Question

Write all the names that apply to each number .

7/8
Sq root 36
Square root 24
0.75
0
Sq root -100
5.45555
-18/6

Answer 1

Definitions:
1. A real number can be represented on a number line.
2. A rational number can be represented as a fraction, with both the numerator and denominator as integers. The denominator cannot be zero.
3. An irrational number has decimals that go on indefinitely.
4. An integer is a real number that is countable.
5. A repeating decimal has a group of numbers that repeat indefinitely as decimals.
6. A complex number involves the use of the quantity i, defined as i² = -1.

Answers:
a. 7/8
Real, Rational.

b. √36
Real, Rational because its value is +6 or -6.

c. √24
Real, Irrational.

d. 0.75
Real, rational because 0.75 = 3/4.

e. 0
Real, rational

f. √(-100)
Complex, because √(-1) * √100 = +/- i√100

g.
`5.\overline{45}`
Irrational, Repeating decimal because

`5.\overline{45} = 5.4545454545 ...`

h -18/6
Real, Integer, Rational because -18/6 = -3.