Mathematics - Term 2 - Week 3

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 us see where these decimals fall on a number line.

Now, let's practice together. Convert the following fractions to decimals: 2/5 and 3/8. First, divide 2 by 5, which gives us 0.4. Next, divide 3 by 8, resulting in 0.375. To compare these decimals, we can place them on a number line. Discuss with your partner which decimal is larger and why.

Complete the following exercises on your own. 1. Convert 5/6 to a decimal. 2. Which is larger: 0.25 or 1/4? 3. Convert 7/10 to a decimal. 4. Draw a number line and place 0.6 and 3/5 on it. Show your working for each problem and be prepared to explain your reasoning to the class.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 1/2
• 1/4
• 2/5
• 3/8

Answer: 1/4

0.25 is the decimal representation of the fraction 1/4.

Answer: 0.8

4 divided by 5 equals 0.8.

• 0.3
• 0.25
• 0.2
• 0.35

Answer: 0.35

0.35 is greater than all the other options.

Answer: 0.3

3 divided by 10 equals 0.3.

• 0.66
• 0.67
• 0.75
• 0.5

Answer: 0.67

2 divided by 3 is approximately 0.67.

Answer: 0.45

9 divided by 20 equals 0.45.

• 0.75
• 1/2
• 0.5
• 0.25

Answer: 1/2

1/2 is a fraction, while the others are decimals.