Put numbers in order

key notes :

🎁Understanding Sequence:

Numbers have a natural order from smallest to largest (ascending order) and from largest to smallest (descending order).

✨Comparing Numbers:

Comparing numbers involves determining their relative sizes or order. Here are the basic comparison operators used in mathematics and programming

🎊Greater Than (>): This operator returns true if the number on the left is greater than the number on the right.

Example: 5>3 is true because 5 is greater than 3.

🎊Less Than (<): This operator returns true if the number on the left is less than the number on the right.

Example: 2<4 is true because 2 is less than 4.

🎇Numbers in order based on their place value:

Comparing numbers based on place values involves looking at each digit in the numbers and determining their relative values according to their positional placement (units, tens, hundreds, etc.)

  1. Identify the place values: For example, in the number 456:
    • The digit 6 is in the ones place
    • The digit 5 is in the tens place .
    • The digit 4 is in the hundreds place
  1. Compare digit by digit from left to right: Start comparing from the leftmost digit (most significant digit) to the rightmost digit (least significant digit).
  1. Compare each pair of digits:
    • Begin with the most significant digit (leftmost). If one number has a higher digit in that place than the other, then that number is greater.
    • If the digits are the same, move to the next less significant place (to the right) and compare those digits.
    • Continue this process until you find digits that are different or until you have compared all digits (if they are equal up to the last place).

Learn with an example

👉Let’s try an example. Put these numbers in order from least to greatest.

241, 28, 248

🥏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

📢 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.

📢 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!