Mathematics - Term 3 - Week 1

Fractions represent parts of a whole, while decimals are another way to express these parts. For example, the fraction 1/2 can also be written as 0.5. To convert a fraction to a decimal, divide the numerator by the denominator. Visual models, such as pie charts or number lines, can help illustrate how fractions and decimals relate to each other.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4, which equals 0.75. To visualize this, we can use a number line where 0.75 is located between 0.7 and 0.8. Another example is converting 1/5 to a decimal: dividing 1 by 5 gives us 0.2. Using visual aids helps solidify these concepts.

Now, let's practice converting some fractions to decimals as a class. Convert 2/5 to a decimal. First, divide 2 by 5, which equals 0.4. Next, let's convert 7/10. Dividing 7 by 10 gives us 0.7. Discuss with your partner how you visualized these conversions and what strategies helped you.

Now it's your turn! Convert the following fractions to decimals: 1/8, 3/10, and 5/6. Show your working clearly. After converting, reflect on any mistakes you made and correct them. Use visual models if needed to help you understand the conversions better.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/2
• 1/5
• 2/5
• 3/10

Answer: 1/5

0.2 is the decimal form of 1 divided by 5.

Answer: 0.375

3 divided by 8 equals 0.375.

• 0.5
• 0.05
• 0.15
• 0.25

Answer: 0.5

5 divided by 10 equals 0.5.

Answer: 1.75

7 divided by 4 equals 1.75.

• 0.6
• 0.3
• 0.5
• 0.8

Answer: 0.6

3 divided by 5 equals 0.6.

Answer: 0.6667 (approx.)

2 divided by 3 equals approximately 0.6667.

• 0.9
• 0.99
• 1.0
• 0.1

Answer: 0.9

9 divided by 10 equals 0.9.