KNOWLEDGE/UNDERSTANDING

(1). Use number lines to evaluate the following expressions. (2 Marks each)

(a). 7 ³/₈+4 ¹/₈

(b). 7 ³/₈-4 ¹/₈

(c). 6 ²/₃+5 ² /₃

(d). 3 ²/₅+ 1 ⁴/₅

(2) Between which two whole numbers will each sum lie? (2 Marks each)

(a). 4 ¹/₂+ 8 ¹/₆

(b). 3³/₄ + 6 ¹/₅

(c). 4 ¹/₃+12 ⁵/₈

(d). 1 ⁴/₅ + 6 ²/₃

(e). 34 ⁷/₁₀+16³/₄

(f). 11¹/₂+ 41³/₅

(3). Evaluate the expressions in question 2

THINKING/INQUIRY.

(1). Determine two mixed numbers, with different denominators, that have the following properties. (2 Marks each)

(a). A sum of3⁴/₅

(b). A difference of3⁴/₅

(2). A large bottle holds 1 ³/₄ times the amount of liquid of a small bottle. Determine the number of large bottles that would hold the same amount as 10 ¹/₂small bottles. (3 Marks)

COMMUNICATION

(1). Explain each of the following. You may use diagrams to show your explanations. (2 Marks each)

(a). Why is 3 ²/₅- 1 ⁴/₇the same as ³/₇ + 1²/₅ ?

(b). Why is 3 ²/₃ - 1⁵/₆ the same as 3 ⁵/₆ - 2