exponents Flashcards
What does the acronym PEMDAS stand for?
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
True or False: In the order of operations, exponents are calculated before multiplication.
True
Fill in the blank: The order of operations can be remembered using the acronym _____
PEMDAS
What is the first step in solving the expression 3 + 2 × (5^2 - 4)?
Calculate the exponent: 5^2
Evaluate: 2^3 + 4 × 2.
14
In the expression 10 - 2^2 + 3, what operation should be performed first?
Calculate the exponent: 2^2
What comes after parentheses in the order of operations?
Exponents
Evaluate: (3 + 5) × 2^2.
32
What is the value of 4^3?
64
If you have the expression 6 + 2 × 3^2, what is the correct order of operations?
Calculate the exponent first, then multiplication, then addition.
Evaluate: 5 + 3 × (2^2 - 1).
11
Which operation has the highest priority in the order of operations?
Parentheses
What is the result of 2^4 - 6 ÷ 3?
10
Evaluate: (2 + 3)^2 - 5.
20
True or False: In the expression 8 ÷ 2(2 + 2), you should calculate the parentheses first.
True
What is the simplified form of 3 × 2^3?
24
Evaluate: 7 - 3 + 2^3.
10
What comes after exponents in the order of operations?
Multiplication and Division (from left to right)
Evaluate: 2 × (3 + 4)^2 ÷ 2.
49
What is the value of 5^0?
1
Fill in the blank: When dealing with exponents, a negative exponent indicates _____ the base.
Taking the reciprocal of
Evaluate: 2^3 × 2^2.
32
What is the result of (3^2 + 4^2)?
25
True or False: The operations of addition and subtraction are performed in the order they appear from left to right.
True
Evaluate: 10 - (4^2 ÷ 2) + 3.
7
What is the result of 9 - 3(2^2)?
0
Fill in the blank: The expression 6 ÷ 2(1 + 2) can lead to _____ if not calculated carefully.
Confusion
Evaluate: 4 × (5 - 3^2) + 6.
-2
