Introduction
Welcome to the wonderful world of numbers! In this chapter, we will explore numbers from 0 all the way to 500. Get ready to count, compare, and have fun with numbers!
1. Counting from 0 to 500
Let’s count together! Numbers help us count everything around us.
Counting by ones:
- 0, 1, 2, 3, 4, 5… 10… 50… 100… 200… 300… 400… 500
Important milestones:
- 100 is called one hundred
- 200 is called two hundred
- 300 is called three hundred
- 400 is called four hundred
- 500 is called five hundred
2. Place Value and Face Value
Every digit in a number has a special place and value!
Face Value
The face value is the digit itself, no matter where it sits in the number.
Examples:
- In 347, the face value of 4 is 4
- In 289, the face value of 8 is 8
- In 456, the face value of 5 is 5
Place Value
Place value tells us how much a digit is worth based on its position.
Remember:
- Hundreds place | Tens place | Ones place
Examples:
Number 234:
- 2 is in the hundreds place = 200
- 3 is in the tens place = 30
- 4 is in the ones place = 4
Number 485:
- 4 is in the hundreds place = 400
- 8 is in the tens place = 80
- 5 is in the ones place = 5
Number 109:
- 1 is in the hundreds place = 100
- 0 is in the tens place = 0
- 9 is in the ones place = 9
3. Expanded Form
Expanded form breaks a number into the value of each digit.
Examples:
- 256 = 200 + 50 + 6
- 378 = 300 + 70 + 8
- 420 = 400 + 20 + 0
- 163 = 100 + 60 + 3
- 495 = 400 + 90 + 5
Practice: Write 342 in expanded form. Answer: 342 = 300 + 40 + 2
4. Comparing Numbers
We use symbols to compare numbers:
- > means “greater than”
- < means “less than”
- = means “equal to”
Examples:
- 345 > 234 (345 is greater than 234)
- 167 < 289 (167 is less than 289)
- 400 = 400 (400 is equal to 400)
- 498 > 489
- 125 < 152
Tip: When comparing, look at the hundreds place first! If they’re the same, look at the tens place, then the ones place.
Compare 367 and 389:
- Both have 3 hundreds
- 6 tens is less than 8 tens
- So, 367 < 389
5. Increasing Order (Ascending Order)
Arranging numbers from smallest to largest.
Examples:
Arrange these numbers: 234, 145, 389, 267 Answer: 145, 234, 267, 389
Arrange these numbers: 456, 123, 489, 201 Answer: 123, 201, 456, 489
Arrange these numbers: 350, 305, 335, 353 Answer: 305, 335, 350, 353
6. Decreasing Order (Descending Order)
Arranging numbers from largest to smallest.
Examples:
Arrange these numbers: 234, 145, 389, 267 Answer: 389, 267, 234, 145
Arrange these numbers: 456, 123, 489, 201 Answer: 489, 456, 201, 123
Arrange these numbers: 412, 421, 214, 241 Answer: 421, 412, 241, 214
7. Odd and Even Numbers
Even numbers end in 0, 2, 4, 6, or 8 Odd numbers end in 1, 3, 5, 7, or 9
Examples of Even Numbers up to 500:
- 124, 256, 378, 400, 482, 500
Examples of Odd Numbers up to 500:
- 135, 247, 369, 411, 473, 499
Try it yourself!
- Is 346 odd or even? Even (ends in 6)
- Is 287 odd or even? Odd (ends in 7)
- Is 450 odd or even? Even (ends in 0)
8. Skip Counting
Skip counting means counting by jumping over numbers!
Skip Counting by 2s (Even numbers)
100, 102, 104, 106, 108, 110… 200, 202, 204… 496, 498, 500
Skip Counting by 5s
100, 105, 110, 115, 120, 125, 130… 200, 205, 210… 490, 495, 500
Skip Counting by 10s
100, 110, 120, 130, 140, 150… 200, 210, 220… 490, 500
Skip Counting by 100s
100, 200, 300, 400, 500
Try it yourself! Continue the pattern:
- 150, 160, 170, ___, ___, ___
- Answer: 180, 190, 200
9. Forming Numbers
Making the Largest Number
To make the largest number, arrange the digits from biggest to smallest.
Examples:
Digits: 4, 2, 7 Largest number: 742
Digits: 3, 8, 1 Largest number: 831
Digits: 5, 0, 9 Largest number: 950
Digits: 6, 2, 4, 1 (Making a 3-digit number) Largest number: 642
Making the Smallest Number
To make the smallest number, arrange the digits from smallest to biggest. If there’s a zero, don’t put it first!
Examples:
Digits: 4, 2, 7 Smallest number: 247
Digits: 3, 8, 1 Smallest number: 138
Digits: 5, 0, 9 Smallest number: 059 = 59 (But for a 3-digit number: 509)
Digits: 6, 2, 4, 1 (Making a 3-digit number) Smallest number: 124
Remember: We don’t start numbers with 0, so 059 becomes 59, or if we need a 3-digit number, the smallest would be 509.
Remember!
- Numbers up to 500 have three digits (except numbers below 100)
- The first digit shows hundreds, the second shows tens, the third shows ones
- We can arrange numbers in order, compare them, and make new numbers from digits
- Even numbers are friendly with 2, 4, 6, 8, 0
- Odd numbers are friendly with 1, 3, 5, 7, 9
- Keep practicing, and you’ll become a number master!
Great job learning about numbers up to 500! Keep counting and exploring! 🌟
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Note: This chapter and the worksheet is for revising the numbers 0-500 and the related exercises of skip counting, sequencing numbers, number names, odd and even, increasing and decreasing order, etc.
Make sure that you have attempted the worksheets related to that before attempting this worksheet.
