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1. Write two rational numbers between 1/3 and 1/5.
2. Without actual division, determine which of the following numbers have a terminating decimal representation:-
(a) 73/40 (b) 216/625 (c) 56/2 (d) 42/245
(e) 142/7 (f) 92/130 (g) 86/214 (h) 69/317
3. Express each of the following numbers in decimal form:-
(a) 7/2 (b) 4/25 (c) 44/14 (d) 15/27
4. Simplify
(a)
(b)
(c)
(d)
(e)
(f)
(g)
5. Find the product of each of the following.
(a) 1/3 and 54.
(b) 1/3 and 60
(c) 9/8 and 72
(d) 62/23 and 230.
6. Divide the first number by the second number in each of the following cases.
(a) 4 1/2, 3/4
(b) -5/6, 25/42
(c) 2 2/3, 16/40
(d) 3, -4/5
(e) 0, 15/14
(f) 180/240, 1 30/60
7. Solve the following.
(a) 7(x-4) + 2(2x-5) - 3(x-5) = 7
(b) 4x - (2+4x) - 2(x-1) = -8(x-3)
(c)
(d)
(e)
8. A number is 7 times the other number. If their sum is 96, find the numbers.
9. The sum of three consecutive numbers is 99. Find the numbers.
10. A number consists of two digits whose sum is 9. If 45 is added to the number, the digits are reversed. Find the number.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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