# Rounding using a number line (tens)

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## Understanding Rounding to the Nearest Ten Using a Number Line – Introduction

We're diving into the world of rounding to the nearest ten using a number line. This skill helps us simplify numbers and make quicker estimates, especially in competitions or games. Get ready because today, we're going to practise this together!

## What Is Rounding to the Nearest Ten Using a Number Line?

Rounding to the nearest ten using a number line involves plotting the number on a number line and determining whether to round up or down to the nearest ten based on its position. This method helps us quickly visualise and understand rounding.

Here are the steps to tackle rounding to the nearest ten using a number line:

Step # Action
1 Identify the number you are rounding.
2 Set up the lesser tens value on the left side and the higher tens value on the right side.
3 Fill in all the numbers between the tens.
4 Plot the number on the number line.
5 If the number is below halfway, round down to the nearest ten. If it is halfway or above, round up to the nearest ten.

Let's practise understanding this method with a few examples.

## Solving Rounding Problems to the Nearest Ten Using a Number Line – Examples

Example 1:

Problem: Round 45 to the nearest ten.

Steps to Solve the Problem:

Step # Action Description
1 Identify the number you are rounding. 45
2 Set up the number line. Lesser tens value: 40, Higher tens value: 50
3 Fill in the numbers between. 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50
4 Plot the number on the number line. Plot 45
5 Determine if it rounds up or down. 45 is halfway, so round up to 50

Solution: 45 rounded to the nearest ten is 50.

Example 2:

Problem: Round 76 to the nearest ten.

Steps to Solve the Problem:

Step # Action Description
1 Identify the number you are rounding. 76
2 Set up the number line. Lesser tens value: 70, Higher tens value: 80
3 Fill in the numbers between. 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80
4 Plot the number on the number line. Plot 76
5 Determine if it rounds up or down. 76 is above halfway, so round up to 80

Solution: 76 rounded to the nearest ten is 80.

## Understanding Rounding to the Nearest Ten Using a Number Line – Guided Practice

Take a look at these numbers: Round 64 to the nearest ten.

Step 2: Set up the lesser tens value and higher tens value.
Step 3: Fill in the numbers between.
Step 5: Determine if it rounds up or down.
Conclusion?

In number sentence form: 64 rounded to the nearest ten is 60

## Using Rounding to the Nearest Ten Using a Number Line – Application

Round 121 to the nearest ten.

Set up the lesser tens value and higher tens value.
Fill in the numbers between.
Determine if it rounds up or down.
Conclusion?

In number sentence form: 121 rounded to the nearest ten is 120

## Using Rounding to the Nearest Ten on a Number Line – Application

Now it's your turn. Practise rounding these numbers to the nearest ten on a number line.

## Solving Rounding Problems to the Nearest Ten Using a Number Line – Summary

Key Learnings from this Text:

• Solving problems by rounding to the nearest ten using a number line can be achieved by following these steps:
Step # Action
1 Identify the number you are rounding.
2 Set up the lesser tens value on the left side and the higher tens value on the right side.
3 Fill in all the numbers between the tens.
4 Plot the number on the number line.
5 If the number is below halfway, round down to the nearest ten. If it is halfway or above, round up to the nearest ten.
• Mastering the skill of rounding to the nearest ten using a number line is an important foundational maths skill.

Keep practising these steps, and you'll become a pro at rounding numbers to the nearest ten using a number line! Check out more fun maths challenges and exercises on our website to continue sharpening your skills.

## Solving Rounding Problems to the Nearest Ten Using a Number Line – Frequently Asked Questions

Why do we use a number line for rounding?
Can I round numbers without a number line?
What if the number is exactly halfway?
How can I get better at rounding numbers?
Can rounding be used in real-life situations?

### TranscriptRounding using a number line (tens)

Skylar and Henry are participating in a frisbee competition where the top three finishers will receive all you can carry toffee apples! They get one throw each. The spot where the frisbee lands is rounded to the nearest ten, and this becomes their score. Skylar steps up for her throw. Now it is Henry's turn. Their fierce competitor, Benji, throws last. To calculate their scores we can use "Rounding to the Nearest Ten on a Number Line" When rounding to the nearest ten on a number line, first, "identify the number you are rounding". Next, "set up the number line with the ten before your number on the left and the ten after your number on the right". Then "fill in all the numbers between the tens". The number line is ready, so we "plot the number" we are rounding on to it. If the "number" is "BELOW halfway", we "round DOWN" to the nearest ten, and if the "number" is "HALFWAY or ABOVE", we "round UP" to the nearest ten. Let's practice with Benji's throw! HERE is where Benji's throw landed. First, identify the number we are using, which is forty-five. The ten before forty five is forty, so write it on the LEFT hand side.. and the ten after forty five is fifty, so write it on the RIGHT hand side. Now fill in the number line with all of the numbers between forty and fifty. Benji scored forty-five, so we can plot it HERE on the number line. We can see that forty-five is at the HALFWAY point on the number line, so we round UP to fifty. Forty-five rounded to the nearest ten is fifty.

Let's see if you can help calculate Skylar and Henry's scores! Here is where Skylar's frisbee landed. Can you identify the number?

