Year 4 Maths: Fraction on a Number Line

Introduction to Fractions on a Number Line

Hello, Year 4! Today, we are going to learn about fractions on a number line. This is a fun way to see how fractions work and where they fit between whole numbers.

What is a Fraction?

A fraction represents a part of a whole. For example, if you have a pizza and you eat 1 out of 4 slices, you have eaten

Understanding the Number Line

A number line is a straight line where we can show numbers, including fractions. Here’s how it works:

1. Whole Numbers: The whole numbers like 0, 1, 2, 3, etc., are placed on the number line.
2. Fractions: Fractions fit in between these whole numbers. For example, between 0 and 1, we can have $$\frac{1}{2}$$ , $$\frac{1}{4}$$ , and $$\frac{3}{4}$$ .

Placing Fractions on a Number Line

Let’s see how we can place fractions on a number line:

1. Draw a Number Line: Start with a straight line. Mark 0 on the left and 1 on the right.
2. Divide the Segment: If you want to add $$\frac{1}{2}$$ , divide the space between 0 and 1 into 2 equal parts. The first mark will be $$\frac{1}{2}$$ .
3. Adding More Fractions: If you want to add $$\frac{1}{4}$$ , divide the space between 0 and 1 into 4 equal parts and mark the first part.

Key Rules for Fractions on a Number Line

1. Equal Parts: Always divide the section into equal parts based on the denominator.
2. Count Carefully: The numerator tells you how many parts to count from 0.
3. Visual Aid: Drawing helps! Use a ruler to keep lines straight and marks even.

Tips and Tricks

• Use a ruler for straight lines and equal spaces.
• Label your fractions clearly so you can see where they fit.
• Practice with different fractions to get better at it!

Questions

Easy Level Questions

1. What fraction is halfway between 0 and 1?
2. Place $$\frac{1}{2}$$ on the number line between 0 and 1.
3. If you divide 1 into 4 parts, what is the first fraction?
4. What fraction is represented by 3 parts of 4 on a number line?
5. Where does $$\frac{3}{4}$$ go on a number line between 0 and 1?
6. Draw a number line from 0 to 1 and place $$\frac{1}{4}$$ .
7. Is $$\frac{1}{3}$$ closer to 0 or 1?
8. Draw a number line from 0 to 2 and place $$\frac{1}{2}$$ .
9. How many equal parts are in $$\frac{1}{8}$$ ?
10. Place $$\frac{2}{4}$$ on the number line between 0 and 1.

Medium Level Questions

11. Divide the space between 0 and 1 into 3 equal parts and label them with fractions.
12. What fraction is represented by 2 parts of 5 on a number line?
13. Draw a number line from 0 to 2 and place $$\frac{3}{2}$$ .
14. How many equal parts are there between 0 and 1 if you want to show $$\frac{1}{5}$$ ?
15. Where does $$\frac{4}{5}$$ fit on the number line between 0 and 1?
16. If you have a number line from 0 to 3, where does $$\frac{5}{3}$$ go?
17. Draw a number line from 0 to 1 and place $$\frac{2}{3}$$ .
18. What is the fraction that is one part more than $$\frac{1}{4}$$ ?
19. Place $$\frac{3}{8}$$ on the number line between 0 and 1.
20. How can you show $$\frac{5}{4}$$ on a number line?

Hard Level Questions

21. Divide the space between 0 and 1 into 6 equal parts and label them with fractions.
22. Where does $$\frac{7}{8}$$ fit on the number line between 0 and 1?
23. Draw a number line from 0 to 4 and place $$\frac{9}{4}$$ .
24. If a number line goes from 0 to 2, where does $$\frac{11}{8}$$ go?
25. What is the fractional distance between $$\frac{1}{3}$$ and $$\frac{2}{3}$$ on a number line?
26. How would you represent $$\frac{5}{6}$$ on a number line?
27. Draw a number line from 0 to 5 and place $$\frac{13}{5}$$ .
28. If you have $$\frac{2}{7}$$ , how many parts do you need to divide between 0 and 1?
29. Where does $$\frac{9}{10}$$ fit on a number line between 0 and 1?
30. Draw a number line from -1 to 1 and place $$\frac{-1}{2}$$ .

Answers with Explanations

Easy Level Answers

1. $$\frac{1}{2}$$ – Halfway is always $$\frac{1}{2}$$ .
2. Between 0 and 1, mark halfway for $$\frac{1}{2}$$ .
3. $$\frac{1}{4}$$ – The first fraction when divided into 4 parts.
4. $$\frac{3}{4}$$ – Three parts of four.
5. $$\frac{3}{4}$$ goes to the third mark in four parts.
6. Mark one quarter between 0 and 1.
7. Closer to 0 – $$\frac{1}{3}$$ is less than $$\frac{1}{2}$$ .
8. Halfway between 0 and 1 for $$\frac{1}{2}$$ .
9. $$\frac{1}{8}$$ means divide into 8 parts.
10. $$\frac{2}{4}$$ is the same as $$\frac{1}{2}$$ .

Medium Level Answers

11. Mark $$\frac{1}{3}$$ , $$\frac{2}{3}$$ , and $$\frac{3}{3}$$ .
12. $$\frac{2}{5}$$ – Two parts of five.
13. One and a half is $$\frac{3}{2}$$ .
14. Five equal parts for $$\frac{1}{5}$$ .
15. Near the end, close to 1.
16. A bit over 1, as $$\frac{5}{3}$$ is more than 1.
17. Count two-thirds from 0.
18. $$\frac{5}{4}$$ is one part more than $$\frac{1}{4}$$ .
19. Between $$\frac{1}{2}$$ and $$\frac{3}{4}$$ .
20. Between 1 and 2, just past 1.

Hard Level Answers

21. Mark $$\frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, \frac{5}{6}$$ .
22. Almost at the end, just before 1.
23. One and one quarter.
24. Just above 1, $$\frac{11}{8}$$ is more than 1.
25. A distance of $$\frac{1}{3}$$ .
26. Near the end, just before 1.
27. Mark at two and a half.
28. Seven equal parts needed.
29. Almost at the end, very close to 1.
30. Halfway down between -1 and 0.

I hope you all enjoyed learning about fractions on a number line! Remember to practice, and soon you’ll be a fraction expert!