Number Line and Comparing Numbers

🎬 Video: Understanding Number Lines

What is a Number Line? (0:01)

A number line is a straight line where numbers are placed in order.

  • Zero is at the center, it is called the origin.
  • Numbers to the right of 0 are positive numbers (1, 2, 3, …).
  • Numbers to the left of 0 are negative numbers (-1, -2, -3, …).

 

✅ Key Facts of a Number Line:

  • The further right you move, the bigger the numbers get.
  • Numbers are spaced at equal intervals on the line.
    • The gap between numbers can be 1, 10, 100, or any amount, but it must stay the same across the whole line.

What are Inequality Symbols? (0:57)

Inequality symbols are used to compare two numbers or quantities.

  • Greater than ($>$):
    Example: $20 > 12$ (20 is greater than 12)

  • Less than ($<$):
    Example: $20 < 38$ (20 is less than 38)

  • Greater than or equal to ($\geq$):
    Example: $20 \geq 12$ (20 is greater than or equal to 12)

  • Less than or equal to ($\leq$):
    Example: $20 \leq 20$ (20 is less than or equal to 20)

    • This means 20 is either smaller than or exactly equal to 20. Since 20 equals 20, the statement is true.

 

💡 Tip to Remember Inequality Symbols 

The crocodile’s mouth always opens towards the bigger number, as it wants to eat the larger number!

How To Compare Numbers? (2:17)

When comparing positive numbers, follow these two simple rules:

 

🌟 Rule 1: Look at the number of digits

  • A number with more digits is always greater.
  • Example: $1001 > 998$ (1001 has 4 digits, 998 has 3 digits.)

 

🌟 Rule 2: Compare digits from left to right

  • If the numbers have the same number of digits, compare each digit one by one, starting from the left.
  • The first bigger digit you find decides which number is greater.
  • Example: $6749 < 6784$ (Compare: 6 = 6, 7 = 7, 4 < 8 → so 6749 is smaller than 6784. The rest digits do not matter.)

📂 Flashcards: Inequality Symbols and Comparing

🍪 Quiz: Practice with Number Lines and Inequalities

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Number Line and Comparing Numbers

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Q: Write the inequality for this statement: "5 is less than or equal to 8."

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Q: Place 0, 10, -20, and -30 on a number line, which number is furthest to the left?

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Q: Write the inequality for this statement: "25 is greater than or equal to 16."

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Q: True or False: $12 \geq 12$.

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Q: Identify the greater number between 213 and 321

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Q: Which is greater: 3,459 or 3,498?

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