Place Value Of Four Digit Numbers

Objectives

To be able to work with numbers in both written and numerical form.

To recognize the value of digits in four digit numbers.

Resources

Abacus 4 Textbook 1 | Squared paper | Hit the Button (TopMarks) | Place Value Charts (TopMarks)

Today's Lesson

Main Activity

As a mental warm up, click on Hit the Button (TopMarks) and choose Division Facts to practise times tables facts.

Watch the 'Place Value' video to understand to value of digits in 2, 3 and 4 digit numbers.

Turn to page 13 in Abacus 4 Textbook 1.

Ask your student to copy the numbers in word form and to then write them in digits alongside. It is very common to see the following, for example:

Six thousand, two hundred and fifteen – 600020015

Students frequently forget that the zeros must not be included within the full number. The position of the digit within the number is what gives it the value. Therefore, the correct representation is 6,215.

It might be helpful to draw four columns, with the headings ‘1000s’, ‘100s’, ‘10s’, and ‘1s’. So, the above number would be written:


1000s	100s	10s	1s
6	2	1	5

It may be useful to use Place Value Charts (TopMarks) and choose Practise. This will help your student further understand the value of each digit.

When your student has completed the top of the page, look at the calculations from 7 – 16. Ask your student to identify which part of the larger number can be ignored, while the calculation is being addressed. For Question 7, for example, the hundreds digit can be ignored while we work with the tens and ones digits. Point out that we can often do this with quite large numbers; when a calculation is being worked on, we may only need to concentrate on two of the numbers’ digits, as we did here. By partitioning the numbers in this way, calculations can be simplified and appear more manageable.

Citations

[1] www.topmarks.co.uk [2] www.topmarks.co.uk