Mathematics - Term 1 - Week 5

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 understand this better, we can use visual models like pie charts or number lines. A pie chart can show how a whole is divided into equal parts, making it easier to see how fractions and decimals relate to each other.

Let's convert the fraction 3/4 into a decimal. We can do this by dividing the numerator (3) by the denominator (4). When we perform the division, we find that 3 ÷ 4 = 0.75. Therefore, 3/4 is equivalent to 0.75. We can visualize this on a number line, where 0.75 is located between 0.7 and 0.8.

Now, let's work together on converting the fraction 2/5 into a decimal. First, we will draw a number line and mark the points for 0 and 1. Next, we will divide the segment into 5 equal parts since the denominator is 5. Each part represents 0.2. Therefore, 2/5 corresponds to 0.4 on the number line. Discuss with your partner how you visualized this and what steps you took to find the decimal.

Now it's your turn! Convert the following fractions to decimals and show your working: 1) 1/8, 2) 3/10, 3) 5/6. After converting, check your answers with a partner and discuss any differences in your methods. Remember to use visual models if it helps you understand better.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1/2 is equivalent to 0.5 because when you divide 1 by 2, you get 0.5.

• 1/2
• 1/4
• 3/4
• 2/5

Answer: 1/4

0.25 is equal to 1/4 because 1 divided by 4 equals 0.25.

Answer: 0.6

3 divided by 5 equals 0.6.

• 0.7
• 0.07
• 1.7
• 0.17

Answer: 0.7

7/10 is equal to 0.7 because 7 divided by 10 equals 0.7.

Answer: 4/5

0.8 is equal to 4/5 because 8 divided by 10 simplifies to 4/5.

• 3/5
• 6/10
• both
• neither

Answer: both

0.6 can be expressed as both 3/5 and 6/10.

Answer: 0.625

5 divided by 8 equals 0.625.

• 0.1
• 0.01
• 1.0
• 10.0

Answer: 0.1

1/10 is equal to 0.1 because 1 divided by 10 equals 0.1.