Introduction

Hello, Year 6! Today, we are going to learn about ordering and comparing numbers. This is an important skill that helps us understand the value of numbers and how they relate to each other. Let’s break it down step-by-step!

What Does Ordering and Comparing Mean?

Ordering numbers means arranging them in a specific sequence, usually from the smallest to the largest (ascending) or from the largest to the smallest (descending).

Comparing numbers means looking at two or more numbers to see which is bigger, smaller, or if they are the same.

Key Rules

  1. Place Value: The place value of a digit in a number determines its value. For example, in the number 456, the ‘4’ is in the hundreds place, so it is worth 400.
  2. Using Symbols:
    • Greater than (>): Means one number is larger than another. Example: ( 7 > 5 )
    • Less than (<): Means one number is smaller than another. Example: ( 3 < 9 )
    • Equal to (=): Means both numbers are the same. Example: ( 8 = 8 )
  3. Comparing Multi-Digit Numbers:
    • Look at the leftmost digits first.
    • If they are the same, move to the next digit to the right.

Tips and Tricks

  • Use a Number Line: A number line can help you visually see which numbers are larger or smaller.
  • Break Down Big Numbers: For larger numbers, break them down into groups (thousands, hundreds, tens, and units).
  • Practice with Real-Life Examples: Use things around you, like ages, prices, or scores, to practice comparing.

Examples

  1. Ordering: Arrange the numbers 23, 5, and 12 in ascending order.
    • Answer: 5, 12, 23
  2. Comparing: Which is greater, 45 or 30?
    • Answer: 45 is greater than 30, so ( 45 > 30 ).
  3. Using Place Value: Compare 782 and 798.
    • First digit is 7 for both. Look at the next digit: 8 vs 9. So, ( 782 < 798 ).

Questions

Easy Level Questions

  1. Which is bigger: 10 or 7?
  2. Order these numbers from smallest to largest: 2, 5, 1.
  3. Compare 14 and 14.
  4. Which is smaller: 30 or 50?
  5. Order these numbers: 8, 3, 1.
  6. Is 12 greater than 9?
  7. Compare the numbers 25 and 20.
  8. What is the smallest number: 6, 4, or 5?
  9. Order these numbers: 15, 10, 20.
  10. Which is equal: 30 and 30?
  11. Compare 3 and 2.
  12. Order these numbers from largest to smallest: 5, 1, 3.
  13. Which is greater: 50 or 25?
  14. Compare 42 and 45.
  15. Order these numbers: 9, 2, 12.
  16. Is 100 less than 150?
  17. Compare the numbers 66 and 66.
  18. Which is smaller: 19 or 22?
  19. Order these numbers: 4, 8, 2.
  20. Is 7 equal to 7?

Medium Level Questions

  1. Order these numbers: 45, 12, 67, 34.
  2. Which is larger: 123 or 132?
  3. Compare 96 and 69.
  4. Order these decimal numbers: 1.5, 0.5, 2.0.
  5. Which is greater: 500 or 250?
  6. Order these numbers: 87, 56, 90, 72.
  7. Compare 1,234 and 1,432.
  8. Arrange in ascending order: 2.5, 2.2, 2.8.
  9. Compare 1000 and 999.
  10. Which is smaller: 3.3 or 3.5?
  11. Order these numbers: 150, 200, 75.
  12. Compare 60 and 60.
  13. Which is greater: 555 or 505?
  14. Order these numbers from smallest to largest: 2.1, 1.9, 2.0.
  15. Compare 2500 and 250.
  16. Which is smaller: 5000 or 5100?
  17. Order these numbers: 300, 900, 600.
  18. Compare 0.8 and 0.5.
  19. Which is greater: 3.14 or 3.1?
  20. Order these numbers: 8.5, 8.1, 8.9.

Hard Level Questions

  1. Compare 3,456 and 3,654.
  2. Order these numbers: 2,345, 2,234, 2,432.
  3. Which is larger: 2.75 or 2.7?
  4. Arrange in descending order: 15.6, 15.9, 15.2.
  5. Compare 123.45 and 123.54.
  6. Order these fractions: ( \frac{1}{4}, \frac{1}{2}, \frac{1}{8} ).
  7. Which is greater: 10,000 or 9,999?
  8. Order these numbers: 987, 876, 789.
  9. Compare 200 and 2000.
  10. Which is smaller: 0.25 or 0.3?
  11. Order these numbers from smallest to largest: 0.5, 1.5, 0.75.
  12. Compare 1,000,000 and 999,999.
  13. Which is greater: ( \frac{3}{4} ) or ( \frac{2}{3} )?
  14. Order these percentages: 50%, 25%, 75%.
  15. Compare 1.005 and 1.05.
  16. Which is smaller: 500.5 or 500.05?
  17. Order these numbers: 0.1, 0.01, 0.001.
  18. Compare ( \sqrt{16} ) and ( \sqrt{25} ).
  19. Which is greater: 3.14159 or 3.14?
  20. Order these large numbers: 12,345, 1,234, 123,456.

Answers

Easy Level Answers

  1. 10
  2. 1, 2, 5
  3. 14 = 14
  4. 30
  5. 1, 3, 8
  6. Yes
  7. 25 > 20
  8. 4
  9. 10, 15, 20
  10. 30 = 30
  11. 3 < 2
  12. 5, 3, 1
  13. 50 > 25
  14. 42 < 45
  15. 2, 9, 12
  16. Yes
  17. 66 = 66
  18. 19
  19. 2, 4, 8
  20. Yes

Medium Level Answers

  1. 12, 34, 45, 67
  2. 132
  3. 96 > 69
  4. 0.5, 1.5, 2.0
  5. 500
  6. 56, 72, 87, 90
  7. 1,234 < 1,432
  8. 2.2, 2.5, 2.8
  9. 1000 > 999
  10. 3.3
  11. 75, 150, 200
  12. 60 = 60
  13. 555 > 505
  14. 1.9, 2.0, 2.1
  15. 2500 > 250
  16. 5000 < 5100
  17. 300, 600, 900
  18. 0.8 > 0.5
  19. 3.14 > 3.1
  20. 8.1, 8.5, 8.9

Hard Level Answers

  1. 3,654 > 3,456
  2. 2,234, 2,345, 2,432
  3. 2.75
  4. 15.9, 15.6, 15.2
  5. 123.54
  6. ( \frac{1}{8} < \frac{1}{4} < \frac{1}{2} )
  7. 10,000
  8. 789, 876, 987
  9. 200 < 2000
  10. 0.25 < 0.3
  11. 0.5, 0.75, 1.5
  12. 1,000,000 > 999,999
  13. ( \frac{3}{4} > \frac{2}{3} )
  14. 25%, 50%, 75%
  15. 1.005 < 1.05
  16. 500.05 < 500.5
  17. 0.001, 0.01, 0.1
  18. ( \sqrt{16} < \sqrt{25} )
  19. 3.14159 > 3.14
  20. 1,234, 12,345, 123,456

I hope this helps you understand ordering and comparing numbers better! Keep practicing, and you’ll become a pro in no time!