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Primary - Stage 3 (Year 5 & 6) Stage 3 (Year 5 & 6) Decimals

Round decimals - to 1 decimal place

20 practice questions 0 video lessons Theory + worked examples
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Theory

To round a decimal to 1 decimal place, look at the hundredths digit: round the tenths up if it is \(5\) or more, down if it is less. Write the answer with exactly one digit after the point, so \(4.0\), not \(4\).

Rounding to 1 decimal place keeps one digit after the point — the tenths.

Look at the next digit, the hundredths. If it is \(5\) or more, round the tenths up; otherwise keep it.

The answer must show exactly one decimal place, so write \(4.0\), not \(4\).

Number line from 6.3 to 6.4 with 6.38 marked 6.3 6.4 6.35 6.38
\(6.38\) lies right of the halfway mark \(6.35\), so it is closer to \(6.4\) and rounds up to \(6.4\).

Read the hundredths digit, then round the tenths.

DecimalHundredths digitRounds to
\(6.34\)\(4\) (down)\(6.3\)
\(6.38\)\(8\) (up)\(6.4\)
\(0.96\)\(6\) (up)\(1.0\)

How to round to 1 decimal place

  1. Find the hundredths digit, just after the tenths.
  2. Round the tenths up if the hundredths digit is \(5\) or more.
  3. Write the answer with one digit after the point.
Example 1 — Round down
Round \(6.34\) to \(1\) decimal place.
Solution

Hundredths digit \(4 < 5\), so round down.

\(6.34\)\(=\)\(6.3\)
Example 2 — Round up
Round \(6.38\) to \(1\) decimal place.
Solution

Hundredths digit \(8 \geq 5\), so round up.

\(6.38\)\(=\)\(6.4\)
Example 3 — Carry into the ones
Round \(0.96\) to \(1\) decimal place.
Solution

The tenths digit \(9\) rounds up and carries.

\(0.96\)\(=\)\(1.0\)
Example 4 — Length
A pencil is \(8.25\) cm long. Round to \(1\) decimal place.
Solution

Hundredths digit \(5\), so round up.

\(8.25\)\(=\)\(8.3\text{ cm}\)

Common pitfalls

Look at the hundredths digit. It is the digit just after the tenths that decides the rounding.
Keep one decimal place. Write the answer with one digit after the point, such as \(4.0\), not \(4\).
A 9 in the tenths can carry. Rounding \(0.96\) up makes the tenths a ten, carrying into the ones: \(0.96 \rightarrow 1.0\).

Frequently asked questions

Which digit decides the rounding?

The hundredths digit, the second digit after the point. If it is \(5\) or more, the tenths rounds up.

Why write 4.0 instead of 4?

Rounding to one decimal place means the answer must show one digit after the point, so \(4.0\) shows the level of rounding.

What if the tenths is a 9?

Rounding a \(9\) up carries into the ones. \(0.96\) rounds to \(1.0\).

Do digits after the hundredths matter?

No. Only the hundredths digit decides. In \(1.449\) the hundredths digit is \(4\), so it rounds to \(1.4\).