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
    	    =		                            =


                                              1                          © Penerbitan Pelangi Sdn. Bhd.
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




© Penerbitan Pelangi Sdn. Bhd.                   2
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
      	    =		                             =




                                              3                          © Penerbitan Pelangi Sdn. Bhd.
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?




© Penerbitan Pelangi Sdn. Bhd.              4

Chap01

  • 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 = = 1 © Penerbitan Pelangi Sdn. Bhd.
  • 2.
    6. Find theproduct 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 © Penerbitan Pelangi Sdn. Bhd. 2
  • 3.
    1 4. Evaluateeach 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 = = 3 © Penerbitan Pelangi Sdn. Bhd.
  • 4.
    2 1. Evaluatethe 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? © Penerbitan Pelangi Sdn. Bhd. 4