Grade 3 → Number Sense and Numeration → Understanding Numbers ↓
Reading and Writing Numbers up to 10,000
Understanding numbers, especially when we enter large numbers, is a fundamental skill in math. In this guide, we will learn how to read and write numbers up to 10,000. We will look at both concepts and practice examples to strengthen your understanding.
Basic concepts
Numbers up to 10,000 are made up of units, tens, hundreds, and thousands. Each of these positions is called a "place value." Place value is important because it determines how much each digit in a number represents.
Place value
thousands | hundreds | tens | units 1,000 | 100 | 10 | 1
Let's take a closer look at an example:
2,354 = 2,000 + 300 + 50 + 4
In this instance:
- '2' is in the thousands place, so it means 2,000.
- '3' is in the hundreds place, which means 300.
- '5' is in the tens place, which represents 50.
- '4' is in units place, which means 4.
Reading the numbers
When you read numbers up to 10,000, it is important to read them in order from left to right:
3,682 - "three thousand six hundred eighty two"
Here's another example:
4,519 - "four thousand five hundred and nineteen"
Notice how the thousands, hundreds, tens, and units are read together to form the name of the number.
Writing numbers
To write numbers, start with the number word or phrase and convert each part into numeral form according to its place value.
For example, if we write:
"Seven thousand three hundred and twenty five"
We can translate this into numerical form:
7,325
Its division is as follows:
- 'Saat hazaar' means 7,000.
- 'Three hundred' = 300.
- 'Twenty five' means 25.
Visual representation
Let's look at some numbers for a better understanding:
This SVG shows the number 3,123 composed of three 1,000 blocks, one 100 block, two 10 blocks, and three one blocks.
Understanding number patterns
Recognizing patterns can help make sense of large numbers. Let's study a few:
Whenever you add a new digit to a number, you extend the scale or range of the number:
- 9 to 10: units to tens
- 99 to 100: Tens to hundreds
- 999 to 1,000: Hundreds to thousands
Practicing with examples
Below are some examples to help you understand reading and writing numbers:
Example 1
Number: 2,468
Breakdown:
- 2 in thousands place = 2,000
- 4 in hundreds place = 400
- 6 in tens place = 60
- 8 in unit's place = 8
Written: "two thousand four hundred and sixty eight"
Example 2
Number: 9,301
Breakdown:
- 9 in thousands place = 9,000
- 3 in hundreds place = 300
- 0 in tens place = 0
- 1 = 1 in unit place
It was written: "nine thousand three hundred and one"
Example 3
Number: 7,000
This is a straightforward matter:
- 7 in thousands place = 7,000
wrote: "seven thousand"
Converting word form to number form
Practice strengthens your understanding of conversion between different forms:
Example:
"five thousand seven hundred and eighteen"
Numerical form: 5,718
Take note of the location:
- 'five thousand' = 5,000
- 'seven hundred' = 700
- 'eighteen' = 18
Conclusion
Understanding place value and practising reading and writing numbers will help build a strong foundation for numeracy. Breaking numbers into thousands, hundreds, tens and units makes their structure clear. Including examples in both numerical and word forms enhances number sense. Always remember to practise with different examples to become proficient at identifying numbers up to 10,000.
Remember, practice plays a key role, and with time, reading and writing numbers up to 10,000 will become second nature. Happy learning!