﻿ Reciprocals

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## Reciprocals

Background knowledge

1. Fractions

The four basic operations on fractions are:

b. Subtraction

c. Multiplication

d. Division

Background knowledge

1. Fractions

The four basic operations on fractions are:

b. Subtraction

c. Multiplication

d. Division

2. Decimals Decimals can be added and subtracted

Worked examples

a) 0.3457 + 0.06043

Solution 0.34570 0.06043 + 0.40613

b) 23.143 ' 1.95

Solution 23.143 1.950 ' 21.193

Decimals can be converted to fractions and vice versa

Worked examples

Standard form

Worked examples

Significant figures

Significant figures are used in approximations of numbers.

Worked example

(a) Write the following numbers to

3 significant figures

i. 3572 Solution 3572 = 3570 (3sf)

ii. 4.73478 Solution 4.73478 = 4.73 (3sf)

iii. 0.007235 Solution 0.007235 = 0.00724 (3sf)

The following quadratic identities are useful in expansion of binomial expressions.

(a + b)

2

= (a + b) (a + b)

= a (a + b) + b(a + b)

= a2 + ab + ab + b2
= a2+ 2ab + b2

(a b) 2 mn <>o OpPT ABC(a b) (a b)

||||||||||||| ||||||||||||||||2

1, \ |||||x|||||,a

y||||||||2y+2|||b

= a (a b) b(a b)
= a2 ab ab + b2
= a2 2ab + b2

(a2 + b2) (a b)

= a (a b) + b (a b)

LESSON OBJECTIVES

#### By the end of the topic you should be able to

:

• solve quadratic equations by factorization
• form and solve quadratic equations

Objectives

#### By the end of the lesson you should be able to:

relate and compute angle subtended by an arc at the circumference correctly.

relate and compute angle subtended by an arc at the centre and at the circumference correctly.

Angles Subtended by Same Arc at Cicumference

Example 1

Given the diagram below

What do you notice about arc XY?

It subtends angle X at the circumference.

Reciprocals

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Reciprocals

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KCSE ONLINE WEBSITE provide KCSE, KCPE and MOCK Past Papers which play a great role in students� performance in the KCSE examination. KCSE mock past papers serves as a good motivation as well as revision material for the major exam the Kenya certificate of secondary education (KCSE). Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE . Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective

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KCSE ONLINE WEBSITE provide KCSE, KCPE and MOCK Past Papers which play a great role in students� performance in the KCSE examination.

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective

Ask for clarification if in doubt, vitae dignissim est posuere id.

Reciprocals

sit amet congue Mock Past Papers, give you an actual exam situation in readiness for your forthcoming national examination from the Kenya National Examination Council KNEC

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien.

Choosing the KCSE mock examination revision material saves you a lot of time spent during revision for KCSE. It is also cost effective sapien.

Reciprocals

As a supplementary to coursework content our e-library for digitized multimedia CDs while enhance and ensure that you never missed that important concept during the normal class lessons. It is a Do it Yourself Project..

Candidates who would want their papers remarked should request for the same within a month after release of the results. Those who will miss out on their results are advised to check with their respective school heads and not with the examination council

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