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Place value and rounding

Place value and rounding for GCSE Engineering OCR Foundation: what it means, how to set the working out, and the questions it is asked in.
  • GCSE
  • OCR
  • Engineering
  • Foundation
  • Spec S13
  • 13 min read
  • 7 revision boxes

Introduction

2 boxes
1 min read

What is place value and rounding?

Listen to this box

Transcript

A short spoken summary of place value and rounding and where it is used.

A spoken walk-through of place value and rounding before you read the notes.
Practise the routine version until it is automatic, then move to the multi-step questions.
The layout below is the one the mark scheme expects.

Diagram showing place value and rounding laid out step by step

The same idea drawn out, so the method is visible.
2 rows

The place value and rounding reference table

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
Term
Meaning
Example
Row 1 column 1
Row 1 column 2
49=7\sqrt{49} = 7
Row 2 column 1
Row 2 column 2
a2+b2=c2a^2 + b^2 = c^2

Learning

3 boxes
4 steps

How to work with place value and rounding

This idea appears again in the higher-mark questions, so it is worth over-learning.
The layout below is the one the mark scheme expects.

Diagram showing place value and rounding laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: ≈160\approx 160.
  1. Read the question and write down what is being asked for.
  2. Set out the working for place value and rounding in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: 49=7\sqrt{49} = 7.
Answer: a2+b2=c2a^2 + b^2 = c^2
3 rules

Key facts: Place value and rounding

The examiner marks the working, so a correct answer with no method still drops marks.

  • Rule 1

    How place value and rounding behaves in the 1st of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0

  • Rule 2

    How place value and rounding behaves in the 2nd of the cases the specification names.
    ≈160\approx 160
4 steps

How to work with place value and rounding

Practise the routine version until it is automatic, then move to the multi-step questions.
The layout below is the one the mark scheme expects.

Diagram showing place value and rounding laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: 34×25\frac{3}{4} \times \frac{2}{5}.
  1. Read the question and write down what is being asked for.
  2. Set out the working for place value and rounding in the order the method gives.
  3. Substitute the values and simplify.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: ≈160\approx 160.
Answer: 34×25\frac{3}{4} \times \frac{2}{5}

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Examples

2 boxes
3 marks · worked

Worked example: place value and rounding

This idea appears again in the higher-mark questions, so it is worth over-learning.
2 marks · worked

Practice question 7: 34×25\frac{3}{4} \times \frac{2}{5}

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
Worth knowing: 49=7\sqrt{49} = 7.

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Common questions

How many marks is place value and rounding usually worth?
Between one and four, depending on how many steps the question asks for.
Is this on the GCSE Engineering OCR Foundation paper?
Yes — it sits in the Number strand.