Ordering numbers up to 1 million worksheet with six exercises for arranging numbers in ascending order.
Worksheet titled "Ordering numbers up to 1 million" with six sets of numbers to be arranged from smallest to largest.
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Step-by-step solution for: Order numbers to 1 million - Exercise 1 - Your Home Teacher
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Show Answer Key & Explanations
Step-by-step solution for: Order numbers to 1 million - Exercise 1 - Your Home Teacher
Sure! Let’s solve the problem step by step.
The task is to order each set of 4 numbers from smallest to largest (ascending order). All numbers are under 1 million, so we compare them digit by digit from left to right (starting with the highest place value — hundred thousands, then ten thousands, etc.).
---
Numbers: 530,963 | 906,783 | 663,460 | 575,486
Step-by-step comparison:
- Look at the hundred thousands digit:
- 530,963 → 5
- 906,783 → 9
- 663,460 → 6
- 575,486 → 5
So smallest group: those starting with 5 → 530,963 and 575,486
Then 6 → 663,460
Then 9 → 906,783
Now compare the two starting with 5:
- 530,963 vs 575,486 → look at ten thousands digit:
- 3 vs 7 → 3 is smaller → so 530,963 < 575,486
✔ Order:
530,963 — 575,486 — 663,460 — 906,783
---
Numbers: 450,420 | 918,802 | 494,432 | 248,918
Hundred thousands digit:
- 450,420 → 4
- 918,802 → 9
- 494,432 → 4
- 248,918 → 2 → smallest
So 248,918 is first.
Now compare the two starting with 4:
- 450,420 vs 494,432 → look at ten thousands digit:
- 5 vs 9 → 5 is smaller → 450,420 < 494,432
Then 918,802 is last.
✔ Order:
248,918 — 450,420 — 494,432 — 918,802
---
Numbers: 52,532 | 877,033 | 788,522 | 769,412
Note: 52,532 is only 5 digits → it’s much smaller than the others (which are 6-digit numbers).
So 52,532 is smallest.
Now compare the three 6-digit numbers:
- 877,033 → starts with 8
- 788,522 → starts with 7
- 769,412 → starts with 7
So 877,033 is largest among these.
Now compare 788,522 and 769,412:
Both start with 7 → look at ten thousands digit:
- 8 vs 6 → 6 is smaller → so 769,412 < 788,522
✔ Order:
52,532 — 769,412 — 788,522 — 877,033
---
Numbers: 280,346 | 181,436 | 78,565 | 892,337
Again, 78,565 is 5-digit → smallest.
Others are 6-digit:
- 280,346 → 2
- 181,436 → 1
- 892,337 → 8
So smallest 6-digit is 181,436 (starts with 1), then 280,346 (starts with 2), then 892,337 (starts with 8)
✔ Order:
78,565 — 181,436 — 280,346 — 892,337
---
Numbers: 368,942 | 497,571 | 635,558 | 910,915
All 6-digit numbers.
Compare hundred thousands:
- 3 → 368,942
- 4 → 497,571
- 6 → 635,558
- 9 → 910,915
Already in ascending order by first digit!
✔ Order:
368,942 — 497,571 — 635,558 — 910,915
---
Numbers: 249,698 | 476,953 | 235,983 | 517,754
Hundred thousands:
- 249,698 → 2
- 476,953 → 4
- 235,983 → 2
- 517,754 → 5
So 2s first: 249,698 and 235,983
Compare them:
- Both start with 2 → look at ten thousands: 4 vs 3 → 3 is smaller → 235,983 < 249,698
Then 476,953, then 517,754
✔ Order:
235,983 — 249,698 — 476,953 — 517,754
---
## ✔ Final Answer (Fill in the blanks):
530,963 — 575,486 — 663,460 — 906,783
248,918 — 450,420 — 494,432 — 918,802
52,532 — 769,412 — 788,522 — 877,033
78,565 — 181,436 — 280,346 — 892,337
368,942 — 497,571 — 635,558 — 910,915
235,983 — 249,698 — 476,953 — 517,754
---
📌 Tip: When ordering large numbers, always start comparing from the leftmost digit (highest place value). If digits are equal, move to the next digit to the right until you find a difference.
