Put numbers in order
key notes :
Learning Objective: |
- To understand how to arrange numbers in ascending and descending order.
π Key Vocabulary: |
Word | Meaning |
---|---|
Ascending | Arranging numbers from smallest to largest. (Going up) |
Descending | Arranging numbers from largest to smallest. (Going down) |
Order | Putting numbers in a correct sequence based on their value. |
Compare | Looking at numbers to see which is greater or smaller. |
π§ Concept Explanation: |
β Ascending Order: |
Numbers are arranged from smallest to biggest.
Think of climbing stairs or counting up.
Example:
- Numbers: 45, 12, 78, 33
- Ascending Order: 12, 33, 45, 78
β Descending Order: |
Numbers are arranged from biggest to smallest.
Think of coming down stairs or counting down.
Example:
- Numbers: 90, 18, 63, 44
- Descending Order: 90, 63, 44, 18
π Steps to Put Numbers in Order: |
- Look at the digits (start from the leftmost digit).
- Compare the numbers.
- Arrange them from smallest to largest (ascending) or largest to smallest (descending).
- Double-check the order.
βοΈ Practice Questions: |
πΉ Ascending Order:
Arrange these numbers in ascending order:
- 67, 23, 89, 45 β Answer: 23, 45, 67, 89
πΉ Descending Order:
Arrange these numbers in descending order:
- 56, 90, 12, 37 β Answer: 90, 56, 37, 12
πΌοΈ Visual Example: |
Number Line (Helpful for ascending order):
lua0 ----10----20----30----40----50----60----70----80----90----100
If you move right, numbers are getting bigger β Ascending
If you move left, numbers are getting smaller β Descending
π² Fun Tip: |
Use real-life examples like:
- Your test scores
- Number of fruits in baskets
- Number of pages in books
β Remember: |
- Small to big = Ascending
- Big to small = Descending
- Always check each digit carefully!
Learn with an example
πLet’s try an example. Put these numbers in order from least to greatest.
241, 28, 248
π₯First, find the least number. Notice that 28 does not have any hundreds.
The least number is 28.
The numbers 241 and 248 are left. Compare the digits in each place, starting at the greatest place value.
241 is less than 248.
So, here are the numbers in order from least to greatest:
28, 241, 248
π’ If you arrange these numbers from largest to smallest, which number will come fourth?
- 28
- 41
- 12
- 88
Put the numbers in order from largest to smallest. First, find the largest number. The largest number is the one that comes last when counting. The largest number is 88. 88 comes first in the answer.
The numbers 28, 41, and 12 are left. Find the largest of these numbers. The largest number is 41. 41 comes next in the answer.
The numbers 28 and 12 are left. Find the larger number. The larger number is 28. 28 comes next in the answer. 12 comes last in the answer.
Now write the numbers in order, from largest to smallest:
88 > 41 > 28 > 12
Find the fourth number. The fourth number is 12.
π’ If you arrange these numbers from smallest to largest, which number will come first?
- 88
- 16
- 85
- 86
Put the numbers in order from smallest to largest. First, find the smallest number. The smallest number is the one that comes first when counting. The smallest number is 16. 16 comes first in the answer.
The numbers 88, 85, and 86 are left. Find the smallest of these numbers. The smallest number is 85. 85 comes next in the answer.
The numbers 88 and 86 are left. Find the smaller number. The smaller number is 86. 86 comes next in the answer. 88 comes last in the answer.
Now write the numbers in order, from smallest to largest:
16 < 85 < 86 < 88
Find the first number. The first number is 16.
Let’s practice!