Evaluate: (i) (1.2)3 (ii) (3.5)3 (iii) (0.8)3 (iv) (0.05)3

1.	Evaluate: (i) (1.2)3 (ii) (3.5)3 (iii) (0.8)3 (iv) (0.05)3
Answer» (i) To calculate the cube of (1.2)³ We have to multiply the given number three times; = (1.2 × 1.2 × 1.2) = 1.728 Now by converting it into fraction we get, = \(\frac{1728}{1000}\) = \(\frac{216}{125}\) (ii) To calculate the cube of (3.5)³ We have to multiply the given three times; = (3.5 × 3.5 × 3.5) = 42.875 Now by converting it into fraction we get, = \(\frac{42875}{1000}\) = \(\frac{343}{8}\) (iii) To calculate the cube of (0.8)³ We have to multiply the given number by its power; = (0.8 × 0.8 × 0.8) = 0.512 Now by converting it into fraction we get, = \(\frac{512}{1000}\) = \(\frac{64}{125}\) (iv) To calculate the cube of (0.05)³ We have to multiply the given number by its power; = (0.05 × 0.05 × 0.05) = 0.000125 Now by converting it into fraction we get, = \(\frac{125}{1000000}\) = \(\frac{1}{8000}\)

Answer»

(i) To calculate the cube of (1.2)³

We have to multiply the given number three times;

= (1.2 × 1.2 × 1.2) = 1.728

Now by converting it into fraction we get,

= \(\frac{1728}{1000}\)

= \(\frac{216}{125}\)

(ii) To calculate the cube of (3.5)³

We have to multiply the given three times;

= (3.5 × 3.5 × 3.5) = 42.875

Now by converting it into fraction we get,

= \(\frac{42875}{1000}\)

= \(\frac{343}{8}\)

(iii) To calculate the cube of (0.8)³

We have to multiply the given number by its power;

= (0.8 × 0.8 × 0.8) = 0.512

Now by converting it into fraction we get,

= \(\frac{512}{1000}\)

= \(\frac{64}{125}\)

(iv) To calculate the cube of (0.05)³

We have to multiply the given number by its power;

= (0.05 × 0.05 × 0.05) = 0.000125

Now by converting it into fraction we get,

= \(\frac{125}{1000000}\)

= \(\frac{1}{8000}\)

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