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Place value and rounding

Place value and rounding for ESOL Media Studies: what it means, how to set the working out, and the questions it is asked in.
  • ESOL
  • Media Studies
  • Spec N9
  • 13 min read
  • 10 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.
The specification wording is precise here, and the mark scheme follows that wording exactly.
2 rows

The place value and rounding reference table

Read the units in the question before you start; a converted unit is the most common slip.
Worth knowing: a2+b2=c2a^2 + b^2 = c^2.
Term
Meaning
Example
Common slip
Row 1 column 1
Row 1 column 2
×10\times 10 moves every digit one column left
Row 1 column 4
Row 2 column 1
Row 2 column 2
49=7\sqrt{49} = 7
Row 2 column 4

Learning

6 boxes
3 steps

How to work with place value and rounding

Check the answer against an estimate before you move on, so a place-value slip is caught here.
  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: 34×25\frac{3}{4} \times \frac{2}{5}.
Answer: ≈160\approx 160
3 rules

Key facts: Place value and rounding

Work through the method one line at a time and write down what changes at each step.
Worth knowing: a2+b2=c2a^2 + b^2 = c^2.

  • Rule 1

    How place value and rounding behaves in the 1st of the cases the specification names.
    ×10\times 10 moves every digit one column left

  • Rule 2

    How place value and rounding behaves in the 2nd of the cases the specification names.
    a2+b2=c2a^2 + b^2 = c^2

  • Rule 3

    How place value and rounding behaves in the 3rd of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0
4 steps

How to work with place value and rounding

The specification wording is precise here, and the mark scheme follows that wording exactly.
Worth knowing: ×10\times 10 moves every digit one column left.
  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: 49=7\sqrt{49} = 7.
Answer: ×10\times 10 moves every digit one column left
2 rules

Key facts: Place value and rounding

Read the units in the question before you start; a converted unit is the most common slip.
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: a2+b2=c2a^2 + b^2 = c^2.

  • Rule 1

    How place value and rounding behaves in the 1st of the cases the specification names.
    34×25\frac{3}{4} \times \frac{2}{5}

  • Rule 2

    How place value and rounding behaves in the 2nd of the cases the specification names.
    a2+b2=c2a^2 + b^2 = c^2

  • Rule 3

    How place value and rounding behaves in the 3rd of the cases the specification names.
    49=7\sqrt{49} = 7
3 steps

How to work with place value and rounding

Check the answer against an estimate before you move on, so a place-value slip is caught here.
  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: 49=7\sqrt{49} = 7.
Answer: 34×25\frac{3}{4} \times \frac{2}{5}
3 rules

Key facts: Place value and rounding

Work through the method one line at a time and write down what changes at each step.
Worth knowing: ≈160\approx 160.

  • Rule 1

    How place value and rounding behaves in the 1st of the cases the specification names.
    49=7\sqrt{49} = 7

  • Rule 2

    How place value and rounding behaves in the 2nd of the cases the specification names.
    ×10\times 10 moves every digit one column left

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Examples

2 boxes
1 marks · worked

Worked example: place value and rounding

Sketch the shape even when the question does not ask for one — it makes the next step obvious.
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.
3 marks · worked

Practice question 10: 49=7\sqrt{49} = 7

Work through the method one line at a time and write down what changes at each step.
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}.

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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 ESOL Media Studies paper?
Yes — it sits in the Number strand.