i) Write $ \frac{3}{8} $ as a decimal. 0.375 ii) Show the approximate height of water in the glass if the glass is $ \frac{3}{8} $ full. Taking the height of the cylinder to be 1, then measure $ \frac{3}{8} = 0.375 $ on the side of the cylinder. iii) Represent the numbers $ \frac{3}{8} $ and 0.4 on the number line below. 0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 $ \frac{3}{8} $ 0.4 iv) How could the number line in (iii) above help you decide which is the bigger of the two numbers? Since both numbers are drawn on the same number line, the number which is furthest to the right is the bigger number.

Junior Cycle Mathematics Number Systems: i) Write $ \frac{3}{8} $ as a

i) Write $ \frac{3}{8} $ as a decimal - Junior Cycle Mathematics - Question 3 - 2014

Question 3

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i) Write $ \frac{3}{8} $ as a decimal. 0.375 ii) Show the approximate height of water in the glass if the glass is $ \frac{3}{8} $ full. Taking the height of ... show full transcript

Worked Solution & Example Answer:i) Write $ \frac{3}{8} $ as a decimal - Junior Cycle Mathematics - Question 3 - 2014

Step 1

Write $ \frac{3}{8} $ as a decimal.

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Answer

To convert ( \frac{3}{8} ) into a decimal, divide 3 by 8. Performing the calculation gives:

[ \frac{3}{8} = 0.375 ]

Step 2

Show the approximate height of water in the glass if the glass is $ \frac{3}{8} $ full.

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Answer

To represent the height of the water, set the total height of the cylinder as 1 unit. Given that the glass is ( \frac{3}{8} ) full, the height of the water can be expressed as:

[ \text{Height of water} = \frac{3}{8} \times 1 = 0.375 ]

This means the water level should be approximately 0.375 units high in the glass.

Step 3

Represent the numbers $ \frac{3}{8} $ and 0.4 on the number line below.

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Answer

On the number line from 0 to 1, mark the position of ( \frac{3}{8} ) (which is 0.375) and 0.4. This can be represented as:

0      0.2      0.3      0.4      0.5      0.6      0.7      0.8      0.9      1

                    \( \frac{3}{8} \)           0.4

Step 4

How could the number line in (iii) above help you decide which is the bigger of the two numbers?

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Answer

The number line visually represents both ( \frac{3}{8} ) and 0.4. Since both numbers are drawn on the same line, we can easily see that the number which is further to the right is the bigger number. In this case, 0.4 is further to the right than ( \frac{3}{8} ), indicating that 0.4 is the larger value.

i) Write \( \frac{3}{8} \) as a decimal - Junior Cycle Mathematics - Question 3 - 2014

Worked Solution & Example Answer:i) Write \( \frac{3}{8} \) as a decimal - Junior Cycle Mathematics - Question 3 - 2014

Write \( \frac{3}{8} \) as a decimal.

Show the approximate height of water in the glass if the glass is \( \frac{3}{8} \) full.

Represent the numbers \( \frac{3}{8} \) and 0.4 on the number line below.

How could the number line in (iii) above help you decide which is the bigger of the two numbers?

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