Menu

Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Place Value


Place value means that each digit within a number represents a value depending on its position. For example, in the number 452, the digit 2 would represent 2 units, the 5 would represent 5 tens (or 50) and the 4 would represent 4 hundreds (400).

Moving from right to left, each digit is 10 times larger, or from left to right, each digit in 10 times smaller. This is also true for decimal numbers.

In order to work out which value represents what, we can use a place value chart.

Example 1 :

Let’s use a place value chart to find out what all the numbers in 87 543 mean. To make it easier to put the digits in the right box, we can start by placing the unit in its box first, then moving left.

The 8 represents 80 000

The 7 represents 7 000

The 5 represents 500

The 4 represents 40

The 3 represents 3

Example 2 :

Let’s try a slightly harder place value chart, with a number that has decimals. The number we’ll use is 76.23. After the units column, to the left we must put a tenths column, then a hundredths column etc. You can draw a decimal point between the boxes for units and tenths.

The 7 represents 70

The 6 represents 6 units

The 2 represents 2 tenths or 0.2

The 3 represents 3 hundredths or 0.03

 

Place Value Exercise


 

1) Express the following number in figures.

a. Four thousand, two hundred and twenty.

b. Eleven point three

 

 

2) From the following set of number, identify and put a circle around the largest number and a square around the smallest number.

a) 0.3, 2.12, 0.03, 0.4, 0.04, 4, 4.12.
b) 14.2, 13.4, 14.02, 15.6, 4.12, 0.142

 

 

3) What is the value of the number q in each of these set of numbers ?

a) 14923

b) 1690

c) 14.9

 

 

4) Use the following four number make the smallest and largest number you can.
6294Largest number :

Smallest number :

 

 

5) Joe claims that he own three thousand and thirty five pair of cards.
Bilal claim that he own three thousand and fourty two pair of cards.
Who how more of cards?
Tick the correct box .

Joe Bilal

c) in figures ,write down the largest number of cards.

 

 

 

 

 


“One day or day one. 
You decide.”

++44 (0)1924 506010