Grade 4Mathematics

Whole Numbers (to 10,000)

Place value, ordering and rounding 4-digit numbers.

📖 8 min read · 3 worked examples · 8 practice questions

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The lesson

We're talking about numbers all the way up to 10,000! Our plan is simple. As I said, the big goal for today is to get comfortable with numbers up to ten thousand. That's a lot of zeros! You might be thinking, 'Ten thousand? That's huge! What does that even look like?' Let me give you a real example from right here in Kenya. Imagine the population of our own county. It could be a number like... 8,765 people. That's a big number, but we can understand it. We can learn how to read it, write it, and compare it to other numbers. By the end of our adventure today, we're going to be experts on place value, which is how numbers are built. We'll learn how to read and write these big numbers clearly. We'll be able to compare them to see which is bigger or smaller. We'll even learn a special trick called rounding, which makes big numbers easier to work with. It's going to be a fun and very useful skill. Our number adventure!

Everyone, building on our work with numbers, let's dive deeper. The title of our slide gives us a big clue: 'Place Value Up to 10,000'. We're moving into numbers with four digits. Ready to become place value experts? Each digit, in a big number like 4,329, has a special place, and that place gives it its own special value. Think of it like seats in our classroom. The digit in the front row has a different job than the digit in the back row. To keep everything organized, we use this tool called a Place Value Chart. This column is labeled 'Th', which stands for... ...Thousands. Next, we have 'H' for Hundreds. Then 'T' for Tens. Finally, 'O' for Ones. Our whole chart is: Thousands, Hundreds, Tens, Ones. Th, H, T, O. Let's test our chart with a real number: 4,329. We place each digit in its column. The '4' goes in the Thousands place. What does that mean? It means 4 thousands, which is 4,000. The '3' is in the Hundreds place: that's 3 hundreds, or 300. The '2' is in the Tens place: 2 tens, which is 20. The '9' is in the Ones place: just 9. When we put all those values together: 4,000 plus 300 plus 20 plus 9, we get back our original number: 4,329. That's how place value works! Let's bring this home with an example from our lives. Imagine you're saving up for something big, like a motorbike, what we often call a 'boda boda'. The price tag says KES 9,850. That's a four-digit number! Can you use our place value chart to break it down? The '9' is in the Thousands place, so that's 9,000 shillings. The '8' is Hundreds: 800 shillings. The '5' is Tens: 50 shillings. The '0' is Ones: 0 shillings. 9,000 + 800 + 50 + 0 = 9,850. Place value helps us understand exactly what a price means.

Just like that, we've reached the end of our journey with large numbers. Let's review what we've accomplished together in this session. We can proudly say that today we mastered numbers all the way up to 10,000! At this number. Ten thousand. What made that possible? We built four key skills. We practiced place value, understanding the thousands, hundreds, tens, and ones places. We became experts at reading and writing these large numbers. We learned to compare them, to see which number is greater or less. We practiced rounding numbers to the nearest ten or hundred to make them easier to work with. Most importantly, I want you to remember this. You are not just learning this for a test. You use these skills every single day. When you look at a KES 5,000 note, you are using place value. When you hear the distance from Nairobi to Mombasa is about 485 kilometers, you are reading a large number. When you hear that your county's population is over 1.2 million people, you are working with the skills we practiced today. Great job, everyone. You've worked so hard. The best way to stay sharp is to keep practicing. For numbers around you—in supermarket prices, bus fares, or football scores—and see if you can read them, compare them, and round them. Keep up the great practice!

Worked examples

Reading and Writing Numbers

Let's build on our understanding of place value and apply it to a very practical skill. This is super important, not just for math, but for reading prices, writing amounts, and understanding information in the real world. First, let's read a number written in figures. Here we have 4,329. At the comma. It helps us see the thousands. Starting from the left, we have 4 thousands, 3 hundreds, 2 tens, and 9 ones. When we put that together and say it, it becomes 'Four thousand, three hundred twenty-nine'. Notice we say 'thousand' for the first group, then 'hundred', and we combine the tens and ones. Very good. Let's practice the other way. Let's write a number in words. If I show you 7,618, how would you write it out? Yes, that's 'Seven thousand, six hundred eighteen'. We write the thousands, then the hundreds, and then we put the tens and ones together without the 'and'. Here's 5,042. Carefully at the tens and ones places. We have 0 hundreds and 4 tens. What happens with the hundreds when it's zero? It's 'Five thousand, forty-two'. Because there are zero hundreds, we skip saying 'hundred' altogether. We go straight from 'thousand' to the tens and ones. Let's connect this to something real. Imagine you're helping a parent or guardian read a school fee statement. It says KES 6,750. 'KES' stands for Kenyan Shillings. We need to read this amount. First, we see it's 6 thousand, 7 hundred, and 5 tens, which is 50. The school fees are six thousand, seven hundred fifty shillings. Done, everyone! You're now able to read and write numbers you'll see every day.

