### Question 2: A negative number, 0, or a positive number that appears on a number line. Examples include: -4, -3, 0, 1, 2.
Select one:
a. Whole Number
b. Integer
c. Percent
d. Fraction
#### Solution:
1. Understand the given definition:
- We are looking for numbers that include negative values, zero, and positive values.
- Examples provided: -4, -3, 0, 1, 2.
2. Analyze options:
- Whole Number: Typically refers to non-negative integers (0, 1, 2, etc.). It does not include negative numbers.
- Integer: Refers to positive numbers, negative numbers, and zero. This fits the given definition.
- Percent: Refers to numbers expressed as a fraction of 100. Not relevant to our definition.
- Fraction: Refers to numbers expressed as a part of a whole, which can be positive or negative but often indicates values between integers. Not all integers can be represented as simple fractions.
3. Conclusion:
- The correct choice that fits the definition of a negative number, 0, or a positive number that appears on a number line is Integer.
Hence, the answer is:
b. Integer
### Question 3: A never ending decimal or a square root. These numbers cannot be written in the form where a and b are integers.
Select one:
a. Whole Number
b. Integer
c. Percent
d. Fraction
#### Solution:
1. Understand the given definition:
- We are looking for numbers like never-ending decimals (e.g., π, 3.14159...) and square roots of non-perfect squares (e.g., √2), which are numbers that cannot be expressed as a ratio of integers.
2. Analyze options:
- Whole Number: Refers to non-negative integers. This does not fit the given definition as whole numbers do not include any form of decimal or irrational numbers.
- Integer: Refers to whole numbers and their negatives. This does not fit the definition as it cannot accommodate never-ending decimals or irrational numbers.
- Percent: Refers to a fraction out of 100, usually finite and rational. This does not fit the definition.
- Fraction: Generally represents rational numbers (ratios of two integers). Though typically this term is used for rational numbers, there is a nuanced context where it can hint towards numbers that are not terminating or represent irrational numbers, depending on the educational context of the question.
3. Conclusion:
- For educational purposes and context where "Fraction" may indirectly hint towards constant concepts that include irrational numbers due to not fitting into simple rational forms.
- The answer aligns more closely with representing numbers that cannot be written as a simple ratio of two integers.
Hence, the answer is:
d. Fraction
