To solve these problems, we need to arrange the numbers from smallest to largest (ascending order). We do this by looking at the digits from left to right.
Step 1: Compare the first set: 72541, 72638, 72605
* All start with
72.
* Look at the hundreds place:
* 72
541 has a 5.
* 72
638 has a 6.
* 72
605 has a 6.
* Since 5 is smaller than 6,
72541 is the smallest.
* Now compare the remaining two: 72638 and 72605. They both start with
726.
* Look at the tens place:
* 726
38 has a 3.
* 726
05 has a 0.
* Since 0 is smaller than 3,
72605 comes next, and
72638 is the largest.
* Order: 72541 < 72605 < 72638
Step 2: Compare the second set: 58392, 41726, 90584
* Look at the ten-thousands place (the first digit):
*
58392 starts with 5.
*
41726 starts with 4.
*
90584 starts with 9.
* 4 is the smallest, then 5, then 9.
* Order: 41726 < 58392 < 90584
Step 3: Compare the third set: 89307, 89123, 89215
* All start with
89.
* Look at the hundreds place:
* 89
307 has a 3.
* 89
123 has a 1.
* 89
215 has a 2.
* Order the hundreds digits: 1, 2, 3.
* Order: 89123 < 89215 < 89307
Step 4: Compare the fourth set: 65489, 23017, 87643
* Look at the first digit:
*
65489 starts with 6.
*
23017 starts with 2.
*
87643 starts with 8.
* 2 is the smallest, then 6, then 8.
* Order: 23017 < 65489 < 87643
Step 5: Compare the fifth set: 62103, 61927, 62014
* All start with
6.
* Look at the thousands place:
* 6
2103 has a 2.
* 6
1927 has a 1.
* 6
2014 has a 2.
* The number with 1 in the thousands place is the smallest:
61927.
* Now compare the remaining two: 62103 and 62014. They both start with
62.
* Look at the hundreds place:
* 62
103 has a 1.
* 62
014 has a 0.
* 0 is smaller than 1, so
62014 comes next.
* Order: 61927 < 62014 < 62103
Step 6: Compare the sixth set: 50821, 74936, 36294
* Look at the first digit:
*
50821 starts with 5.
*
74936 starts with 7.
*
36294 starts with 3.
* 3 is the smallest, then 5, then 7.
* Order: 36294 < 50821 < 74936
Final Answer:
72541 < 72605 < 72638
41726 < 58392 < 90584
89123 < 89215 < 89307
23017 < 65489 < 87643
61927 < 62014 < 62103
36294 < 50821 < 74936
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet grade 5.
