Subtractioncan be denoted by
less than
subtracted from
decreased by
exceeds
shorter than
difference between
Multiplicationcan be denoted by
product
times
multiplied by
twice as large
three times a number
1
2 of a number
Divisioncan be denoted by
divided by
quotient of
Equalscan be denoted by
is
will be
is equal to
Here are some examples of how these phrases are translated into symbols:
Word Statement Symbolic Representation
Five times a numberx 5 x
Three more than a numberxxþ 3
A numberxdecreased by 7 x 7
One-half of a numberx^12 xorx 2
The square of a number x^2
Nine added to twice a numberx 9 þ 2 x
Four times a number minus eight 4 x 8
The cost ofxfeet of rope at 15 cents a foot 0.15x
LESSON 8 Algebraic Representation 83