Science, Maths & Technology

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# 1.1 Positive numbers and place value Figure 1 Place value

Let’s look at positive numbers in more detail.

The place value of a digit in a number depends on its position or place in the number:

The value of 8 in 58 is 8 units.

The value of 3 in 34 is 3 tens.

The value of 4 in 435 is 4 hundreds.

The value of 6 in 6,758 is 6 thousands.

Look at the following example, which shows the place value of each digit in a seven-digit number.

## Example: What’s in a number?

Take the number 9,046,251. The value of each digit is as follows:

9 millions

0 hundred thousands

4 ten thousands (or 40 thousand)

6 thousands

2 hundreds

5 tens

1 unit

To make large numbers easier to read, we put them in groups of three digits starting from the right:

6532 is often written as 6,532 (or 6 532).

25897 is often written as 25,897 (or 25 897).

596124 is often written as 596,124 (or 596 124).

7538212 is often written as 7,538,212 (or 7 538 212).

Use the example above to help you with the following activity. Remember to check your answers once you have completed the questions.

## Activity 1: Working with place value

1. Write 4,025 in words.
Th H T U
4 0 2 5

4,025 in words is four thousand and twenty-five.

1. Write six thousand, four hundred and seventy-two in figures.
Th H T U
six four seven two

Six thousand, four hundred and seventy-two in figures is 6,472.

1. Here are the results of an election to be school governor at Hawthorn School:

• John Smith: 436 votes
• Sonia Cedar: 723 votes
• Pat Kane: 156 votes
• Anjali Seedher: 72 votes

Who won the election?

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