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Find the value of each of the following - Junior Cycle Mathematics - Question 1 - 2022

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Find the value of each of the following. (i) 243 + 178 (ii) 7 - 2 × 6 (iii) 24 + (9 - 7) (iv) 3⁴ (b) Write down the whole number that is nearest to 15 - 8. (c)... show full transcript

Worked Solution & Example Answer:Find the value of each of the following - Junior Cycle Mathematics - Question 1 - 2022

Step 1

(i) 243 + 178

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Answer

To find the sum of 243 and 178, we perform the addition:

243+178=421243 + 178 = 421

Step 2

(ii) 7 - 2 × 6

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Answer

To solve this, we need to follow the order of operations (PEMDAS/BODMAS). First, we calculate the multiplication (2 × 6):

2×6=122 × 6 = 12

Now we perform the subtraction:

712=57 - 12 = -5

Step 3

(iii) 24 + (9 - 7)

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Answer

First, calculate the expression within the parentheses:

97=29 - 7 = 2

Now, add this result to 24:

24+2=2624 + 2 = 26

Step 4

(iv) 3⁴

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Answer

To calculate 3 raised to the power of 4:

34=3×3×3×3=813^4 = 3 × 3 × 3 × 3 = 81

Step 5

(b) Write down the whole number that is nearest to 15 - 8.

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Answer

First, calculate the difference:

158=715 - 8 = 7

The whole number nearest to 7 is simply 7.

Step 6

(c) What number is half way between 16 and 30?

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Answer

To find the halfway point between 16 and 30, we calculate the average:

16+302=462=23\frac{16 + 30}{2} = \frac{46}{2} = 23

Thus, the number halfway between 16 and 30 is 23.

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