Ordering and Comparing Numbers

Building on our work with numbers, let's now focus on ordering and comparing them. This is a super important skill, especially when we want to find the biggest or the smallest amount of something. How do we compare two numbers? It's like a race. We need to look at the runners, one by one, from the most important position. Our first and most important step is always to look at the highest place value first. For four-digit numbers, that means we start at the thousands place, the leftmost digit. It's the biggest runner, so it tells us a lot. Once we've compared the digits, we use our special symbols to show the relationship. This symbol > means 'greater than', this one < means 'less than', and this = means 'equal to'. Let's put this into practice with a clear example. We want to compare the numbers 3,809 and 3,890. Let's use our rule. First, look at the thousands place. Both numbers have a '3' there. They are tied. We move to the next runner, the hundreds place. Another tie! We must move to the tens place. In 3,890, the tens digit is '9'. In 3,809, the tens digit is '0'. We have a difference! Nine tens is greater than zero tens. We can write our comparison. 3,809 is less than 3,890. We use the less than symbol. Here's the full reason written out: 3,809 is less than 3,890 because 80 is less than 89. Let's make this real. Imagine we are helping farmers in Kenya order their maize harvests from different shambas. They recorded these amounts in kilograms. We have 2,540 kg, 2,504 kg, and 2,450 kg. Our task is to put them in order from the smallest harvest to the biggest harvest. Who thinks they can help us walk through comparing the first two: 2,540 and 2,504?

Rounding Numbers

First, you might wonder, why do we even need to round numbers? Imagine you're at the market and something costs 498 shillings. It's much easier to say, 'That's about 500 shillings,' isn't it? Rounding makes numbers simpler and easier to work with. When you round, you are finding a nice, neat number that is close to the original number, but easier to say and use in your head. The most important part is knowing how to round. There is one simple rule that works every single time. Rule number one: Look at the digit to the RIGHT of the place you are rounding to. This is the deciding digit. Rule number two: If this digit is 5 or more, you round UP. If it is 4 or less, you round DOWN. Let's practice this rule with a real example. We have the number 4,678. We're going to round it to different place values. First, let's round 4,678 to the nearest ten. I want you to focus on the tens place. That's the 7. The digit to the right of the tens place is in the ones place. What is that digit? Is 8 a 5 or more? We round UP. That means our 7 tens become 8 tens, giving us 4,680. Let's round to the nearest hundred. At the hundreds place, which is the 6. The digit to its right is the tens digit. What's the tens digit in 4,678? 7 is 5 or more, so we round UP. Our 6 hundreds become 7 hundreds. All the digits after the hundreds place become zeros, giving us 4,700. Finally, let's round to the nearest thousand. The thousands place is 4. The digit to the right is in the hundreds place. What is that digit? It's 6. 6 is 5 or more, so we round UP! The 4 thousands become 5 thousands. That gives us 5,000. We see that 4,678 rounds to 4,680 for tens, 4,700 for hundreds, and 5,000 for thousands. The rule is the same every time: check the digit to the right, then decide up or down. Great work following along, everyone!

Practice questions

  • We need to find the *value* of the digit 7 in 5,783. Remember, value means what the digit is *worth* based on its place.
  • Asks for the word form of 2,041. The correct way to write this is 'two thousand and forty-one'.
  • For the third question, we match 'three thousand, five hundred six' to its figures. That's three thousands, five hundreds, and six ones.
  • Finally, the last question is a 'select all that apply'. We need numbers where the digit 4 has a value of 40, meaning it's in the *tens* place.
  • I have four real-world questions for you to test your skills, and we'll use examples from right here in Kenya.
  • We have the number 9,674. What is the place value of the digit 7?
  • Pause and tell me your answer. (Pause) Yes, the digit 7 is in the tens place.
  • Practice 2 is about writing numbers in words. Write the number 8,309 in words.

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