to the nearest whole number = 8
Tip: The digit after the decimal point is the ONLY digit you look at when rounding to the nearest whole number.
✓ Quick Check 1 — The Basic Rule
Question 1 of 10
Tricky Cases and Common Mistakes

Some decimals look tricky but the rule never changes — only the first decimal digit matters. Students often make mistakes by looking at too many digits.

Common Mistake with 9.95 ✗ WRONG 9.95 rounds to 9 Student looked at the wrong digit ✓ CORRECT 9.95 rounds to 10 First decimal digit is 9, which is ≥5 0.499 → 0 First decimal digit is 4 → round DOWN to 0 Place Value Table for 12.501 Tens Units . Tenths ★ LOOK HERE Hundredths Thousandths 1 2 . 5 0 1 5 ≥ 5, round UP

Worked Example 3 — Round 9.95 to the nearest whole number

Step 1
Look at the first decimal digit (tenths place): 9
Step 2
9 ≥ 5, so we round UP
Step 3
9 + 1 = 10
Step 4
Answer: 10
9.95 rounded to the nearest whole number = 10

Worked Example 4 — Round 0.499 to the nearest whole number

Step 1
Look at the first decimal digit (tenths place): 4
Step 2
4 < 5, so we round DOWN
Step 3
The whole number stays as 0
Step 4
Answer: 0 — Note: the 9s after don’t matter!
0.499 rounded to the nearest whole number = 0

Worked Example 4b — Round 12.501 to the nearest whole number

Step 1
Look at the first decimal digit (tenths place) only: 5. Ignore the 01 that comes after it — like with 0.499, only this one digit decides.
Step 2
\(5 \geq 5\), so we round UP
Step 3
The whole number 12 increases by 1: 13
Step 4
Answer: 13
12.501 rounded to the nearest whole number = 13
Common mistake: Looking at more than one decimal digit. For rounding to the nearest whole number, ONLY look at the tenths digit (first after the decimal point).
✓ Quick Check 2 — Tricky Cases
Question 1 of 10
Rounding in Real Life

Rounding is used constantly in everyday situations. Whether you’re estimating a shopping bill, reporting a distance, or recording a temperature, the same rule applies.

Shopping Estimate Receipt Bread £1.79 → £2 Milk £0.89 → £1 Cheese £3.49 → £3 Juice £1.55 → £2 Estimate Total: £8 £2 + £1 + £3 + £2 = £8 (quick mental estimate) Context Number Decision Rounded Marathon 42.195 km tenths digit: 1 1 < 5 → round down 42 km Exam score 67.8% tenths digit: 8 8 ≥ 5 → round up 68% Temperature 36.6°C tenths digit: 6 6 ≥ 5 → round up 37°C

Worked Example 5 — A runner completes a race in 28.7 minutes. Round to the nearest minute.

Step 1
Look at the first decimal digit: 7
Step 2
7 ≥ 5, so we round UP
Step 3
28 + 1 = 29 minutes
28.7 minutes rounded to the nearest minute = 29 minutes

Worked Example 6 — A plank of wood is 2.3 metres long. Round to the nearest metre.

Step 1
Look at the first decimal digit: 3
Step 2
3 < 5, so we round DOWN
Step 3
The whole number stays as 2 metres
2.3 metres rounded to the nearest metre = 2 metres
✓ Quick Check 3 — Real Life Rounding
Question 1 of 10

Practice: Round these numbers to the nearest whole number

Type your answer and click Check Answers.

NumberYour AnswerResult
3.7
8.2
9.5
0.499
14.6
2.31
7.5
99.4
9.7
5.49

⚠ Things to Watch Out For

  • Looking at the wrong digit: To round to the nearest whole number, look at the FIRST decimal digit (tenths). If it's 5 or more, round up. If less than 5, round down.
  • Rounding 9.5 incorrectly: 9.5 rounds UP to 10 — not down to 9. The digit after the rounding position is 5, so always round up.
  • Changing digits before the rounding point: 3.7 rounds to 4, not 40 or 4.0 — only the specified digit changes, everything before stays the same (unless there's a carry).
  • Forgetting the carry: 9.7 rounds to 10, not 9. The carry ripples left — the units digit 9 becomes 10, adding 1 to the tens column.
  • Rounding too many times: Round in ONE step using the original number. Rounding 3.45 to the nearest whole: look at .4 → round down to 3. Do NOT first round to 3.5 then up to 4.
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