What is the correct way to solve problems with many different operations called?
Order of Operations
What acronym do we use to remember Order of Operations?
GEMDAS
What is the first step in solving
6 * (3 - 4 divide 2)^2
Division
4 divided by 2 = 8
two less than a number f
A) 2 - f B) f - 2 C) -f -2
B) f - 2
What is a variable?
A letter or symbol used to represent an unknown number
What are different grouping symbols we look for with order of operations? (Give three)
(Parenthesis) {Braces} [Brackets] abs("absolute value") "Fraction"/"Bar"
What is the second step in solving the problem below.
3 + 12 divide 6 * 3
Multiplication.
Division is the first step, 12 divide 6 = 2
2 *3 = 6 is the 2nd step
The sum of 10 and a number g
10 + g
What is an expression?
A math phrase (or sentence) that uses numbers, variables, and operation symbols.
What does 53 mean?
5 * 5 * 5
What is the third step in solving
(7 + 3*5)^2
The exponent.
Multiplication first, addition second, exponent third
3 more then 4 times z
A) 3 + 4 + z B) 4*3 + z C)4z + 3
4z + 3
What is the difference between an numerical expression and an algebraic expression?
Algebraic expressions must have 1 or more variables.
Numerical doesn't contain any variables.
Why does multiplication and division end on the same step of the GEMDAS ladder?
We look for them at the same time.
Its not always multiplication followed by addition.
What is the third step in solving
(8 * 2 )/(14 +2)
Division.
Does the 2 less then the number j , and 2 decreased by the number j translate to the same expression?
No
j - 2
2 - j
What is the third term in the algebraic expression?
6j + 5k - 8 + 3m
- 8
The negative sign gets included with the term
Addition always comes before subtraction.
True or False
False.
They are on the same step, we look for them at the same time and solve them left to right.
What is the fist step in solving
3 + ( 4*5 divide 2^3 + Abs(-13))
Absolute Value
Three times the sum of 4 and 5
(Simplify as much as possible.)
3(4+5)= 3(9) = 27