addition, subtraction, division and multiplication of directed numbers Flashcards
(28 cards)
What is the result of adding two positive directed numbers?
The result is a positive directed number.
What is the result of adding a positive directed number and a negative directed number?
The result depends on the absolute values; it can be positive, negative, or zero.
True or False: The sum of two negative directed numbers is always negative.
True
Fill in the blank: The operation of subtraction can be thought of as adding the ______ of a number.
opposite
What is the result of subtracting a negative directed number from a positive directed number?
The result is greater than the positive directed number.
True or False: The product of two negative directed numbers is positive.
True
What is the product of a positive directed number and a negative directed number?
The product is a negative directed number.
Fill in the blank: When dividing two directed numbers with the same sign, the result is ______.
positive
What is the result of dividing a negative directed number by a positive directed number?
The result is a negative directed number.
What is the rule for multiplying directed numbers?
Multiply the absolute values and apply the sign rules: same signs yield positive, different signs yield negative.
If a directed number is multiplied by zero, what is the result?
The result is zero.
True or False: The division of a directed number by zero is defined.
False
What is the outcome of adding two directed numbers with the same sign?
The outcome is a directed number with that same sign.
Fill in the blank: To subtract a directed number, you add its ______.
opposite
What is the general rule for subtracting directed numbers?
Change the sign of the number being subtracted and then add.
What happens when you divide a negative directed number by another negative directed number?
The result is a positive directed number.
True or False: When adding a positive directed number and its negative counterpart, the result is zero.
True
What is the first step in multiplying directed numbers?
Multiply the absolute values of the numbers.
Fill in the blank: The sum of two directed numbers can be found by ______ their absolute values.
comparing
What is the effect of dividing a directed number by one?
The result is the directed number itself.
What is the result of adding two negative directed numbers?
The result is a more negative directed number.
If you subtract a positive directed number from a negative directed number, what is the result?
The result is a more negative directed number.
True or False: The absolute value of a directed number is always positive.
True
What is the result of the expression -5 + 3?
-2
