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Understanding Place Value
- Place value is a fundamental concept in mathematics that helps us understand the value of digits in a number.
- Each digit's position within a number determines its value.
- We commonly use headings like 'ones', 'tens', 'hundreds', and 'thousands' to represent place values.
Solved Examples
Example 1: How do you represent the number 167 with a place value chart?
Sol: The number 167 consists of the digits 1, 6, and 7.
We can break down 167 into 1 hundred, 6 tens, and 7 ones.
In other words, 1 hundred, 6 tens and 7 ones.
A place value chart can utilize dots to represent digits. For 167, this would mean:
- Place value chart: A place value chart can use dots to represent digits, where each dot corresponds to a specific value. For instance, 1 hundred, 6 tens, and 7 ones can be represented using dots.
- Base 10 blocks: Base 10 blocks can be used to represent a number. A 10 x 10 square block represents one hundred, a 10 x 1 row represents one ten, and an individual block represents one unit.
- Place value counters: Counters can also be used to represent a number. You can use a counter for each hundred, each ten, and each one.
Example 2: Let's rearrange the digits 1, 6 and 7 into 671 to see how it changes the number.
Sol: 
Base 10
Place value counters
The same digits have been used but they are in a different order. Their value completely changes.
Example 3: Ellie wants to show the number 345 using place value counters. Can you help her?
Sol: The first thing you need to do is partition the number. That's 3 hundreds, 4 tens and 5 ones.
Now put them together to represent 345.
The document Numbers to 1,000 | Year 4 Mathematics is a part of the Year 4 Course Year 4 Mathematics.
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FAQs on Numbers to 1,000 - Year 4 Mathematics
| 1. What is the largest number that can be represented using three digits? |  |
| 2. How many hundreds are there in the number 500? | |
Ans. There are 5 hundreds in the number 500.
| 3. Can you write the number 567 in words? | |
Ans. Yes, the number 567 can be written as "five hundred sixty-seven" in words.
| 4. How many tens are there in the number 350? | |
Ans. There are 35 tens in the number 350.
| 5. Is 1,000,000 greater than 999,999? | |
Ans. Yes, 1,000,000 is greater than 999,999.
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About this Document
Apr 11, 2025
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Document Description: Numbers to 1,000 for Year 4 2025 is part of Year 4 Mathematics preparation.
The notes and questions for Numbers to 1,000 have been prepared according to the Year 4 exam syllabus. Information about Numbers to 1,000 covers topics
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