Rounding Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE Rounding questions. See exactly how to solve problems on rounding, dp, nearest, sf.

roundingdpnearestsfsignificant figuresdecimal places
GCSE Foundation70 questionsStep-by-step solutions
Question 1
1 markeasy
Round 3.473.47 to the 1 decimal place.

Worked solution

  1. Identify the first decimal place (tenths)

    3.473.47

    We are rounding 3.47 to the 1 decimal place, so we focus on the first decimal place (tenths).

  2. Look at the next digit to decide

    next digit=7\text{next digit} = 7

    The next digit is 7, which is 5 or more, so we round up.

  3. Write 3.47 rounded to the 1 decimal place

    3.473.53.47 \approx 3.5

    So 3.47 rounded to the 1 decimal place is 3.5.

Answer
3.53.5
Question 2
1 markeasy
Round 0.8260.826 to the 2 decimal places.

Worked solution

  1. Identify the second decimal place (hundredths)

    0.8260.826

    We are rounding 0.826 to the 2 decimal places, so we focus on the second decimal place (hundredths).

  2. Look at the next digit to decide

    next digit=6\text{next digit} = 6

    The next digit is 6, which is 5 or more, so we round up.

  3. Write 0.826 rounded to the 2 decimal places

    0.8260.830.826 \approx 0.83

    So 0.826 rounded to the 2 decimal places is 0.83.

Answer
0.830.83
Question 3
1 markeasy
Round 15.37215.372 to the 2 decimal places.

Worked solution

  1. Identify the second decimal place (hundredths)

    15.37215.372

    We are rounding 15.372 to the 2 decimal places, so we focus on the second decimal place (hundredths).

  2. Look at the next digit to decide

    next digit=2\text{next digit} = 2

    The next digit is 2, which is less than 5, so we round down.

  3. Write 15.372 rounded to the 2 decimal places

    15.37215.3715.372 \approx 15.37

    So 15.372 rounded to the 2 decimal places is 15.37.

Answer
15.3715.37
Question 4
1 markeasy
Round 7.6497.649 to the 1 decimal place.

Worked solution

  1. Identify the first decimal place (tenths)

    7.6497.649

    We are rounding 7.649 to the 1 decimal place, so we focus on the first decimal place (tenths).

  2. Look at the next digit to decide

    next digit=4\text{next digit} = 4

    The next digit is 4, which is less than 5, so we round down.

  3. Write 7.649 rounded to the 1 decimal place

    7.6497.67.649 \approx 7.6

    So 7.649 rounded to the 1 decimal place is 7.6.

Answer
7.67.6
Question 5
1 markeasy
Round 2.95182.9518 to the 3 decimal places.

Worked solution

  1. Identify the third decimal place (thousandths)

    2.95182.9518

    We are rounding 2.9518 to the 3 decimal places, so we focus on the third decimal place (thousandths).

  2. Look at the next digit to decide

    next digit=8\text{next digit} = 8

    The next digit is 8, which is 5 or more, so we round up.

  3. Write 2.9518 rounded to the 3 decimal places

    2.95182.9522.9518 \approx 2.952

    So 2.9518 rounded to the 3 decimal places is 2.952.

Answer
2.9522.952

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