It is seventy-six. Which ten comes before seventy six and which ten comes after?

The ten before seventy six is SEVENTY, and the ten after is EIGHTY. Now we fill in all of the numbers BETWEEN seventy and eighty. Can you remember the next step?

We plot Skylar's frisbee throw, so seventy-six goes HERE. Now we need to decide if we round UP, or round DOWN. What should we do for Skylar's score?

Seventy-six is OVER halfway on the number line, so we round UP to the nearest ten. Seventy-six rounded to the nearest ten is EIGHTY. Now let's calculate Henry's score! Here is where Henry's frisbee landed. What is the number?

It is sixty-four. Which ten comes before sixty four and which ten comes after?

The ten before sixty four is SIXTY, and the ten after is SEVENTY. Now we fill in all of the numbers BETWEEN sixty and seventy. What is the next step?

We plot Henry's frisbee throw, so sixty-four goes HERE. Now we need to decide if we round UP, or round DOWN. Which should we choose for Henry's score?

Sixty-four is BELOW halfway on the number line, so we round DOWN to the nearest ten. Sixty-four rounded to the nearest ten is SIXTY.

Remember, to round to the nearest ten on a number line, first, "identify the number you are rounding". Next, "set up the number line with the ten before your number on the left and the ten after your number on the right". Then "fill in all of the numbers between the tens". Now the number line is ready, we "plot the number" we are rounding "on the number line". If the "number" is "BELOW halfway", we "round DOWN" to the nearest ten, and if the "number" is "HALFWAY or ABOVE", we "round UP" to the nearest ten. Well, it looks like Skylar was the overall winner. Great job, Skylar! But don't forget, everyone in the top three gets all you can carry toffee apples. Wow, Benji and Henry, you have both got a lot of toffee apples there!

Of course, Skylar. Cunning as always!

## Rounding using a number line (tens) exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Rounding using a number line (tens).
• ### Round the numbers to the nearest 10.

Hints

If the ones digit is 5 or above we round up, or if it is 4 or below we round down.

Let's look at the number 17.

We look at the ones digit which is 7.

As the 7 is above 5 we round up to the next 10. The next ten is 20.

Solution

As we are rounding to the nearest ten we look at the digit before this. This is the ones digit. If the digit is 5 or above, we round up. If the digit is 4 or below we round down.

68 = 70

56 = 60

44 = 40

45 = 50

• ### Place the given numbers next to their nearest 10.

Hints

Look at the number. Is the ones number 5 or above? If so, we round up to the next ten.

Is the ones number 4 or below? If so, we round down.

In this example, the ones digit is a 4. As it is 4 or below, we round down. Our answer is 20.

Solution

24 → 20

35 → 40

55 → 60

78 → 80

• ### Round the numbers to the nearest 10.

Hints

When rounding to the nearest ten, we look at the ones digit to identify which way we round.

Is the digit 5 or above? If yes, then we round up.

Is the digit 4 or below? If yes, then we round down.

We can use the number 17 as an example.

First, we look at the ones digit. This is 7. As this is 5 or above, we round up to the next ten.

Solution

Remember, if the ones digit number is 5 or more, we round up to the next ten.

If the ones digit is 4 or less, we round down.

• ### Can you help check Henry's final score card?

Hints

Look at the ones digit in the number. Is it 5 and above or 4 and below?

If the ones digit is 5 or above, we round up. If it is 4 or below, we round down.

Using this example, the ones digit is 5 or above so we round up to the next ten, which is 80.

Solution

Remember, when rounding to the nearest ten you look at the digit before. This is the ones digit. If the ones digit is 5 or above, we round up. If the ones digit is 4 or below, we round down. Please see the correct answers below:

75 $\rightarrow$ 80

99 $\rightarrow$ 100

111 $\rightarrow$ 110

• ### Round the numbers to the nearest 10.

Hints

Is the ones digit 5 or above? If so, we round up.

Is the ones digit 4 or below? If so, we round down.

Identify the ones digit.

Use the number line to help you. Identify where the 5 is. It is halfway.

Is the number you're rounding sitting at the halfway point or higher? Round up.

Is your number sitting below the halfway mark? Round down.

Solution

25 - as the digit in the ones is 5, we round it up to the next ten.

43 - as the digit in the ones is below 5, we keep the same ten.

77 - as the digit in the ones is more than 5, we round it up to the next ten.

54 - as the digit in the ones is below 5, we keep the tens the same.

• ### Can you help complete the order?

Hints

When rounding to the nearest 10, we look at the the digit value to the right which is the ones digit. If this is 5 or above, we round up to the next ten. If it is 4 or below, we keep the same tens number.

Is the ones digit 5 or above? Or is it 4 or below?

First, let's identify the tens digit.

We know we will either be rounding to 230 or 240.

In this example, to round to the nearest 10 we must look at the ones digit. Is it 5 and above or 4 and below?

Solution

When rounding to the nearest 10, we look at the digit value to the right which is the ones digit. If this is 5 or above, we round up to the next ten. If it is 4 or below, we keep the same tens number.