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1.2.1 Directed Numbers, PT3 Practice

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1.2.1 Directed Numbers, PT3 Practice 1
Question 1:
Complete the following calculation.
− 4.6 × ( 3 5 − 1 3 4 ) = − 4.6 × ( 0.6 − x ) = − 4.6 × x = x

Solution:
− 4.6 × ( 3 5 − 1 3 4 ) = − 4.6 × ( 0.6 − 1.75 ) = − 4.6 × − 1.15 = 5.29


Question 2:
Complete the following calculation.
− 43 + 35 ÷ 1 1 6 = − 43 + 35 ÷ 7 6 = − 43 + 35 × x = − 43 + x = − 13

Solution:
− 43 + 35 ÷ 1 1 6 = − 43 + 35 ÷ 7 6 = − 43 + 35 × 6 7 = − 43 + 30 = − 13



Question 3:
Calculate each of the following.
  (a) (–9) × 14
  (b)   6.7 – 3.2 × (–0.5)  
  (c) –144 ÷ (–8) ÷ (–2)   

Solution:
 (a) (–9) × 14 = –126
 (b)   6.7 – 3.2 × (–0.5) = 6.7 – (–1.6)
= 6.7 + 1.6
 = 8.3
 (c) –144 ÷ (–8) ÷ (–2) = –144 ÷ 4
= 36


Question 4:
Calculate the value of
0.6 + ( − 1 2 3 ) ÷ ( 4 15 ) − 2

Solution:
0.6 + ( − 1 2 3 ) ÷ ( 4 15 ) − 2 = 0.6 + [ − 5 3 × 15 5 4 ] − 2 = 0.6 + [ − 25 4 ] − 2 = 0.6 − 6 1 4 − 2 = 0.6 − 6.25 − 2 = − 7.65



Question 5:
Calculate the value of
( − 0.6 × 1 1 4 ) − [ − 1.6 × ( − 1.5 ) ] ÷ 0.4

Solution:
( − 0.6 × 1 1 4 ) − [ − 1.6 × ( − 1.5 ) ] ÷ 0.4 = ( − 0.6 − 0.3 × 5 4 2 ) − [ − 1.6 − 4 × ( − 1.5 ) 0.4 1 ] = − 1.5 2 − 6 = − 0.75 − 6 = − 6.75