Approximation and Rounding · Hook

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Ever wondered why the news says "about 40,000 fans"?

The real crowd at the stadium might have been 38,652 people. Nobody needs every digit — "about 40,000" is easier to say and remember. That is rounding, and it also helps you check your sums in the market.

Revision notes

📒 Approximation and Rounding: lesson notes

Round numbers to the nearest ten, hundred, thousand or whole number, and use rounding to estimate answers quickly.

The real crowd at the stadium might have been 38,652 people. Nobody needs every digit — "about 40,000" is easier to say and remember. That is rounding, and it also helps you check your sums in the market.

Which is nearer?

Rounding means replacing a number with a nearby, simpler number.

47 lies between 40 and 50. It is 3 away from 50 but 7 away from 40, so 47 rounded to the nearest ten is 50.

When a number is exactly halfway, like 45, we round up to 50.

🔑 Key idea: Round to whichever value is nearer. Halfway rounds up.

The deciding digit

Look at the digit just after the place you are rounding to. If it is 5 or more, round up; if it is 4 or less, round down.

3,462 to the nearest hundred: the digit after the hundreds is 6, so round up to 3,500. The places after become zeros, so the number stays about the same size.

Decimals work the same way: 12.68 to the nearest whole number is 13 (the tenths digit is 6), and to 1 decimal place it is 12.7.

🔑 Key idea: 5 or more → round up. 4 or less → round down.

Estimating

An estimate is a rough answer found by rounding first. It is quick to do in your head.

₦387 + ₦512 ≈ ₦400 + ₦500 = ₦900. The exact total is ₦899 — very close!

Estimating helps you spot mistakes: if your calculator says ₦8,990, you know something is wrong.

🔑 Key idea: Round, then calculate — use estimates to check answers.

Worked example

A farmer harvested 11,444 tubers of yam. Round this number to the nearest ten.

  1. Step 1: Find the two nearest multiples

    11,444 is between 11,440 and 11,450.

  2. Step 2: Look at the deciding digit

    The digit after the tens place is 4.

    4 is less than 5, so round DOWN.

  3. Step 3: Answer

    11,444 ≈ 11,440

    Why? Rounding keeps the number the same size — the dropped places become zeros.

Answer: 11,440

Summary

  • Rounding gives a simpler number that is close to the real one.
  • Look at the next digit: 5 or more rounds up, 4 or less rounds down.
  • Fill the dropped whole-number places with zeros to keep the size.
  • To round to the nearest whole number, look at the tenths digit.
  • Estimate by rounding first — it helps you check answers.

Ready to check you've got it? Scroll up and work through the lesson: the interactive visuals, practice questions and mastery check are all there.