The exponent of a number tells us how many times to multiply the number (the base) by itself. The exponent of a number Therefore: a2= a×a a3= a×a×a an= a×a×a× … n times 34 read as ‘three to the power of 4’, or ‘3 exponent 4’ which is equal to 3×3×3×3 =81 ...
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Complex Numbers
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Working with Irrational Numbers
All square roots, cube roots, and so on, that they are not rational are called surds. Surds are real numbers which when expressed as decimals are nonrecurring and non-terminating. We can work out where a surd lies between two integers on a number line: √1= 1 and...
Non-Real Numbers
The square root (or any even root) of a negative number, is a non-real number. Examples of non-real numbers include √-25, 4√-100, and 6√-120 The calculator will show a Math Error. Example 1: ?2 + 5? + 9 = 0[a?2 + b? + c = 0] Use the...
Real Numbers
The numbers that we work with every day are called real numbers. The set of real numbers has subsets shown in the Venn diagram: The set of real numbers has subsets 1. Natural numbers:N ={1;2;3;…} (positive whole numbers) 2. Whole...