NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Problems and Solutions
Question 94

Question. 94

Round off 27.981 to the nearest tenths.

Answer:

28.0

Detailed Answer with Explanation:

Goal: Round 27.981 to the nearest tenths (one decimal place).

Step 1: Identify the tenths digit (the first digit after the decimal point).

Number: \(27.981\)

Tenths digit: \(9\) (in \(27.981\))

Step 2: Look at the next digit (hundredths place) to decide rounding.

Hundredths digit: \(8\) (in \(27.981\))

Step 3 (Rounding rule): If the next digit is \(\ge 5\), increase the tenths digit by \(1\). If it is \(< 5\), keep the tenths digit the same.

Here, \(8 \ge 5\), so we round up.

Step 4: Increase the tenths digit \(9\) by \(1\).

\(9 + 1 = 10\) → this creates a carry to the whole-number part.

Step 5: So \(27.9\) rounded up by \(0.1\) becomes:

\(27.9 + 0.1 = 28.0\)

Final Answer: \(\boxed{28.0}\)

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – Problems and Solutions | Detailed Answers