WorksheetsMIDTERM EXAM (REMMCRAT)
Total questions: 90
Worksheet time: 45mins
Which of the following is a Natural Number?
-5
1
0.35
π
Which of the following is an Irrational Number?
7.67
1/5
√2
215
Fill in the blank: The set of numbers {1, 2, 10, 215} are called _________.
Natural Numbers
Prime Numbers
Odd Numbers
Composite Numbers
Which of the following is NOT a Rational Number?
0.35
1/5
√5
-5
All Whole Numbers are also Integers.
True
False
Fill in the blank: The number 'e' belongs to the category of _________.
Irrational Numbers
Rational Numbers
Whole Numbers
Prime Numbers
Which of the following is a Whole Number?
-5
0
π
7.67
In mathematics, numbers are organized into a clear hierarchy of sets. Which of the following is NOT a property of natural numbers?
They are positive integers starting from 1
They include zero
They do not include negative numbers
They are also known as counting numbers
Fill in the blank: The symbol used to represent natural numbers is _____
N
Z
Q
R
Which of the following is an example of a natural number?
-5
0
2
π
Natural numbers include zero and negative numbers.
True
False
According to the hierarchy of numbers, which set includes all positive numbers including zero?
Whole Numbers
Natural Numbers
Integers
Rational Numbers
Which of the following is NOT a whole number?
0
2
-1
4
True or False: Whole numbers include decimal numbers.
True
False
Fill in the blank: The set of whole numbers does not include _______ numbers.
negative or decimal
positive
even
prime
Which of the following is an example of a natural number?
0
1
-5
7.67
In mathematics, numbers are organized into a clear hierarchy of sets. Which of the following is NOT a subset of Real Numbers?
Rational Numbers
Irrational Numbers
Integers
Letters
Fill in the blank: Integers include all whole numbers, including ______ numbers.
negative
prime
fractional
decimal
Which of the following is an example of an integer?
2.5
-3
π
√2
Types of Number: Integers True or False: Integers include decimal numbers.
True
False
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. Which of the following is the most common way to categorize and organize numbers?
Alphabetical order
Hierarchy of sets
By color
By size
Refer to the diagram showing the hierarchy of real numbers. Which of the following is an example of a rational number?
A) π
B) 1/5
C) √2
D) e
Refer to the diagram showing the hierarchy of real numbers. Which of the following is an example of an irrational number?
215
-5
√5
10
A rational number must have an integer numerator and a ______ denominator.
non-zero integer
positive integer
negative integer
zero
Which of the following numbers can be rewritten as a fraction?
0.75
π
e
√2
Which of the following is NOT a subset of Real Numbers?
A) Rational Numbers
B) Irrational Numbers
C) Imaginary Numbers
D) Integers
Based on the passage and diagram, which of the following is an example of an irrational number?
1/5
7.67
π
215
Fill in the blank: Irrational numbers cannot be expressed as a simple _______.
fraction
decimal
integer
percentage
True or False: The decimals of irrational numbers are non-repeating and non-terminating.
True
False
Which of the following is NOT an example of an irrational number?
A) π
B) √2
C) e
D) 10
Fill in the blank: Examples of irrational numbers include π, √2, ___, ...
e
4
0.5
-3
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. The most common way to categorize and organize numbers is in the following hierarchy: Which symbol is used to represent the set of Real Numbers?
N
Z
Q
ℝ
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. The most common way to categorize and organize numbers is in the following hierarchy: Real numbers include all ______ and ______ numbers.
rational, irrational
natural, whole
prime, composite
even, odd
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. The most common way to categorize and organize numbers is in the following hierarchy: Which of the following is an example of an irrational number?
1/5
-5
π
215
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. The most common way to categorize and organize numbers is in the following hierarchy: Which of the following is a natural number?
-1
0
2
-17
In mathematics, numbers are organized into a clear hierarchy of sets, where each set is a subset of the next one. The most common way to categorize and organize numbers is in the following hierarchy: Real numbers can be positive, negative, or zero.
True
False
Which of the following is a rational number?
π
1/5
√2
e
Which of the following is an irrational number?
2
0.35
√5
-1
Fill in the blank: The number π is an example of an ________ number. Refer to the diagram and the practical difference: Irrational numbers cannot be expressed as a ratio of two integers.
irrational
rational
prime
even
The decimal representation of a rational number always terminates or repeats in a predictable pattern.
True
False
Only for whole numbers
Only for irrational numbers
The number 215 is a natural number.
True
False
Cannot be determined
Only for even numbers
Which of the following statements is true?
A. Irrational numbers can be written as a ratio of two integers.
B. Rational numbers have non-terminating, non-repeating decimal representations.
C. Rational numbers can be written as a ratio of two integers and their decimal representation will either terminate or repeat.
D. Irrational numbers have decimal representations that terminate.
Fill in the blank: The exact value of an irrational number can only be represented by a ________ or a surd, not as a simple fraction or decimal. Refer to the practical difference section.
symbol
decimal
fraction
integer
Fill in the blank: N = {1, 2, 3, ...} is the set of ______ numbers.
natural
rational
prime
even
Fill in the blank: W = {0, 1, 2, 3, ...} is the set of ______ numbers.
whole
natural
prime
odd
Fill in the blank: Z = {...-3, -2, -1, 0, 1, 2, 3, ...} is the set of ______.
integers
natural numbers
prime numbers
even numbers
Q is the set of ______ numbers.
rational
irrational
natural
complex
Fill in the blank: Q' is the set of ______ numbers.
irrational
natural
whole
prime
Fill in the blank: R is the set of ______ numbers.
real
complex
natural
imaginary
Which of the following is a prime number from the set of even numbers?
