To order numbers from smallest to largest (ascending order), we look at how many digits each number has first. Numbers with fewer digits are always smaller than numbers with more digits. If two numbers have the same number of digits, we compare them starting from the left-most digit.
Here is the step-by-step solution for each part:
i) 254 135, 148 685, 96 455
*
Count digits:
* 96 455 has 5 digits.
* 254 135 has 6 digits.
* 148 685 has 6 digits.
* The 5-digit number is the smallest:
96 455.
* Now compare the two 6-digit numbers: 254 135 and 148 685.
* Look at the first digit: 2 vs 1. Since 1 is smaller than 2, 148 685 comes next.
*
Order: 96 455, 148 685, 254 135
ii) 89 889, 435 195, 1 000 001
*
Count digits:
* 89 889 has 5 digits.
* 435 195 has 6 digits.
* 1 000 001 has 7 digits.
* Fewer digits means smaller number.
*
Order: 89 889, 435 195, 1 000 001
iii) 100 100 001, 225 896, 99 115 496
*
Count digits:
* 225 896 has 6 digits.
* 99 115 496 has 8 digits.
* 100 100 001 has 9 digits.
*
Order: 225 896, 99 115 496, 100 100 001
iv) 88 494 200, 88 999, 87 999 111
*
Count digits:
* 88 999 has 5 digits.
* 87 999 111 has 8 digits.
* 88 494 200 has 8 digits.
* The 5-digit number is smallest:
88 999.
* Compare the two 8-digit numbers: 87 999 111 and 88 494 200.
* First digit is 8 for both.
* Second digit: 7 vs 8. Since 7 is smaller, 87 999 111 comes next.
*
Order: 88 999, 87 999 111, 88 494 200
v) 35 000 000, 89 888 888, 100 222 000, 99 550 426
*
Count digits:
* 35 000 000 has 8 digits.
* 89 888 888 has 8 digits.
* 99 550 426 has 8 digits.
* 100 222 000 has 9 digits.
* The 9-digit number is the largest:
100 222 000.
* Compare the three 8-digit numbers: 35..., 89..., 99...
* Look at the first digit: 3 < 8 < 9.
* So, 35 000 000 is smallest, then 89 888 888, then 99 550 426.
*
Order: 35 000 000, 89 888 888, 99 550 426, 100 222 000
vi) 385 195 295, 298 555 764, 498 198 790, 789 654 123
*
Count digits: All numbers have 9 digits.
* Compare the first digit (hundred-millions place):
* 385... starts with 3
* 298... starts with 2
* 498... starts with 4
* 789... starts with 7
* Order the first digits: 2 < 3 < 4 < 7.
*
Order: 298 555 764, 385 195 295, 498 198 790, 789 654 123
Final Answer:
i) 96 455, 148 685, 254 135
ii) 89 889, 435 195, 1 000 001
iii) 225 896, 99 115 496, 100 100 001
iv) 88 999, 87 999 111, 88 494 200
v) 35 000 000, 89 888 888, 99 550 426, 100 222 000
vi) 298 555 764, 385 195 295, 498 198 790, 789 654 123
Parent Tip: Review the logic above to help your child master the concept of ordering whole numbers worksheet year.
