Everything Maths Grade 10

Exercise 1 – 3:

1.Determine between which two consecutive integers the following numbers lie, without using a calculator:

a)

p

18 b)

p

29 c)^3

p

5 d)^3

p

79 e)

p

155

f)

p

57 g)

p

71 h)^3

p

123 i)^3

p

90 j)^3

p

81

2.Estimate the following surds to the nearest 1 decimal place, without using a calculator.

a)

p

10 b)

p

82 c)

p

15 d)

p

90

3.Consider the following list of numbers:

27

7 ;

p

19 ; 2;0,45;0,45 ;

√

9

4 ; 6 ;

p

8 ;

p

51

Without using a calculator, rank all the numbers in ascending order.

For more exercises, visit http://www.everythingmaths.co.za and click on ’Practise Maths’.

1a.2DDW 1b.2DDX 1c.2DDY 1d.2DDZ 1e.2DF2 1f.2DF3 1g.2DF4 1h.2DF5

1i.2DF6 1j.2DF7 2a.2DF8 2b.2DF9 2c.2DFB 2d.2DFC 3.2DFD

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1.6 Products EMAB

Mathematical expressions are just like sentences and their parts have special names. You should be familiar
with the following words used to describe the parts of mathematical expressions.

3 x^2 + 7xy 53

Name Examples

term 3 x^2 ; 7xy; 53

expression 3 x^2 + 7xy 53

coefficient 3 ; 7

exponent 2 ; 1 ; 3

base x;y; 5

constant 3 ; 7 ; 5

variable x;y

equation 3 x^2 + 7xy 53 = 0

Multiplying a monomial and a binomial EMAC

A monomial is an expression with one term, for example, 3 xory^2. A binomial is an expression with two terms,
for example,ax+borcx+d.

Worked example 7: Simplifying brackets

QUESTION

Simplify:

2 a(a1) 3

(

a^2  1

)

16 1.6. Products