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3-9 χ 2-4 = 0-56 x 0-74 = 0021 χ 0-204 = 13-2 x 2-475 906 χ 0 045 0006 9 x 10 = 4069 χ 1000 7-49 x 10G = 24-965 3 -:- 1000 4956-74 ~ 10 000 = 3. 6. 9. 12. 15. 18. 21. 24. 27. 30. 45 X 0-72 = 0-224 x 0-302 = 0-601 χ 0003 = 0-132 x 2-475 0008 χ 7511 = 95-6 χ 100 = 0-000 094 x 10000 = 534-79 -:- 100 = 5-980 ~ 100 = 0038 649 » 100000 = DIVISION OF DECIMALS Law of division: A quotient is not changed when the dividend and divisor are both multiplied by the same number. EXAMPLE 1: 7-2 -τ- 0-9. 7-2 χ 10 == 72 Thus, multiplying dividend and divisor by ten gives 0-9 x 10 = 9 72 -r 9 = 8.

Clearly £0-49697 χ 100 = £49-697 will amount to £100 in 12 years. In this sense we may say that £49-697 is the present worth of £100 in 12 years time at 6% compound interest. EXAMPLE 3 : Calculate the principal which needs to be invested at 4% compound interest paid annually in order to realize an amount of £1000 in 9 years. SOLUTION: From the table we see that in 9 years a principal of £1 at 4% compound interest paid annually will amount to £1-42331. £1 , # £1-42331 l r amounts to , = £1 1-42331 1-42331 Discount, Commission, Interest, Profit and Loss 49 .

What is its diameter? (A) 0-674 3 mm (B) 0-675 7 mm (c) 0-767 5 mm (D) 0-472 5 mm 4. Mr. Brown received £44-20 for his eggs. How many dozen did he sell if the price he received was £0-20 per dozen? (A) 200 (B) 221 (c) 210 (D) 231 5. A 16 section road is 158*72 metres long. How long are the first six sections when joined together? (A) 9-92 m (Β) 26-45 m (c) 66 m (D) 59-52 m Mathematics Made Simple 3ö 6. What would you consider to be the probable length of an object if you measured it four times and obtained the following readings: 0-641 m, 0-642 m, 0-646 m, 0-647 m ?