Order of Operations with Integers

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 and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you simplify the expression (-5) - (-3) x (-4)?

Back

First, apply the Order of Operations: Multiply -3 and -4 to get 12. Then, simplify: (-5) - 12 = -17.

Front

What is the result of 4 + [5² + (-4 - 1)] ÷ 10?

Back

First, calculate inside the brackets: -4 - 1 = -5, then 5² = 25. So, 4 + [25 - 5] ÷ 10 = 4 + 20 ÷ 10 = 4 + 2 = 6.

Front

What is the value of (-2) ⋅ (3 + 8 ÷ 4)²?

Back

First, calculate inside the parentheses: 8 ÷ 4 = 2, then 3 + 2 = 5. Now square it: 5² = 25. Finally, multiply: -2 ⋅ 25 = -50.

Front

What is the result of 10 x (-5) + (-6)²?

Back

First, calculate (-6)² = 36. Then, 10 x (-5) = -50. Finally, -50 + 36 = -14.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, ensuring clarity and accuracy in calculations.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, 5² means 5 multiplied by itself, which equals 25.

Front

How do you handle negative numbers in multiplication?

Back

When multiplying two negative numbers, the result is positive. When multiplying a positive number by a negative number, the result is negative.

Front

What is the result of 5 + 3 x 2?

Back

According to the Order of Operations, multiply first: 3 x 2 = 6. Then add: 5 + 6 = 11.