The decimal expansion of the rational number 33/22×5 will terminate after
(a) One decimal place
(b) Two decimal places
(c) Three decimal places
(d) Four decimal places
Solution:
(b) Two decimal places.
33/22×5 = 33×5/22×52 = 33×5/102 – 33×5/100
Since no. of zeros is 2.
√10×√15 is equal to
(a) 6√5
(b) 5√6
(c) √25
(d) 10√5
Solution:
(b) 5√6 is correct
Hint: √10 × √15
= √2 × √5 × √3 × √5
= 5 × √6
= 5√6
More Solutions:
- Express the following numbers in the form p/q.
- Classify the following numbers as rational or irrational:
- what can you say about the prime factors of q?
- Insert an irrational number between the following.
- Insert two irrational numbers between 2 and 3.
- Find one rational number between √2 and √3.
- Insert irrational numbers between √5 and √7.
- Simplify the following: (i) √45 – 3√20 + 4√5
- Simplify the following: (i) (5 + √7) (2 + √5).