1. T ER
AP
1 Directed Numbers
CH
1. Evaluate each of the following.
(a) 13 × (–10) (b) –7 × 3
= =
2. Solve the following problems.
(a) Palm oil is pumped into an empty tanker at 200 litres per minute. How much palm
oil is in the tanker after 5 minutes?
(b) Siti takes 4 vitamin tablets a day from a box of vitamin tablets. How many tablets
are eaten by Siti after 30 days?
3. Find the value for each of the following.
(a) –144 ÷ (–12) (b) –28 ÷ 4
= =
4. Solve the following problems.
(a) During a TV Quiz open to home viewer, a total of RM2884 was given out in 7 minutes.
How much money was given in a minute?
(b) 210 m3 water was pumped out from a swimming pool in 12 minutes. How much
water was pumped out in 2 minutes?
5. Find the values for each of the following.
(a) 15 – (–4) + (–7) (b) –8 + 0 – (–15)
= =
(c) 8 + 2 – (–10) (d) –6 + 5 – (–1)
= =
(e) 4 – (–2) – 17 (f) 15 – (–2) – (–3)
= =
(g) 25 – 2 + (–9) – 1 (h) 3 + (–8) + (–7)
= =
(i) –6 + (–5) + (–7) – (–4) (j) 5 + (–8) – (–9) + 7
= =
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2. 6. Find the product for each of the following.
(a) –3 × (–8) × (–4) (b) 6 × (–6) × 7
= =
7. Compute each of the following.
(a) 168 ÷ (–7) ÷ (–4) (b) 150 ÷ (–5) ÷ 6
= =
8. Compute each of the following.
(a) 6 × (–12) ÷ 9 (b) 15 × (–4) ÷ 12
= =
9. Evaluate each of the following.
(a) –7 + 18 ÷ (–2) (b) –19 × 3 – 47
= =
(c) 21 ÷ (–7) + (–12) (d) 16 + 0 × (–15)
= =
(e) 21 – 24 ÷ (–3) – 10 (f) 81 ÷ (–9) – (–5) × 4
= =
(g) 30 ÷ (–5) × 8 – (–13)
=
1
0. Solve the following problems.
(a) (–15) is subtracted from (– 42). The difference is divided by 9. Find the quotient.
(b) Hot-air is pumped into a hot-air balloon at 50 ml per second. Some hot-air leaks out
1
at 15 ml per second. How much hot-air is there after — hour?
2
1
1. Complete the following number line.
–4 –3 –2
1
2. Arrange the following fractions in descending order.
1 1 2 1 1
–4 — , –2 — , –3 — , –1 — , –2 —
4 4 5 2 2
7 1
3. Evaluate –5 — + 1–2 — 2 and simplify the answer to the lowest term.
1
12 3
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3. 1
4. Evaluate each of the following and simplify the answers to the lowest term.
1 1
(a) –3 — × 1 — 7 1
(b) — ÷ 1– — 2 1 1
(c) –1 — ÷ 1–1 — 2
8 15 12 4 2 8
= = =
7 1
(d) – — ÷ 1 — 8 2
(e) — ÷ 1– — 2 1 1
(f) 2 — ÷ 1–6 — 2
24 6 15 5 7 4
= = =
1
5. Complete the following number line.
–8 –7
1
6. Arrange the following decimals in ascending order.
3.2, –2.5, –3.6, 4.1, –1.2
1
7. Evaluate each of the following.
(a) –4.1 + (–1.6) (b) –4.61 – (–8.32) (c) –(–6.32) – 1.48
= = =
(d) –(2.15) – (–3.82) (e) –0.1 – (–0.08) (f) –3.24 + (–8.178)
= = =
1
8. Evaluate the following.
(a) 1.8 ÷ (–0.2) (b) –4.92 ÷ 1.2 (c) –6.3 × 2.6
= = =
(d) –11.4 ÷ (–5.7) (e) 24.96 ÷ (–3.2) (f) –17.3 × –0.4
= = =
1
9. Evaluate each of the following.
1
(a) 1.3 – 7 — 7
(b) — + (–6)
5 15
= =
2
0. Evaluate each of the following.
3
(a) –5 — ÷ 1.2 2
(b) –13.5 × 1 —
5 3
= =
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4. 2
1. Evaluate the following.
2 1
(a) 31 — – (–0.7)4 × 2 — 1 1
(b) 4.811 — – 22 ÷ 8 —
5 6 6 3
= =
2
2. Mr. Chan’s shop lost 3.5% of his customers every month for 5 months. After a sales
3
promotion, the customers increased by 2 — % per month for the next 7 months. What is
5
the average change of customers in that year?
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