Mastering the Order of Operations

The video tutorial covers the order of operations in mathematics, starting with an introduction to the rules: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right. It includes several example problems, demonstrating how to apply these rules to solve expressions, including those with nested parentheses and mixed operations. The tutorial emphasizes the importance of following the correct order to achieve accurate results.

What is the first step in the order of operations?

• Multiply and divide from left to right

• Add and subtract from left to right

• Evaluate exponents

• Check for parentheses or brackets

In the expression 3 + 2 inside parentheses, what should be done first?

• Add 3 and 2

• Multiply 3 and 2

• Subtract 2 from 3

• Divide 3 by 2

What is the result of multiplying -5 by 5?

• -25

• 10

• 25

• 0

When solving nested parentheses, which part should be solved first?

• The exponents

• The innermost parentheses

• The multiplication

• The outermost parentheses

What is the result of 5 times 14 plus 3 squared?

• 92

• 79

• 83

• 70

What is the result of 10 subtract 12 divided by 2?

• -1

• 2

• -2

• 1

What is 49 divided by 7?

• 7

• 6

• 9

• 8

What is the result of 35 subtract 3 divided by -11?

• -3

• 3

• -32

• 32

How do you convert the improper fraction 32/-11 to a mixed number?

• -3 and 1/11

• 2 and 10/11

• 3 and 1/11

• -2 and 10/11

What is the final result of -3 times 7 plus 3?

• 21

• -21

• 18

• -18