4 (a) Use one of these symbols or = to make each statement true. (i) 1/4 .......... 0.25 (ii) 0.66 .......... 2/3 (iii) 6 .......... 2^3 (b) Write down the inequality for x that is shown on this number line.

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4 (a) Use one of these symbols <, > or = to make each statement true - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

Question 4

4 (a) Use one of these symbols <, > or = to make each statement true. (i) 1/4 .......... 0.25 (ii) 0.66 .......... 2/3 (iii) 6 .......... 2^3 (b) Write down the ... show full transcript

Worked Solution & Example Answer:4 (a) Use one of these symbols <, > or = to make each statement true - OCR - GCSE Maths - Question 4 - 2017 - Paper 1

Step 1

(i) 1/4 .......... 0.25

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Answer

To compare the values, we find that:

$1/4 = 0.25$

Thus, the correct symbol is =.

Therefore, the statement is:

$1/4 = 0.25$

Step 2

(ii) 0.66 .......... 2/3

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Answer

To compare these values, we convert 2/3 to a decimal:

$2/3 ext{ approximately equals } 0.666...$

Thus, we have: $0.66 < 2/3$

So the correct symbol is <.

Step 3

(iii) 6 .......... 2^3

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Answer

Calculating the value of $2^3$ gives:

$2^3 = 8$

Now we compare: $6 < 8$

So the correct symbol is <.

Step 4

(b) Write down the inequality for x that is shown on this number line.

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Answer

From the number line, we observe that:

The value of $x$ is greater than 2 and less than 8.

Thus, the inequality is:

$2 < x < 8$

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