Show a number in parts
3,426 can be represented as 3,000 + 400 + 20 + 6.
Partitioning shows the value clearly.
Year 4
Identify, represent and estimate numbers using different representations
Represent larger numbers in different ways and estimate sensibly using number lines and place value.
Lesson overview
Number - number and place value
A number can be shown in words, digits, place-value parts or on a number line. Estimating means making a sensible decision about where a number fits.
Estimate on a number line
A point halfway between 6,000 and 7,000 is about 6,500.
Look at where the point sits between the end points.
Match words and numerals
Four thousand and eighteen is written as 4,018.
four thousand and eighteen
The same number can be shown in different forms.
Worked example
Estimate the number marked halfway between 2,000 and 3,000.
- Look at the two end points.
- Halfway between 2,000 and 3,000 is 500 more than 2,000.
- 2,000 + 500 = 2,500.
- So the estimate is 2,500.
Round 1: Learn it
Use the representation carefully before you choose the number.
Finish this round to unlock Round 2: Show you know it.
Question 1
Which partition matches 5,241?
Question 2
Which number is halfway between 4,000 and 5,000?
Question 3
Which numeral matches 'seven thousand and six'?
seven thousand and six
Question 4
Estimate the middle number between 8,000 and 9,000.
Question 5
Which representation shows 6,080?
Common mistakes
Watch for these as you work through the lesson.
- Guessing without using the number-line end points.
- Missing one place-value part when partitioning.
- Mixing up the word form and the numeral form.
Related topics
These ideas connect closely to this lesson.
- Recognise the place value of each digit in a four-digit number.
- Order and compare numbers beyond 1000.