Lesson 1 – Represent Numbers in the Thousands

• Objective: Review and practise representing and comparing numbers in the thousands.

Introductory Video

Introduction

Today, we’re going to learn how to represent and compare numbers in the thousands. We’ll also explore how to break down these numbers using something called “expanded form” and how to visualize them. Understanding numbers in the thousands is important for math, and it can be fun when you know how to do it!

Representing Numbers in the Thousands

1. What Does “Thousands” Mean?:
   • Numbers in the thousands range from 1,000 to 9,999. For example, 3,472 is a number in the thousands.
   • The first digit in the number tells us how many “thousands” there are. For example, in 3,472, the “3” is in the thousands place, meaning there are three thousand.
2. Place Value:
   • Each digit in a number has a place value. In a number like 4,825:
     • The 4 is in the thousands place.
     • The 8 is in the hundreds place.
     • The 2 is in the tens place.
     • The 5 is in the ones place.
   So, 4,825 is made up of 4,000 + 800 + 20 + 5.

Expanded Form

1. What is Expanded Form?:
   • Expanded form means writing out a number by showing the value of each digit. It helps us see how numbers are made up of smaller parts.
   • For example, the expanded form of 2,349 is:
     • 2,000 + 300 + 40 + 9
2. Why Use Expanded Form?:
   • Expanded form helps us understand the value of each digit in a large number. It also makes it easier to add or subtract large numbers.

Visual Representation

1. Using Place Value Blocks:
   • One way to visualize numbers is by using place value blocks.
     • A “thousand block” represents 1,000. A “hundred block” represents 100. A “tens stick” represents 10. A “ones cube” represents 1.
   So, if you want to represent 2,349 with blocks, you would need:
   • 2 thousand blocks
   • 3 hundred blocks
   • 4 tens sticks
   • 9 ones cubes
     
2. Drawing a Number Line:
   • You can also represent numbers using a number line. For example, if you have 2,000 and 3,000 on a number line, you can see where 2,349 fits between those two numbers. It’s a great way to visualize how big or small a number is.

Comparing Numbers in the Thousands

1. Using Place Value to Compare:
   • When comparing two numbers, like 4,562 and 4,368, we start by looking at the thousands place:
     • Both numbers have a 4 in the thousands place.
     • Then we move to the hundreds place. The first number has a 5, and the second number has a 3. Since 5 is greater than 3, we know that 4,562 is greater than 4,368.
       
2. Using Symbols:
   • When comparing numbers, we can use symbols:
     • Greater than (>) means the first number is larger.
     • Less than (<) means the first number is smaller.
     • Equal to (=) means both numbers are the same.

Conclusion

Now you know how to represent and compare numbers in the thousands! Whether it’s using expanded form, place value blocks, or number lines, understanding numbers becomes much easier when you break them down. Keep practicing, and you’ll get better at recognizing and working with large numbers!em down into parts and how to decide which one is bigger or smaller. Keep practicing, and soon you’ll be a pro at handling numbers in the thousands!