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Start by multiplying the two numbers as though they didn't have a decimal point (e.g. 2.7 3.6 becomes 27 36 = 972). Now add up how many decimal places were in the original two numbers (e.g. 2.7 and 3.6 have ...

In order to simplify a surd you need to look at the factors of the number under the square root. You can then multiply together the square roots of the factors. For example if you wanted to simplify sqrt(12)...

Firstly, what is the product rule? What does it actually say? Well, it tells us how to differentiate a function of the form uv - the product of the functions u and v. If y = uv, the product rule says: dy/dx ...

2x + y = 10 (1) 3x + 4y = 25 (2) 1. Eliminate y. Method 1: (1) x 4: 8x + 4y = 40 (1') (1') - (2): 5x = 15 Method 2: Rearrange (1): y = 10 - 2x (1") Substitute (1") into (2): 3x + 4(10 - 2x) = 25 (3...

If you're asked to solve a quadratic equation, you could factorise it, or you could use the quadratic formula. The quickest way is to factorise, but sometimes the numbers are too tricky to factorise, (if an ...