five college number theory

Question: When a rational number can be expressed as terminating decimal? Answer: A rational number can be expressed as terminating decimal, when the factors of its denominator are in the form 2 n x 5 ..

If a:b = 5:8. Find the value of a 2 b+ab 2 :a 3 +b 3..

Question: For given sequence, find the first four terms. Answer: ..

If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..

Question: Find the first five terms of the sequence defined by t n = 6 - 4n. Which term of the sequence is -50? Answer: t n = 6 - 4n When n = 1, t 1 = 6 - 4(1) = 2 When n = 2, t 2 = 6 - 4(2) = -2 When n = 3, t 3 = 6 - 4(3) = -6 When n = 4, t 4 = 6 - 4(4) = -10 When n = h..

It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..

Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..

) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..

a) 2:5 > 3:8 as 2x8 > 5x3 b) 2:5 < 5:7 as 2x7 < 5x5..

The compounded ratio of 2:3 and 4:5 is 2 x 4:3 x 5 i.e. 8:..