Question #a9ecd

2 Answers
May 26, 2017

Yes.

Explanation:

In short if we take the number #7/5#, we can convert it to a decimal - #1.4#. Next, we can decide if the number is rational (real), irrational (complex) or even intermediate.

Real:
- Finite number of decimal points
- Whole number

Complex:
- "unreal"
- Example: #sqrt -1#

Intermediate:
- Has no definite value
- Example: #0^0#

All the best!

May 26, 2017

#7/5# is written in fraction form and is therefore rational.

Explanation:

By definition, a rational number is one that can be written in the form of a fraction, ie:

#p/q#, where #p and q# are integers and #q !=0#

There is no restriction on the size or sign of #p and q#.

They just need to be whole numbers (not #sqrt2, pi, # and so on.)

#7/5# meets these requirements, and it is therefore rational.

It can be written as: #" "1 2/5 or 1.4#

We know EXACTLY where this number lies on the number line!