Page 17 - Mathematics

(b) Which numbers from (a) are not rational numbers? Justify your
answer.
5. Write each of the following rational numbers in the form of in its
simplest form.
1
(a) 0.004 (c) 27− (e) 0.03− (g) 6−
8 Tanzania Institute of Education
1 2
(b) 4 (d) 5.6 (f) 4 (h) 2−
4 3
6. Represent each of the following rational numbers on a number line.
5
(a) 4− (e) −
3

(b) 2.5− (f) 0.9,− 0.8,− 0.3, 0.2, 0.7
3
(c) 4 (g) −
10

(d) 1.8 (h) − 3 , − 5 , − 1 1 1 3 5 , − 3
,
,
,
,
2 4 2 4 2 2 4 4
7
7. Write 5 rational numbers which are equivalent to .
10
8. Write true or false in each of the following questions.
(a) All whole numbers are rational numbers.
(b) All integers are rational numbers.
(c) The only rational numbers which are equal to their reciprocals
are 1 and 1.−
9. Write down the rational number whose numerator is ( 2 3)−× and whose

denominator is (23 16) (9 4)− × − .
10. A monthly salary of a certain worker is Tshs 250,000. One-fifth of his
salary is spent in buying car fuels, half of remaining salary is spent in
buying food and half of the rest is spent in miscellaneous expenses.
(a) How much is his monthly savings?
(b) State whether the answer in part (a) is a rational number or not.

Repeating decimals
Decimal numbers are part of rational numbers and are common in our daily life Mathematics Form One
activities. The quantities such as length, height, age, volume and mass can be
presented in decimals. Activity 2.3 guides you in expressing various quantities in
fractions into decimals.

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Mathematics form 1.indd 11