Order of Operations with Rational Numbers

Front

What is the Order of Operations?

Back

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

Front

What does the acronym 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 handle negative numbers in calculations?

Back

When handling negative numbers, remember that multiplying or dividing two negative numbers results in a positive number, while adding or subtracting a negative number is equivalent to subtracting or adding a positive number.

Front

What is the result of multiplying a positive number by a negative number?

Back

The result of multiplying a positive number by a negative number is a negative number.

Front

What is the result of adding two negative numbers?

Back

The result of adding two negative numbers is a negative number.

Front

How do you simplify the expression 4 ÷ -2 + -4?

Back

To simplify 4 ÷ -2 + -4, first divide: 4 ÷ -2 = -2. Then add: -2 + -4 = -6.

Front

What is the value of 21 ÷ 7 + 4 (2)?

Back

First, calculate 21 ÷ 7 = 3. Then calculate 4 (2) = 8. Finally, add: 3 + 8 = 11.

Front

What is the result of the expression 2.1 + 2.1 + (-2.1)?

Back

The result is 2.1, as 2.1 + 2.1 = 4.2 and 4.2 + (-2.1) = 2.1.

Front

How do you solve the expression -10 + (-5)(-5)?

Back

First, calculate (-5)(-5) = 25. Then add: -10 + 25 = 15.

Front

What is the importance of parentheses in the Order of Operations?

Back

Parentheses indicate which operations should be performed first in an expression, allowing for the correct order of calculations.