Chapter 3.1 - 3.5 Flashcards
Definition of Absolute Value
Absolute Value of a number is its distance from 0 on the number line.
Definition of Integers
Integers are counting numbers, their opposites, and zero…-3,-2,-1,0,1,2,3…
Definition of Negative Number
A negative number is less than zero.
Definition of Opposites
Opposite of a number is the number that is the same distance from zero on the number line, but on the opposite side of zero.
What notation shows opposite of the variable “a”?
“-a” means the opposite of the number a.
What notation shows absolute value of variable “n”?
Absolute Value of a number n is written as “|n|”. |n| is greater than, or equal to zero for all numbers.
State the Subtraction Property of numbers
When b is positive, a - b = a + (- b). When b is negative a - ( -b) = a + b.
List the steps to solve Application Problems
Step 1. Identify what you are asked to find. Step 2. Write a phrase that gives the information to find it. Step 3. Transalte the phrase to an expression. Step 4. Simplify the expression. Step 5. Answer the question with a complete sentence.
Determine the sign of the product of two signed positive numbers
Product is positive number.
Determine the sign of the product of two signed negative numbers
Product is positive number.
Determine the sign of the product of one signed positive number and one signed negative number.
Product is negative number.
Determine the sign of the quotient of two signed positive numbers
Quotient is positive number.
Determine the sign of the quotient of two signed negative numbers
Quotient is positive number.
Determine the sign of the quotient of one positive signed number and one negative number.
Quotient is negative number.
State the Multiplication by -1
Multiplying a number by -1 gives its opposite: -1a = -a.
