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1.1 Exercises

From Förberedande kurs i matematik 1

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       Theory          Exercises      


Exercise 1.1:1

Work out (without the help of a calculator)

a) 374+65 b) 3(74)+(65)
c) 3(7(4+6)5) d) 3(7(4+6))5


Exercise 1.1:2

Simplify

a) (3(74))(65) b) 3(((74)+6)5)
c) 3(7)4(65) d) 3(7)(4+6)(5)


Exercise 1.1:3

Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?

a) 8 b) 4 c) 84
d) 48 e) 8(4) f) (8)(4)


Exercise 1.1:4

Which of the following belong to the natural numbers? integers? rational numbers? irrational numbers?

a) 48 b) 48 c) 32 
d) 422  e) f) +1


Exercise 1.1:5

Arrange the following numbers in ascending order

a) 2, 53, 35 och 37
b) 21, 51, 310 och 31
c) 21, 32, 53, 85 och 3421


Exercise 1.1:6

Give the decimal expansion of the following to three decimal places.

a) 67 b) 49 c) 72 d) 2 


Exercise 1.1:7

Which of the following numbers are rational? Give them as a fraction of two integers.

a) 314
b) 3141614161416...
c) 02001001001...
d) 0101001000100001... (one 1:, one 0:, one 1:, two 0:s, one 1:, three 0:s etc.)