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How do you turn 0.11111... (recurring) into a fraction

Let's look at what makes this question more difficult than, say, 0.5 or 0.01: as the decimal is recurring, you can't just multiply and divide by a big number to get a fraction. Example: multiply 0.01 times 1...
AP
Answered by Alvaro P. Maths tutor
60260 Views

Solve 3x – 5 < 16

Key points: Approach in exactly the same way as if there was an = instead of an &lt;.When trying to solve the inequality, remember that whatever you do to one side of the inequality you must also do to the o...
JM
Answered by John M. Maths tutor
4002 Views

Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.

You can solve this equation using the quadratic formula: x = -b +/- root(b 2 - 4ac) 2aSo, a=2, b=7, c=-8:x = -7 +/- root(7 2 - 4 x 2 x -8) 2 x 2So, x = 0.31 or -3.81
MK
Answered by Michelle K. Maths tutor
8646 Views

Prove algebraically that 
(2n + 1)^2 – (2n + 1) is an even number for all positive integer values of n. (3 marks)

We can show something is even if it is a multiple of two, as every multiple of two is even. It is useful to see certain tricks, and I will aim to teach you these in my tutorials, these tricks make problems e...
BH
Answered by Ben H. Maths tutor
7120 Views

How do I convert the following, 0.089, into standard form?

Your final answer should consist of a number between 1 and 10 multiplied by 10 to the power of a particular number. This particular number we will call x. We begin by noting that 0.089 is required to become ...
BA
Answered by Beth A. Maths tutor
7206 Views