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Positives and Negatives
Subgroup Vocabulary
Parentheses/Properties
Properties Cont.
100
A positive number can be illustrated with an addition sign before it, but it can have nothing before it. A negative number is displayed with a subtraction sign before it.
What is the appropriate notation to indicate positive and negative numbers?
100
A number that can be expressed as a quotient of two integers where the divisor is not zero, such as 1/2.
What is a rational number?
100
To be done first. Example: (10 x 2) + 4 20 + 4 24
What is the meaning of parenthesis as grouping symbols?
100
a(b+c)
What is a model showing the Distributive Property?
200
If a number is added to its opposite, the sum will be 0.
What is the relationship between a number and its opposite?
200
Any real number that cannot be expressed as a ratio of integers.
What is an irrational number?
200
When parenthesis are next to each other without any symbols between them, you multiply. Example: (5)8 This means 5 x 8, which equals 40.
What is the meaning of parenthesis in multiplication?
300
Number represented as a. Opposite represented as b. a+b=0
What is one model that represents the relationship between a number and its opposite?
300
A whole number and its opposite, like 5 and -5.
What is an integer?
300
If you see parenthesis in a problem, you need to do what's inside them first. Example: (8 + 3) - 6 You must do 8 + 3 first. 8+3=11. 11-6=5
What is the meaning of parenthesis in the Order of Operations?
400
For multiplication/division: If both numbers are positive or negative, the product or quotient will be positive. If one number is not positive and the other is, the product or quotient will be negative. For addition/subtraction: If both numbers are positive or negative, the sum or difference will be on the same side of zero as the numbers. If the numbers are different from one another, and the negative number is farther from 0 than the positive, the number will be negative. If the numbers are different from one another, and the negative number is closer to 0 than the positive, the number will be positive.
What are the algorithms for adding, subtracting, multiplying and dividing integers?
400
Any number after 0 and without decimals or fractions. 8, 9 and 4 are whole numbers.
What is a whole number?
400
The commutative property states that a x b - b x a, and a + b = b + a.
What is the commutative property of multiplication and addition?
500
Parenthesis Exponents Multiplication/Division Addition/Subtraction Example: (5 x 7) + (2.7) x 6 (35) + (2.7) x 6 37.7 x 6 226.2
What is the Order of Operations?
500
The positive integers. 1, 2, 3, etc.
What is a natural number?
500
It is used to multiply a single term and two or more terms inside a set of parentheses.
What is the Distributive Property?