UNIT 4
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UNIT 4

 

Text One

 

A line is a particular set of points.

 

There is an infinite number of points on a line; there are also infinitely many points between any two distinct points of a line. A line is uniquely determined by any two distinct points, e.g. by points A and B.

The set of points which contains points A and B and all points of the line between these two points is called a line segment. There is an infinite number of points on a line segment.

There are infinitely many points contained in a line and there is also an infinite number of points contained in any line segment.

 

Although a line extends infinitely in two directions while a line segment is contained between two distinct points on a line, the number of points in a line is not greater than the number of points in a line segment.

 

Exercise: True or false?

1. A line is contained between two points.

2. A line segment extends infinitely in two directions.

3. A line segment is contained between two distinct points on a line.

4. A line contains a greater number of points than a line segment.

 

Text Two

 

a + b = c

 

 

a - b = d

 

 

a · b = e

 

 

a ÷ b = f

a added to b gives c

The operation is called addition.

 

b subtracted from a gives d.

The operation is called subtraction.

 

a multiplied by b gives e.

The operation is called multiplication.

 

a divided by b gives f.

The operation is called division.

 

Numbers may be so arranged in a square that each row, column and diagonal will add up to the same total. Squares of this kind are known as magic squares.

 

Exercise: True or false?

1. The sign ·  indicates the operation of addition.

2. The sign ÷ indicates the operation of division.

3. The operation of subtraction is indicated by the sign +.

4. The operation of multiplication is indicated by the sign -.