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**Extra info for Basic Mathematical Skills**

**Example text**

47 1. 2. 3. So, to save the trouble of writing out 10 4 as 10 x 10 x 10 x 10, when you are going to multiply it by 10 7 you can say straight away that: by adding the index figures or indices (as they are called in the plural). This only applies when all the numbers being multiplied have the same base, (which in this case was 10). Q. What is 94 x 93 ? Show the answer as a base and index. Indices 94 A. X 48 93 = 9 7 Which of the following two groups of examples contains a mistake? Work out each calculation in each group before deciding on your answer.

42 Indices A. The index is always the same as the number of noughts. You were quite right if you said something like this but note, this only appl ies when our base is 10. We can now see how to make this method save us a lot of time. Q. What is 10 3 short for? 43 Indices 103 is short for 1000 103 = 10 x 10 x 10 = 1000 A. If we had to multiply 102 x 103 we could do it this way. 102 Q. X 103 = 10 x 10 x 10 x 10 x 10 = 10x 10x 10x 10x 10 = 100000 = 105 Use this method to multiply 104 x 105 44 Indices A.

30 Fractions From 29 You say 15+ 50=2 2 1 . 50· h 1 . 50 25 -;IS t e same as 25 -;- T Now you remember the rule that to divide, we invert and multiply. Now we only invert the number by which we are going to divide, in this case 50, or ~O which we know is the same thing. 500mverted iIS 50 1 so we have to T 0 1 by 50. 1 Y our answer 0 mu 1tiP Iy 25 IS wrong. Have another look at 29 and work out a different answer. 31 32 Fractions From 29 A. You say 1 . 50' 25 -;- IS i5 . This is wrong. h 1 .