2.2.1 Squares, Square Roots, Cube and Cube Roots, PT3 Practice 1


2.2.1 Squares, Square Roots, Cube and Cube Roots, PT3 Practice 1

Question 1:
Calculate the values of the following:
(a)5098(b)11764(c)810.01(d)3.24  

Solution:
(a)5098=50259849=2549=57

(b)11764=8164=98=118

(c)810.01=91100=9110=90.1=8.9

(d)3.24=324100=3625=8125=95=145



Question 2:
Calculate the values of the following:
(a)316250(b)34256(c)30.008(d)30.729   

Solution:
(a)316250=38125=25

(b)34256=3164=14

(c)30.008=381000=210=0.2

(d)30.729=37291000=910=0.9



Question 3:
Find the value of 3338+21425.  

Solution:
3338+21425=3278+6425=32+85=3110=3110



Question 4:
Find the values of the following:
  (a) 1 – (–0.3)3.
  (b) (2.1÷327)2  

Solution:
(a)
1 – (–0.3)3 = 1 – [(–0.3) × (–0.3) × (–0.3)]
  = 1 – (–0.027)
  = 1 + 0.027
  = 1.027

(b)
(2.1÷327)2=(2.1÷3)2=(0.7)2=0.49



Question 5:
Find the values of the following:
(a)(9+38)2(b)144÷3216×0.33  

Solution:
(a)(9+38)2=[9+(2)]2=72=49

(b)144÷3216×0.33=144÷6×(0.3×0.3×0.3)=24×0.027=0.648