1.
Which of the following are integers?
Correct Answer(s)
A. 4
C. -5
D. 0
Explanation
-3.2 is not an integer because it has a decimal part to it.
7/2 is not an integer because it is equation 3.5 which has a decimal part.
2.
7 is what type of number(s)?
Correct Answer(s)
A. Integer
B. Whole
C. Natural
Explanation
The number 7 is an integer because it is a whole number without any fractional or decimal part. It is also a whole number because it is not a fraction or a decimal, and it is a natural number because it is a positive whole number. Therefore, the number 7 falls into all three categories: integer, whole, and natural.
3.
True or False? The whole numbers are 0, 1, 2, 3, ...
Correct Answer
A. True
Explanation
The statement is true because whole numbers include all the positive integers starting from 0 and continue indefinitely. Therefore, the whole numbers include 0, 1, 2, 3, and so on.
4.
Which of the following are whole numbers?
Correct Answer(s)
B. 0
C. 4
Explanation
Whole numbers are a set of numbers that include all the positive integers (including zero) and their corresponding negatives. In this question, the numbers -4, 0, 4 are all integers, and 8.6 is not. However, the number 0 is the only whole number in the list since it is an integer and its negative counterpart is also included in the set of whole numbers. Therefore, the correct answer is 0 and 4 is incorrect.
5.
Which of the following are natural numbers?
Correct Answer
D. 10
Explanation
Natural numbers are positive integers greater than zero. In this case, the number 10 is the only option that fits this criteria. -2 is a negative integer, 0 is not positive, and 0.5 is a decimal. Therefore, the only natural number among the given options is 10.
6.
True or False? The integers are ...-2, -1, 0, 1, 2, ...
Correct Answer
A. True
Explanation
The given statement is true because the integers include both positive and negative whole numbers, as well as zero. The pattern of integers extends infinitely in both the positive and negative direction, with numbers increasing or decreasing by 1 each time. Therefore, the integers are indeed -2, -1, 0, 1, 2, and so on.
7.
True or False? The Natural numbers are 1, 2, 3, ...
Correct Answer
A. True
Explanation
The natural numbers are a set of positive integers starting from 1 and continuing indefinitely. They do not include zero or negative numbers. Therefore, the statement "The natural numbers are 1, 2, 3, ..." is true.
8.
-4 is what type of number(s)?
Correct Answer
A. Integer
Explanation
The number -4 is an integer because it is a whole number that can be positive or negative, including zero. Integers are a set of numbers that do not have any fractional or decimal parts.
9.
0 is what type of number(s)?
Correct Answer(s)
A. Integer
B. Whole
Explanation
The number 0 is considered an integer because it is a whole number that can be both positive and negative. It is also considered a whole number because it is not a fraction or a decimal. However, it is not considered a natural number because natural numbers start from 1 and do not include zero.