Let me know if you’d like a visual chart or printable version! 😊
The task is to order each set of 4 numbers from smallest to largest (ascending order). All numbers are under 1 million, so we compare them digit by digit from left to right (starting with the highest place value — hundred thousands, then ten thousands, etc.).
---
🔢 Set ①:
Numbers: 530,963 | 906,783 | 663,460 | 575,486
Step-by-step comparison:
- Look at the hundred thousands digit:
- 530,963 → 5
- 906,783 → 9
- 663,460 → 6
- 575,486 → 5
So smallest group: those starting with 5 → 530,963 and 575,486
Then 6 → 663,460
Then 9 → 906,783
Now compare the two starting with 5:
- 530,963 vs 575,486 → look at ten thousands digit:
- 3 vs 7 → 3 is smaller → so 530,963 < 575,486
✔ Order:
530,963 — 575,486 — 663,460 — 906,783
---
🔢 Set ②:
Numbers: 450,420 | 918,802 | 494,432 | 248,918
Hundred thousands digit:
- 450,420 → 4
- 918,802 → 9
- 494,432 → 4
- 248,918 → 2 → smallest
So 248,918 is first.
Now compare the two starting with 4:
- 450,420 vs 494,432 → look at ten thousands digit:
- 5 vs 9 → 5 is smaller → 450,420 < 494,432
Then 918,802 is last.
✔ Order:
248,918 — 450,420 — 494,432 — 918,802
---
🔢 Set ③:
Numbers: 52,532 | 877,033 | 788,522 | 769,412
Note: 52,532 is only 5 digits → it’s much smaller than the others (which are 6-digit numbers).
So 52,532 is smallest.
Now compare the three 6-digit numbers:
- 877,033 → starts with 8
- 788,522 → starts with 7
- 769,412 → starts with 7
So 877,033 is largest among these.
Now compare 788,522 and 769,412:
Both start with 7 → look at ten thousands digit:
- 8 vs 6 → 6 is smaller → so 769,412 < 788,522
✔ Order:
52,532 — 769,412 — 788,522 — 877,033
---
🔢 Set ④:
Numbers: 280,346 | 181,436 | 78,565 | 892,337
Again, 78,565 is 5-digit → smallest.
Others are 6-digit:
- 280,346 → 2
- 181,436 → 1
- 892,337 → 8
So smallest 6-digit is 181,436 (starts with 1), then 280,346 (starts with 2), then 892,337 (starts with 8)
✔ Order:
78,565 — 181,436 — 280,346 — 892,337
---
🔢 Set ⑤:
Numbers: 368,942 | 497,571 | 635,558 | 910,915
All 6-digit numbers.
Compare hundred thousands:
- 3 → 368,942
- 4 → 497,571
- 6 → 635,558
- 9 → 910,915
Already in ascending order by first digit!
✔ Order:
368,942 — 497,571 — 635,558 — 910,915
---
🔢 Set ⑥:
Numbers: 249,698 | 476,953 | 235,983 | 517,754
Hundred thousands:
- 249,698 → 2
- 476,953 → 4
- 235,983 → 2
- 517,754 → 5
So 2s first: 249,698 and 235,983
Compare them:
- Both start with 2 → look at ten thousands: 4 vs 3 → 3 is smaller → 235,983 < 249,698
Then 476,953, then 517,754
✔ Order:
235,983 — 249,698 — 476,953 — 517,754
---
## ✔ Final Answer (Fill in the blanks):
Set ①:
530,963 — 575,486 — 663,460 — 906,783
Set ②:
248,918 — 450,420 — 494,432 — 918,802
Set ③:
52,532 — 769,412 — 788,522 — 877,033
Set ④:
78,565 — 181,436 — 280,346 — 892,337
Set ⑤:
368,942 — 497,571 — 635,558 — 910,915
Set ⑥:
235,983 — 249,698 — 476,953 — 517,754
---
📌 Tip: When ordering large numbers, always start comparing from the leftmost digit (highest place value). If digits are equal, move to the next digit to the right until you find a difference.
Let me know if you’d like a visual chart or printable version! 😊
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet millions.