Question

What type of number will result from (divided) 19 - 3/2
Integer
Whole number
Rational number
Irrational number

Answer 1

To determine the type of number that results from the expression \( 19 - \frac{3}{2} \), we first need to perform the calculation.

1. Convert \( 19 \) into a fraction with the same denominator as \( \frac{3}{2} \):
\[
19 = \frac{19 \times 2}{1 \times 2} = \frac{38}{2}
\]

2. Now, subtract \( \frac{3}{2} \):
\[
\frac{38}{2} - \frac{3}{2} = \frac{38 - 3}{2} = \frac{35}{2}
\]

The result is \( \frac{35}{2} \), which is a fraction.

Now we classify the type of number:
- An **integer** is a whole number that can be positive, negative, or zero (not applicable here, as \( \frac{35}{2} \) is not a whole number).
- A **whole number** is a non-negative integer (also not applicable here).
- A **rational number** is any number that can be expressed as a fraction of two integers (this includes \( \frac{35}{2} \)).
- An **irrational number** cannot be expressed as a fraction of two integers (not applicable here).

Since \( \frac{35}{2} \) can be expressed as a fraction of two integers, the result is a **rational number**.