Page 25 - Mathematics

Example 2.9

1 1
A wire is divided into two pieces of lengths 2 cm and 2 cm. Find the
total length of the wire in decimals. 3 2

Solution 1 1 Tanzania Institute of Education
Given the lengths of the two pieces of wire as 2 cm and 2 cm. Add the
mixed fractions as follows: 3 2
1 1 7 5
2 + 2 = +
3 2 3 2

29
=
6

Divide 29 by 6 using the long division method to obtain 4.83.

Therefore, the total length of the wire is 4.83 cm.

Exercise 2.3

1. Convert each of the following fractions into decimals.
6 8 25
(a) 7 (c) 11 (e) 13
11 102 21
(b) (d) (f)
6 90 13

2. Which of the following rational numbers are repeating decimals?
1 22 2 20
(a) (b) (c) 3 (d)
9 7 3 11
1

3. Which is greater between 0.12 and ?
3
11 5
 
4. Write the following numbers in ascending order: , 0.472, and .
23 11
23
5. Show that = 2.55555
9
1
6. Mwajuma has of a chocolate bar. She decides to share it equally Mathematics Form One
3
among her 5 friends. How much chocolate will each friend get? Write
your answer in fraction and decimal.

19

25/10/2024 09:51:06
Mathematics form 1.indd 19 25/10/2024 09:51:06
Mathematics form 1.indd 19