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) \(\frac{1}{4} \) .......... 0.25
(ii) 0.66 .......... \(\frac{2}{3} \)
(iii) 6 ............ 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) \(\frac{1}{4} \) .......... 0.25
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Since (\frac{1}{4} = 0.25), the correct symbol to use is =.
Step 2
(ii) 0.66 .......... \(\frac{2}{3} \)
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To compare 0.66 and (\frac{2}{3}), we convert (\frac{2}{3}) to decimal which is approximately 0.67. Therefore, 0.66 < (\frac{2}{3}), so the symbol is <.
Step 3
(iii) 6 .......... \(2^3\)
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Calculating (2^3 = 8). Thus, 6 < 8, so the symbol to use is <.
Step 4
(b) Write down the inequality for x that is shown on this number line.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The number line shows an open interval from 2 to 8, therefore the inequality is 2 < x < 8.
