By Trevor Johnson, Hugh Neill

**More than 60 million train your self items bought worldwide! Brush up your abilities and rediscover the foremost math thoughts and techniques**

*Complete Mathematics* offers a useful, step by step advent to the topic. Packed choked with labored examples and worthwhile routines, it's going to consultant you thru the necessities fast and simply, supplying you with the data you want to achieve math self belief.

Includes:

- One, 5 and ten-minute introductions to key ideas to get you began.
- Lots of rapid support with universal difficulties and quickly information for fulfillment, in keeping with the author’s decades of expertise.
- Tests to maintain tune of one's growth.
- Worked examples, transparent causes and workouts.

Topics contain: quantity; Angles; Fractions; Two-dimensional shapes; Decimals; facts; Directed numbers; Graphs; dimension; Perimeter and zone; Algebra; Approximation; Equations; probabilities; Formulae; Circles; chance; third-dimensional shapes; Ratio and share; Pythagoras' Theorem and trigonometry; Indices and conventional shape; Statistics

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**Additional resources for Complete Mathematics: Teach Yourself**

**Sample text**

5, where you can see that 158 of the total square is shaded. Thus 54 × 23 = 158 . This suggests that to multiply two fractions you multiply the numerators and then you multiply the denominators. 5 Multiplying a fraction by a whole number is similar to multiplying one fraction by another fraction. Writing the whole number as an improper fraction, with the whole number as the numerator and 1 as the denominator, enables you to write, for example, 10 as 101 . Then 34 × 10 = 34 × 101 = 304 = 152 = 7 12 .

Divide ... then any division or multiplication... ᭟ Multiply ᭟ Add ... lastly, any addition or subtraction. ᭟ Subtract } } ᭤ Natural numbers or counting numbers or positive whole numbers are the numbers 1, 2, 3, 4, . . ᭤ Integers are the numbers . . , −3, −2, −1, 0, 1, 2, 3, . . ᭤ Even numbers are exactly divisible by 2, and are the numbers 2, 4, 6, 8, . . ᭤ Odd numbers are not exactly divisible by 2, and are the numbers 1, 3, 5, 7, . ᭤ Square numbers are the result of multiplying a natural number by itself.

The acute angle at O is about a quarter of a right angle, about 20° or 30°, so an estimate for the reﬂex angle at O is 330° or 340°. To measure or draw an angle accurately, you use a protractor. The outer scale goes clockwise from 0° to 180° and the inner scale goes anticlockwise from 0° to 180°. 11, place the base line of the protractor on the line BC with the centre of the protractor over the 2. Angles 19 vertex B. Read from the scale which has its zero on BC, that is, the outer scale. The size of angle ABC is 45°.