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 11 decimal place.

Worked solution

  1. Identify the first decimal place (tenths)

    3.473.47

    We are rounding 3.473.47 to the 11 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 77, which is 55 or more, so we round up.

  3. Write 3.473.47 rounded to the 11 decimal place

    3.473.53.47 \approx 3.5

    So 3.473.47 rounded to the 11 decimal place is 3.53.5.

Answer
3.53.5
Question 2
1 markeasy
Round 0.8260.826 to the 22 decimal places.

Worked solution

  1. Identify the second decimal place (hundredths)

    0.8260.826

    We are rounding 0.8260.826 to the 22 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 66, which is 55 or more, so we round up.

  3. Write 0.8260.826 rounded to the 22 decimal places

    0.8260.830.826 \approx 0.83

    So 0.8260.826 rounded to the 22 decimal places is 0.830.83.

Answer
0.830.83
Question 3
1 markeasy
Round 15.37215.372 to the 22 decimal places.

Worked solution

  1. Identify the second decimal place (hundredths)

    15.37215.372

    We are rounding 15.37215.372 to the 22 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 22, which is less than 55, so we round down.

  3. Write 15.37215.372 rounded to the 22 decimal places

    15.37215.3715.372 \approx 15.37

    So 15.37215.372 rounded to the 22 decimal places is 15.3715.37.

Answer
15.3715.37
Question 4
1 markeasy
Round 7.6497.649 to the 11 decimal place.

Worked solution

  1. Identify the first decimal place (tenths)

    7.6497.649

    We are rounding 7.6497.649 to the 11 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 44, which is less than 55, so we round down.

  3. Write 7.6497.649 rounded to the 11 decimal place

    7.6497.67.649 \approx 7.6

    So 7.6497.649 rounded to the 11 decimal place is 7.67.6.

Answer
7.67.6
Question 5
1 markeasy
Round 2.95182.9518 to the 33 decimal places.

Worked solution

  1. Identify the third decimal place (thousandths)

    2.95182.9518

    We are rounding 2.95182.9518 to the 33 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 88, which is 55 or more, so we round up.

  3. Write 2.95182.9518 rounded to the 33 decimal places

    2.95182.9522.9518 \approx 2.952

    So 2.95182.9518 rounded to the 33 decimal places is 2.9522.952.

Answer
2.9522.952

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