There is an infinite number of ways to represent 1 on the number line. in the space below, write at least four expressions multiplying by 1. represent one differently in each expression.

1) ok, we know that if we divide one number by the same number, the solution is 1 ; this is: a/a = 1

so we could write something as:

3 = 3*1 = 3*(5/5) = (3*5)/5 = 15/5

so 3 = 15/5

this is especially useful when working with addition of fractions.

2) this is really useful if you have a square root in the denominator.

for example :

3) you also could do this in the next way:

3 = 3*1 = 3*(7/7) = 3*(3+4)/7= 9/7 + 12/7

where i splitted the 7 into 3 +4, this relation could be useful sometime.

4) if you do the difference between some number and the prior number; you get one; this is : (5 -4) =1

then: 3= 3*1 = 3*(5 - 4) = 15 - 12

good luck on your studies! : )

david edward.