Ordering Numbers

In the last lesson, you learned how to compare numbers using comparison symbols (<, > and =) ** **

We can also use comparison to arrange a set of numbers in order.

Arranging a set of numbers in increasing or decreasing order is called **ordering or sorting.**

In this lesson, let's learn how to order numbers! π€

π Look at this set of numbers.

381, 945, 722, 106

How will you **find the smallest number **in this set? π€

That's right! We can use comparison! π

Do you remember how to compare numbers?

Very good! π

When **comparing numbers**, always start by comparing the digits at the highest place value.

π€If these digits are equal, **move one place value to the right **π, and compare again.

Let's try comparing the numbers in our set now! π€

β
We start from the digits at the **hundreds place.**

Which is the smallest digit?

Correct! **1 **is the smallest digit at the hundreds place here.

So, **106 is the smallest number.**

Great job! π

π Let's look at another example.

How will you **find the largest number **in this set?

816, 842, 897, 893

That's right! We use comparison again.

β
We start with the **highest place value,** which is the **Hundreds place.**

But wait! π€ All the digits at the hundreds place are **equal**.

Do you remember what to do now? π€

You got it!

β
We move **one place value to the right **π and compare the digits.

What do you see?

Correct! The largest digit here is **9,** and it is present in **two numbers.**

β So, we again move one place value to the right π and compare the digits at Ones place in both these numbers.

Can you tell which is the largest number now?

Very good! π **7 **is the larger digit at the Ones place.

So, **897 is the largest number.**

Nice work! π

Let's try ordering this set of numbers from **smallest to largest:**

8929, 3923, 7452, 7146

β First start by finding the smallest number.

Like before, we start with the digits at the **highest place value.**

Can you tell which number is the smallest of all? π€

Very good!

**3 **is the smallest digit at the Thousands place.

So, **3923 is the smallest number **in the set.

Let's write that down.

3923

β
Let us now find the **next smallest number.**

We again compare the digits at the highest place value.

What do you see? π€

Very good! Two numbers have the smallest digit, which is **7.**

So, now we compare the digits at the Hundreds place.

Can you tell which number is the next smallest in the set?

You got it! π

**7146 is the next smallest number **in the set.

3923<7146

And, **7452 will be next **in line.

3923<7146<7452

Can you tell which number is the **largest **in the set?

Perfect! π The number that is left at the end is the largest number.

So, **8929 is the largest number **in the set.

3923<7146<7452<8929

Great work! π

π Now, let's order numbers in the opposite order - from **largest to smallest.**

π Look at this set of numbers.

2085, 936, 400, 8477

How will you order these numbers from **largest to smallest?**

Correct! π

β
Start by finding the **largest number.**

Let's look at the digits at the **highest place value.**

But what's this? **Only 2 numbers **have digits at the highest place value.

What does this mean? π€

β
This means that the other two numbers have a **'0' **at the Thousands place.

Let's compare the numbers now! π€

Can you tell which is the largest number in the set now? π€

You got it! **8 **is the largest digit at the Thousands place.

So, **8477 is the largest number **in the set.

8477

β Let's compare the other numbers now.

So, **2085 **is the next largest number.

8477>2085

β Let's compare the last two numbers now.

Since these numbers have zeroes at the Thousands place, we can start from the Hundreds place.

What do you see? π€

**936 **is the next largest number.

And, **400 is the smallest number **of all.

8477>2085>936>400

Awesome! πYou just **sorted numbers **in decreasing order.

You did a great job on the lesson! π Now go ahead and try some questions.

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