2
6
10
12
Which of the following is an irrational number?
√2
3
1/4
0
Which of the following is a composite number from the set of odd numbers?
3
5
9
7
Identify the types of numbers in the set of notation. Write your answer in set notation symbols.
Q = {-5, -4, 13/4, -2, -1, 0, 1/8, 1, 2/3, 2, 7/3, 5}
N = {1, 2, 5}
Z = {-5, -4, -2, -1, 0, 1, 2, 5}
R = {-5, -4, 13/4, -2, -1, 0, 1/8, 1, 2/3, 2, 7/3, 5}
Identify the types of numbers in the set of notation. Write your answer in set notation symbols. The set of whole numbers: W = ______
W = {0, 1, 2, 3, 4, 5, 6, 7,...}
W = {1, 2, 3, 4, 5, 6, 7,...}
W = {-1, 0, 1, 2, 3, 4, 5,...}
W = {0, 2, 4, 6, 8,...}
Identify the types of numbers in the set of notation. Write your answer in set notation symbols.
Z = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}
N = {1, 2, 3, 4, 5, ...}
Q = {a/b | a, b ∈ Z, b ≠ 0}
R = {x | x is a real number}
Identify the types of numbers in the set of notation. Write your answer in set notation symbols.
π, √2, √3, √5, √7
2, 3, 5, 7, 11
0, 1, -1, 2, -2
π, 2, 3, 5, 7
Identify the types of numbers in the set of notation. Write your answer in set notation symbols.
R = {-5, -4, 13/4, -2, -1, 0, 1/8, 1, 2/3, 2, 7/3, 5, π, √3, √5, √7}
R = {-5, -4, -2, -1, 0, 1, 2, 5}
R = {π, √3, √5, √7}
R = {13/4, 1/8, 2/3, 7/3}
Identify the types of numbers in the set of notation. Write your answer in set notation symbols.
N = {1, 2, 3, 4, 5, 6, 7...}
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
Q = {a/b | a, b ∈ Z, b ≠ 0}
R = {all real numbers}
Which of the following is a Rational Number?
π
7.67
√2
e
Which of the following is an Irrational Number?
1/5
215
√5
-17
Fill in the blank: ___ is a Whole Number.
0
-1
1/2
2.5
Fill in the blank: ___ is a Natural Number.
1
-2
0.5
-1
Which of the following is NOT an Integer?
A) -1
B) 2
C) 0.35
D) -17
Fill in the blank: ___ is an example of an Irrational Number.
π
4
0.5
-2
Which category does the number 215 belong to?
Rational Numbers
Irrational Numbers
Whole Numbers
Natural Numbers
Which of the following numbers is both a Whole Number and a Natural Number?
0
1
-5
7.67
True or false? a) All integers are whole numbers
True
False
The number √16 is rational
True
False
c) π is a real number
True
False
Natural numbers do not include zero
True
False
Every real number is also a rational number
True
False
π is considered an irrational number because:
it cannot be expressed as a ratio of two integers.
it is a whole number.
it is a negative number.
it is a repeating decimal.
Which statement correctly explains the difference between rational and irrational numbers?
Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a fraction.
Rational numbers cannot be written as decimals, but irrational numbers can.
Irrational numbers are always negative, while rational numbers are always positive.
Rational numbers have non-repeating, non-terminating decimals, while irrational numbers have repeating decimals.
WHAT IS THE FULL NAME OF YOUR TEACHER IN REMMCRAT?
(Answer depends on the student's teacher; not provided in the image)
Edwin E. Jambre Jr
Edz E. Jambre Jr
Jose P. Reyes
Ana M. Lopez
True or false? a) All integers are whole numbers
True
False
The number √16 is rational
True
False
c) π is a real number
True
False
Natural numbers do not include zero
True
False
Every real number is also a rational number
True
False
π is considered an irrational number because:
it cannot be expressed as a ratio of two integers.
it is a whole number.
it is a negative number.
it is a repeating decimal.
g) Rational numbers and irrational numbers differ in which of the following ways?
Rational numbers can be expressed as a fraction, while irrational numbers cannot.
Rational numbers cannot be expressed as a fraction, while irrational numbers can.
Both rational and irrational numbers can be expressed as fractions.
Irrational numbers are always negative, while rational numbers are always positive.
WHAT IS THE FULL NAME OF YOUR TEACHER IN REMMCRAT?
EDWIN E JAMBRE, JR
MARIA L. SANTOS
JOHN P. DELA CRUZ
ANNA M. REYES
What are the two main types of properties mentioned in the passage?
Properties of Addition and Properties of Subtraction
Properties of Addition and Properties of Multiplication
Properties of Division and Properties of Multiplication
Properties of Subtraction and Properties of Division
Fill in the blank: The properties of real numbers are also known as ________, and they form the basis of arithmetic and algebra.
axioms
theorems
equations
constants
Which property states: The order in which you add two real numbers doesn't change the sum?
Commutative Property
Associative Property
Additive Identity Property
Additive Inverse Property
Which property is illustrated by the equation: (a + b) + c = a + (b + c)?
Commutative Property
Associative Property
Additive Identity Property
Additive Inverse Property
Fill in the blank: Adding a number to zero (the additive identity) doesn't change the original number. Example: a + ___ = a
0
1
a
-a
Which property states that the order in which you multiply two real numbers doesn't change the product?
Commutative Property
Associative Property
Multiplicative Identity Property
Multiplicative Inverse Property
Fill in the blank: According to the Commutative Property, 4 × 7 = ___ × 4 = 28.
7
4
14
3
Which property states that when multiplying three or more real numbers, the way you group them doesn't change the product?
Commutative Property
Associative Property
Multiplicative Identity Property
Multiplicative Inverse Property
