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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 inequality for... 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 1/4 and 0.25, we first convert 1/4 to a decimal.

Calculating gives us:

$\frac{1}{4} = 0.25$

Thus, the correct symbol is '='. Therefore, the answer is:

$1/4 = 0.25$

Step 2

(ii) 0.66 ... 2/3

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Answer

Next, we need to compare 0.66 and 2/3.

We convert 2/3 into a decimal:

$\frac{2}{3} \approx 0.6667$

Since 0.66 is less than 0.6667, the correct symbol to use is '<'. Therefore, the answer is:

$0.66 < \frac{2}{3}$

Step 3

(iii) 6 ... 2^3

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Answer

Now we compare 6 and 2^3.

Calculating 2^3 yields:

$2^3 = 8$

Since 6 is less than 8, the correct symbol is '<'. Therefore, the answer is:

$6 < 2^3$

Step 4

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

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Answer

From the given number line where the arrow points to the right from 7 to some value greater than 8, we can express the inequality for x as:

$x > 7$

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