Order of Operations, Reducing Fractions, Add/Subtract Flashcard

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Front

What is the first step in solving the expression: -12 ÷ 6 + -3 × 7?

Back

The first step is to perform the division: -12 ÷ 6 = -2.

Front

What is the second step in solving the expression: -12 ÷ 6 + -3 × 7?

Back

The second step is to perform the multiplication: -3 × 7 = -21.

Front

What is the result of the expression: -12 ÷ 6 + -3 × 7?

Back

The result is -2 + -21 = -23.

Front

What is a common error when solving expressions?

Back

A common error is performing addition before subtraction or multiplication before division, which can lead to incorrect results.

Front

How do you simplify the expression: -8 + (15 - 3) ÷ 4?

Back

First, simplify inside the parentheses: 15 - 3 = 12. Then, divide: 12 ÷ 4 = 3. Finally, add: -8 + 3 = -5.

Front

What is the result of the expression: -10 - 12?

Back

The result is -22.

Front

What is the importance of reducing fractions?

Back

Reducing fractions simplifies them to their lowest terms, making them easier to understand and work with.

Front

How do you reduce the fraction 8/12?

Back

Divide both the numerator and the denominator by their greatest common divisor, which is 4. So, 8/12 reduces to 2/3.