# Real Amount and Pic

TUTORIAL: QUANTITY SYSTEM

1 ) Determine whether each statement is true or perhaps false

a) Every counting number can be an integer

b) Absolutely no is a counting number

c) Negative 6 is higher than negative three

d) A number of the integers can be natural quantities

2 . List the number describe and chart them around the number range a) The counting amount smaller than 6

b) The integer between -3 and 3

a few. Given T = -3, 0,[pic], [pic], e, , 4, 8вЂ¦, identify the set of (a) natural numbers(b) whole numbers(c) integers

(d) rational numbers (e) illogical numbers(f) genuine numbers

5. Express each of the numbers being a quotient [pic]

(a) zero. 7777вЂ¦вЂ¦(b) 2 . 7181818вЂ¦.

a few. Write all the following inequalities in period notation and possess them on the real amount line. (a) 2 < x < 6(b) (5 < times < (1

(c) (3 ( times ( 7(d) (2 < x ( 0

(e) x < 3 (f) x ( (1

(g) x ( (2(h) (3 ( back button < 2

6. Show each of the following intervals within the real quantity line. (a) [(2, 3](b) ((4, 4)

(c) (((, 5](d) [(1, ()

(e) ((3, 6](f) [(2, 3)

(g) ((2, 0) ( (3, 6)(h) [(6, 2) ( [(3, 7)

a couple of Evaluate

(a) [pic](b) 27[pic](c) [pic](d) [pic]

(e) (0. 36)[pic](f) (2. 56)[pic](g) [pic](h) [pic]

several. Simplify the following expressions:

(a)3[pic] (b) 4[pic]

(c)9[pic][pic](d) 5[pic]

almost eight. Solve the next equations:

(a) 9[pic]= 27(b) 3[pic]= 243(c) 2[pic] = [pic]

(d)4[pic](e) x[pic](f) 4x[pic]

(g)7[pic]- 49[pic]= 0(h) (4[pic]= 4[pic]

on the lookout for. Solve the equations:

(a) [pic] (b) [pic]

(b) [pic] (d) [pic]

12. Express with regards to the simplest conceivable surds:

(a)[pic] (b) [pic]

(c) [pic] (d) [pic]

11. Make simpler:

(a) [pic] (b) ([pic]

(c) [pic]...