a diagram shows:
rational numbers
3.4
integers
-2 -1.2
whole numbers
3
Which number is placed in the INCORRECT area of the diagram?
Responses
A 3.43.4
B −2−2
C −1.2−1.2
D 3
The number placed in the INCORRECT area of the diagram is A. 3.43.4.
The number placed in the incorrect area of the diagram is:
A) 3.43.4
To determine which number is placed in the incorrect area of the diagram, we need to understand the relationships between rational numbers, integers, and whole numbers.
Rational numbers include all numbers that can be written as a fraction, where the numerator and denominator are integers and the denominator is not zero. This category includes numbers like 3.4, which can be expressed as a fraction (e.g., 34/10).
Integers include all whole numbers (positive, negative, or zero) and their opposites. It does not include numbers with fractional parts. In this case, the integers shown in the diagram are -2 and -1.2. However, -1.2 is not an integer because it has a fractional part.
Whole numbers include all positive integers (including zero). In this case, the whole number shown in the diagram is 3.
Now let's examine the options:
Option A: 3.4 - This is a rational number, correctly placed in the diagram.
Option B: -2 - This is an integer, correctly placed in the diagram.
Option C: -1.2 - This is not an integer, so it should not be placed in the integers section. This is the incorrect placement.
Option D: 3 - This is a whole number, correctly placed in the diagram.
Therefore, the number placed in the incorrect area of the diagram is -1.2. The correct answer is option C.