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Questions and Answers
What is the result of dividing 204 by 17?
What is the result of dividing 204 by 17?
- 10
- 12
- 16
- 14 (correct)
The statement '0 ÷ 32 = 0' is true.
The statement '0 ÷ 32 = 0' is true.
True (A)
What is the result of dividing 0 by (-82)?
What is the result of dividing 0 by (-82)?
0
The expression (-37) ÷ 0 is __________.
The expression (-37) ÷ 0 is __________.
Match the following expressions with their results:
Match the following expressions with their results:
What is the result of $427 x 8 + 2 x 427$?
What is the result of $427 x 8 + 2 x 427$?
The expression $394 x 12 + 394 x (-2)$ simplifies to $394 x (12 - 2)$.
The expression $394 x 12 + 394 x (-2)$ simplifies to $394 x (12 - 2)$.
If the sum of two integers is -15 and one of them is 9, what is the other integer?
If the sum of two integers is -15 and one of them is 9, what is the other integer?
What is the result of $558 x 27 + 3 x 558$?
What is the result of $558 x 27 + 3 x 558$?
The expression $1925 x 101 - 1925$ can be written as $1925 x (101 - ______)$.
The expression $1925 x 101 - 1925$ can be written as $1925 x (101 - ______)$.
The difference between an integer and -6 is equal to 6 when the integer is 0.
The difference between an integer and -6 is equal to 6 when the integer is 0.
Match the equations to their distributive property forms:
Match the equations to their distributive property forms:
What is the value of x if the difference between x and -9 is 6?
What is the value of x if the difference between x and -9 is 6?
Which of the following expressions equals $673 x 9 + 673$?
Which of the following expressions equals $673 x 9 + 673$?
The sum of two integers is -56. If one integer is -42, the other integer is ____.
The sum of two integers is -56. If one integer is -42, the other integer is ____.
The equation $(-15) – (8) x -6$ equals to $(-15) x (-6) – 8 x (-6)$ is correct.
The equation $(-15) – (8) x -6$ equals to $(-15) x (-6) – 8 x (-6)$ is correct.
Match the following scenarios with their results:
Match the following scenarios with their results:
Evaluate the expression $394 x 10$.
Evaluate the expression $394 x 10$.
What is the result of multiplying -2, -3, -4, -5, and -6?
What is the result of multiplying -2, -3, -4, -5, and -6?
The sum of -45 and another integer is 28. The other integer must be positive.
The sum of -45 and another integer is 28. The other integer must be positive.
Evaluate the result of multiplying (-1) 80 times.
Evaluate the result of multiplying (-1) 80 times.
Flashcards
Distributive Property of Multiplication over Addition
Distributive Property of Multiplication over Addition
Multiplying a number by the sum of two or more numbers is the same as multiplying the number by each of the numbers individually and then adding the results.
Distributive Property of Multiplication over Subtraction
Distributive Property of Multiplication over Subtraction
Multiplying a number by the difference of two or more numbers is the same as multiplying the number by each of the numbers individually and then subtracting the results.
Commutative Property of Addition
Commutative Property of Addition
The sum of two or more integers is equal to the sum of the integers in any order.
Commutative Property of Multiplication
Commutative Property of Multiplication
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Additive Inverse
Additive Inverse
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Multiplicative Inverse
Multiplicative Inverse
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Zero Property of Multiplication
Zero Property of Multiplication
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Identity Property of Addition
Identity Property of Addition
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Difference
Difference
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Sum of Integers
Sum of Integers
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Integer
Integer
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Order of Operations
Order of Operations
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Odd Number of Multiplications of (-1)
Odd Number of Multiplications of (-1)
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Even Number of Multiplications of (-1)
Even Number of Multiplications of (-1)
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Mathematical Expression
Mathematical Expression
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Evaluation
Evaluation
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Dividing by zero
Dividing by zero
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Dividing by 1
Dividing by 1
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Dividing a number by itself
Dividing a number by itself
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Dividing zero by any number
Dividing zero by any number
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Quotient
Quotient
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Study Notes
Integer Operations
- Integer operations involve addition, subtraction, multiplication, and division of integers.
- Multiplication and division of integers follow specific rules regarding the signs.
- Multiplication: A positive multiplied by a positive or a negative multiplied by a negative results in a positive product. A positive multiplied by a negative results in a negative product.
- Division: The rules for division of integers are the same as for multiplication of integers.
Evaluating Expressions
- Evaluate expressions using the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
- Ensure the correct order of solving operations to obtain the correct answer.
- Pay attention to the grouping of numerical and algebraic expressions and solve according to the order of their grouping.
Verification
- Verification involves showing that both sides of an equation or statement result in the same answer.
- Both sides of equations need to demonstrate equality.
Positive and Negative Integers
- Recognize that multiplying or dividing two integers with the same sign produces a positive result.
- Multiplying or dividing two integers with different signs produces a negative result.
- The number of negative factors in a calculation influences the sign of the result. An odd number of negative factors results in a negative product; an even number results in a positive product.
Identifying Greater Values
- Employ mathematical order of operations (BODMAS/PEMDAS) to evaluate expressions and calculate values.
- Determine the values of the expressions using the order of evaluating them to establish which one is greater.
Integer Concepts
- The product of a set of integers is positive if there is an even number of negative integers.
- If there is an odd number of negative integers, the product is negative.
- The product of any integer with zero is always zero.
- The product of two integers has the same sign if they have the same signs; opposite signs result in a negative sign.
- The product of a positive integer and a negative integer results in a negative number.
Dividing Integers
- Dividing integers involves determining the quotient (result) of an integer when divided by another.
- Understand that dividing a positive number by a positive number results in a positive quotient.
- Dividing a negative number by a positive number results in a negative quotient.
- Dividing a positive number by a negative number results in a negative quotient.
- Dividing a negative number by a negative number results in a positive quotient.
Finding Integer Values
- Determine the missing integer or integers in a set of integers based on mathematical principles and conditions.
- Understand and apply procedures for solving equations and calculating unknown values accurately, maintaining correct order of operations.
Integer Order Of Operations
- Expressions using a mixture of addition, subtraction, multiplication, and division of integers should evaluate expressions according to the order of operations.
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