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Insert brackets into each of the following statements to make them true - Junior Cycle Mathematics - Question (b) - 2016

Question (b)

Insert brackets into each of the following statements to make them true. You may need more than one pair of brackets in some of the statements. (i) 5 + 4 × 2 + 3 =... show full transcript

Worked Solution & Example Answer:Insert brackets into each of the following statements to make them true - Junior Cycle Mathematics - Question (b) - 2016

Step 1

(i) 5 + 4 × 2 + 3 = 45

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Answer

To make the statement true, we can use brackets as follows:

$(5 + 4) \times (2 + 3) = 45$

Calculating this:

First, sum inside the brackets: $5 + 4 = 9$ and $2 + 3 = 5$ .
Then, multiply the results: $9 \times 5 = 45$ .

Thus, the correctly bracketed expression is: $(5 + 4) \times (2 + 3)$ .

Step 2

(ii) 5 + 4 × 2 + 3 = 25

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Answer

For this statement, we can insert brackets this way:

$5 + 4 \times (2 + 3) = 25$

Calculating this:

First, evaluate the expression in the brackets: $2 + 3 = 5$ .
Then, compute: $4 \times 5 = 20$ .
Finally, add: $5 + 20 = 25$ .

So, the correctly bracketed expression is: $5 + 4 \times (2 + 3)$ .

Step 3

(iii) 5 + 4 × 2 + 3 = 21

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Answer

In this case, we can use brackets like this:

$(5 + 4) \times 2 + 3 = 21$

Calculating it step-by-step:

Sum inside the brackets: $5 + 4 = 9$ .
Then multiply by 2: $9 \times 2 = 18$ .
Finally, add 3: $18 + 3 = 21$ .

Thus, the correctly bracketed expression is: $(5 + 4) \times 2 + 3$ .

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