# Understand Place Value

In this worksheet, students will calculate the number value represented by specific digits, using knowledge of place value in both larger whole numbers and decimals.

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic:   Number, Number Operations and Integers

Curriculum subtopic:   Structure and Calculation Whole Number Theory

Popular topics:   Place Value worksheets

Difficulty level:

#### Worksheet Overview

When using place value, it is useful to use a table that looks something like this:

 Thousands Hundreds Tens Units . Tenths Hundredths Thousandths x 1000 x 100 x 10 x 1 . ÷ 10 ÷ 100 ÷ 1000 8 7 6 5 . 4 3 2

If we want to know what magnitude each of the numbers represents, we need to look at which column it lies in.

e.g. The number 7 in the table is in the 'Hundreds' column.

This means we need to multiply by 100 to find its true value.

7 x 100 = 700

This means that the digit 7 in this table represents the number 700 in reality.

e.g. The number 2 in the table is in the 'Thousandths' column.

This means we need to divide by 1000 to find its true value.

2 ÷ 1000 = 0.002

This means that the digit 2 represents 0.002.

In this activity, you will calculate the number value represented by specific digits using your knowledge of place value in both larger whole numbers and decimals.

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