Page 41 - Mathematics

4. Evaluate each of the following and arrange the answers in descending
order.
−− 34 , 23 , 29 , 80 ,− 17 ,− 25 .

5. Evaluate each of the following expressions.
(a) 3− −− 3 (d) 4 10− Tanzania Institute of Education

3
(b) 5− −− −− 4 (e) −− 4(6 3(7 10))− −
(c) 3− + 4( 2) 6− −
6. In a certain country, the temperature on the certain day was 30° C and on
the following day the temperature was 12° C use the concept of absolute
value to determine the temperature change in these two days.
7. If x is an integer, represent the absolute values of the solutions to each
of the following on a number line.
5 1 2 1
x
(a) − << (c) 4 x−< < (e) 2 ≤< 5
x
2 2 3 4
x
(b) − 1 << 7 (d) − 10 << 5 (f) 3 x−≤ < 3
x
2 2 3 2
8. The mean income of a certain company is 77 million Tanzanian shillings
per year. If the income varies by 1.2 million Tanzanian shillings, what
are the minimum and maximum income of the company?
9. An ice cream machine fills 160 g of ice cream in a cone. If the mass of
ice cream varies by 5 g, find the heaviest and lightest cone the machine
can fill.
10. In a part time job, one person target to collect Tshs 105,000 per month.
Last month she was within Tshs 25,000 of her target. What is the minimum
amount that she might have made last month?

Chapter summary

a
1. A rational number is any number written in the form of , where both
a and b are integers and b ≠ 0. b
2. All terminating and repeating decimals are rational numbers.
3. A decimal number which neither terminates nor repeats is an irrational
number. Mathematics Form One
a
4. An irrational number cannot be written in the form of , where a and b
are integers and b ≠ 0. b

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