a) Find the value of each of the following - Junior Cycle Mathematics - Question 1 - 2015
Question 1
a) Find the value of each of the following.
(i)
2 - 5 - 1.5 × 0 + 1
(ii)
√5 + 1.25
(iii)
(-2)³
b) Show each of the following numbers on the number line belo... show full transcript
Worked Solution & Example Answer:a) Find the value of each of the following - Junior Cycle Mathematics - Question 1 - 2015
Step 1
(i) 2 - 5 - 1.5 × 0 + 1
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Answer
To solve this expression, start with multiplication before addition and subtraction:
Calculate the multiplication:
−1.5imes0=0
Substitute this back into the equation:
2−5−0+1
Simplify step by step:
First, do the subtraction: 2−5=−3
Then, add 1: −3+1=−2
Thus, the final result is −2.
Step 2
(ii) √5 + 1.25
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Answer
To find the value of this expression, calculate the square root and then add:
Start with the square root:
extCalculateextext√5extapproximately2.236.
Add 1.25:
2.236+1.25=3.486.
Thus, the approximate value is 3.49.
Step 3
(iii) (-2)³
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Answer
To solve (-2)³:
Calculate:
(−2)imes(−2)imes(−2)=−8
Thus, the result is −8.
Step 4
Show each of the following numbers on the number line below. Label each one clearly.
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Answer
On the number line:
Point 0.1 is located between 0 and 0.5.
Point 1/2 (0.5) is halfway between 0 and 1.
Point 1.7 is located between 1.5 and 2.
Label these points accordingly on the number line.
Step 5
(i) Shade in 1/3 of the following strip.
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Answer
To shade in 1/3 of the strip, divide the strip into three equal parts and shade one of them fully. This visually represents 1/3 of the entire length.
Step 6
(ii) Fill in the two blanks below, to show two fractions that have the same value as 1/3.
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Answer
The fractions that can be filled in are:
1/3 = 2/6
1/3 = 4/12
These fractions are equivalent to 1/3.
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