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 -.