Comparing Whole Numbers

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In this lesson, we learned how to compare whole numbers using the greater than (>), less than (<), and equal to (=) symbols. The process involves examining the digits from the highest place value down to determine which number is larger or if they are equal. We also explored scenarios where numbers have the same highest place value and how to compare them accordingly.
  1. What does the greater than symbol (>) mean?
  2. How do we know which number is bigger when we compare them?
  3. What do we write if two numbers are the same?

Comparing Whole Numbers

Let’s learn how to compare whole numbers using some special symbols:

  • The greater than symbol (>) means “more than.”
  • The less than symbol (<) means “less than.”
  • The equal to symbol (=) means “the same as.”

How to Compare Numbers

When we compare two numbers, we look at the biggest place value first. Let’s see how it works with some examples:

Example 1: Comparing 38 and 12

Look at the tens place:

  • 3 (in 38) is more than 1 (in 12).
  • So, 38 is greater than 12.
  • We write it as: 38 > 12.
Example 2: Comparing 245 and 137

Look at the hundreds place:

  • 2 (in 245) is more than 1 (in 137).
  • So, 245 is greater than 137.
  • We write it as: 245 > 137.
Example 3: Comparing 10 and 25

Look at the tens place:

  • 1 (in 10) is less than 2 (in 25).
  • So, 10 is less than 25.
  • We write it as: 10 < 25.
Example 4: Comparing 389 and 456

Look at the hundreds place:

  • 3 (in 389) is less than 4 (in 456).
  • So, 389 is less than 456.
  • We write it as: 389 < 456.

What if the Biggest Place Value is the Same?

If the biggest place value is the same, we look at the next place value:

Example 5: Comparing 48 and 41

Look at the tens place:

  • 4 (in both numbers) is the same, so we look at the ones place.
  • 8 (in 48) is more than 1 (in 41).
  • So, 48 is greater than 41.
  • We write it as: 48 > 41.
Example 6: Comparing 346 and 379

Look at the hundreds place:

  • 3 (in both numbers) is the same, so we look at the tens place.
  • 4 (in 346) is less than 7 (in 379).
  • So, 346 is less than 379.
  • We write it as: 346 < 379.
Example 7: Comparing 508 and 502

Look at the hundreds place:

  • 5 (in both numbers) is the same, so we look at the tens place.
  • 0 (in both numbers) is the same, so we look at the ones place.
  • 8 (in 508) is more than 2 (in 502).
  • So, 508 is greater than 502.
  • We write it as: 508 > 502.

What if All the Numbers are the Same?

If all the numbers are the same, we use the equal to symbol:

Example 8: Comparing 35 and 35
  • Both numbers are the same.
  • So, 35 is equal to 35.
  • We write it as: 35 = 35.
Example 9: Comparing 412 and 412
  • All the numbers are the same.
  • So, 412 is equal to 412.
  • We write it as: 412 = 412.

What if the Numbers Have Different Place Values?

If the numbers have different place values, the number with the higher place value is greater:

Example 10: Comparing 145 and 42
  • 145 has a hundreds place, but 42 does not.
  • So, 145 is greater than 42.
  • We write it as: 145 > 42.
Example 11: Comparing 76 and 100
  • 100 has a hundreds place, but 76 does not.
  • So, 76 is less than 100.
  • We write it as: 76 < 100.

Now you know how to compare whole numbers using these symbols. Keep practicing, and you’ll get even better at it!

  • Can you think of a time when you had to decide which of two things was more or less? How did you figure it out?
  • Look around your home or classroom. Can you find two things to compare using the greater than, less than, or equal to symbols? What did you discover?
  • Why do you think it’s important to know how to compare numbers? Can you think of a situation where this skill might be useful?
  1. Number Hunt: Go on a number hunt around your home or classroom. Find different numbers on items like books, clocks, or calendars. Write down two numbers you find and compare them using the greater than, less than, or equal to symbols. Share your findings with a friend or family member and explain why one number is greater, less, or equal to the other.

  2. Number Line Adventure: Draw a number line on a piece of paper or use a ruler as a number line. Pick two numbers between 1 and 100 and place them on the number line. Use the greater than, less than, or equal to symbols to compare the numbers. Discuss with a partner why the number on the right is greater than the number on the left.

  3. Place Value Puzzles: Create your own number puzzles by writing down two numbers with missing digits (e.g., 3_5 and 3_9). Ask a friend to fill in the blanks with numbers that make one number greater than, less than, or equal to the other. Swap puzzles with a friend and solve each other’s puzzles, explaining your reasoning.

Here’s a sanitized version of the provided YouTube transcript:

**Comparing Whole Numbers**

To compare whole numbers, we use one of three symbols:

– The greater than symbol (>) means “greater than” or “more than.”
– The less than symbol ( 12.

Now, let’s compare 245 and 137:
– The highest place value is in the hundreds column.
– Since 2 (in 245) is greater than 1 (in 137), we conclude that 245 is greater than 137.
– Thus, we write: 245 > 137.

Next, we compare 10 and 25:
– The first number is 10, and the second number is 25.
– Since 1 (in 10) is less than 2 (in 25), we conclude that 10 is less than 25.
– Therefore, we write: 10 < 25. Now, let's compare 389 and 456: – The highest place value is in the hundreds column. – Since 3 (in 389) is less than 4 (in 456), we conclude that 389 is less than 456. – Thus, we write: 389 41.

Now, let’s compare 346 and 379:
– The highest place value is in the hundreds column.
– Since 3 (in both numbers) is the same, we look to the tens column.
– Since 4 (in 346) is less than 7 (in 379), we conclude that 346 is less than 379.
– Thus, we write: 346 502.

If the numbers in all of the place values are the same, we use the equal to symbol.

For example, comparing 35 and 35:
– Since both digits are the same, we conclude that 35 is equal to 35.
– Thus, we write: 35 = 35.

Now, let’s compare 412 and 412:
– Since all digits are the same, we conclude that 412 is equal to 412.
– Therefore, we write: 412 = 412.

If the numbers have different place values, the number with the higher place value is greater.

For example, comparing 145 and 42:
– The first number has a hundreds column, while the second number does not.
– Therefore, we conclude that 145 is greater than 42.
– Thus, we write: 145 > 42.

Finally, let’s compare 76 and 100:
– The second number has a hundreds column, while the first number does not.
– Therefore, we conclude that 76 is less than 100.
– Thus, we write: 76 < 100. — This version maintains the educational content while removing any informal or repetitive language.

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