Page 42 - Mathematics

5. Rational and irrational numbers together form the set of real numbers.
6. For any two real numbers a and b, only one of the following is true; Either

ab= or a < b or ab> .
7. Multiplying or dividing both sides of an inequality by a negative number
reverses the inequality symbols.
8. The absolute value of a number is its positive value, regardless of its sign.

Revision exercise 2

a
1. Write each of the following rational numbers in the form of , where a
Tanzania Institute of Education
and b are integers and b ≠ 0. b
1

(a) 6 (c) 0.81 (e) 23 (g) 4.3− (i) 0.012
2
3 2


(b) 9− (d) 193.5 (f) 245 (h) 114.97 (j) 0.123
11 9
2. List twelve rational numbers which lie between:
(a) 1 and 0− (b) 4 and 5 (c) 3 and− − 4
5
3. Represent on a number line all real numbers x such that x < .
3
4. Represent 4−≤ x < 4 on a number line, where x is a real number.
5. Write an inequality for real numbers x represented on the following
number line.

11 3
-
4 4

6. Find the absolute value in each of the following expressions.
3 − 1 + 5 (d) 62.15 88.765 45.678− +
Mathematics Form One (b) 1 + − 2 17 + 2 + 10 − 3 3 4 2 (e) 2 +  1 5 4 + 3 1 1   2 + 2 4 1  
(a)
4
8 16
1
3
3
5
2
3
4
5
1
(f) 7 +
−
(c)
 

5
8

4  
2 
7
2
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Mathematics form 1.indd 36