Place Values

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In this lesson, students learn about place value, which helps them understand the significance of each digit in a number, particularly in two-digit numbers where the tens and ones places are crucial. By grasping place value, students can effectively compare whole numbers using symbols for greater than, less than, and equal to, enabling them to determine which numbers are larger or smaller based on their digit placements.
  1. What are the two important places in a two-digit number?
  2. How can we tell if one number is bigger or smaller than another number?
  3. What do the symbols >, <, and = mean when we compare numbers?

Understanding Place Value and Comparing Whole Numbers

Let’s learn about numbers and how we can tell which ones are bigger or smaller. To do this, we need to understand something called place value.

What is Place Value?

Every number has different places for its digits. In a two-digit number, there are two important places: the tens place and the ones place.

For example, in the number 37, the number 3 is in the tens place. This means there are three groups of ten. The number 7 is in the ones place, which means there are seven ones.

Let’s look at another number: 29. Here, the number 2 is in the tens place, so there are two groups of ten. The number 9 is in the ones place, meaning there are nine ones.

Comparing Whole Numbers

Now that we know about place value, we can compare numbers to see which is bigger or smaller. We use special symbols to help us:

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

Let’s compare some numbers:

Look at 45 and 19. First, check the tens place. The number 4 in 45 is bigger than the number 1 in 19. So, we say 45 > 19.

Now you try saying it: 45 is greater than 19.

Let’s try another one: 22 and 83. The number 2 in 22 is less than the number 8 in 83. So, we say 22 < 83.

Now you try saying it: 22 is less than 83.

What if the tens place is the same? Look at 12 and 17. Both have a 1 in the tens place, so we check the ones place. The number 2 is less than 7, so we say 12 < 17.

Now you try saying it: 12 is less than 17.

Here’s another one: 34 and 31. Both have a 3 in the tens place. In the ones place, 4 is greater than 1, so we say 34 > 31.

Now you try saying it: 34 is greater than 31.

If both the tens and ones places are the same, the numbers are equal. For example, 51 and 51 are the same, so we say 51 = 51.

Now you try saying it: 51 is equal to 51.

Great job learning about place value and comparing numbers! Keep practicing, and you’ll become a number expert in no time!

  • Can you think of a time when you had to decide which number was bigger or smaller? How did you figure it out?
  • Imagine you have a group of ten toys and some extra ones. How would you use place value to tell someone how many toys you have?
  • Why do you think it’s important to know which number is greater or less when you are playing games or doing activities with friends?
  1. Place Value Hunt: Go on a number hunt around your house! Look for numbers on clocks, books, or even food packages. Write down three two-digit numbers you find. For each number, identify the digit in the tens place and the digit in the ones place. Can you say how many groups of ten and how many ones are in each number?

  2. Number Comparison Game: With a friend or family member, each of you pick a two-digit number. Write your numbers on a piece of paper. Compare your numbers by looking at the tens place first. Use the greater than (>), less than (<), or equal to (=) symbols to show which number is bigger, smaller, or if they are the same. Take turns and see who can find the bigger number!

  3. Build Your Own Numbers: Use small objects like blocks or coins to build numbers. For example, to make the number 37, use three groups of ten objects and seven single objects. Once you’ve built your number, try building another number and compare them. Which number has more groups of ten? Which has more ones?

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

**Understanding Place Value and Comparing Whole Numbers**

Before we can compare whole numbers, we must understand place value. Each digit in a two-digit number has its own place value.

For example, in the number 37, the digit on the left, which is 3, is in the tens place. This tells us that there are three groups of ten. The digit on the right, which is 7, is in the ones place, indicating that there are seven ones.

Now, let’s look at a different number: 29. The digit in the tens place is 2, meaning there are two groups of ten. The digit in the ones place is 9, indicating there are nine ones.

Now that we understand place value, let’s learn how to compare 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 ( 19.

Now you try saying it: 45 is greater than 19.

Let’s try another example: 22 and 83. The digit in the tens place of 22 is 2, which is less than 8 in 83. Thus, we say 22 < 83. Now you try saying it: 22 is less than 83. If the digits in the tens place are the same, we then look at the ones place. For instance, comparing 12 and 17, the tens place is the same (1), so we look at the ones place. Since 2 is less than 7, we conclude that 12 31.

Now you try saying it: 34 is greater than 31.

If both the digits in the tens place and the ones place are the same, then the numbers are equal. For example, comparing 51 and 51, both the tens and ones places are the same. Therefore, we say 51 = 51.

Now you try saying it: 51 is equal to 51.

This version maintains the educational content while removing any informal or repetitive phrasing.

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