Operations with Integers and Expressions

The video tutorial explains how to evaluate and simplify mathematical expressions by following the order of operations. It covers multiplication, subtraction, and addition of integers, including handling expressions with the same and different signs. The tutorial provides examples to illustrate these concepts, emphasizing the importance of calculating products before performing addition or subtraction.

What is the first step in evaluating an expression with multiple operations?

• Rewrite subtraction as addition

• Add and subtract from left to right

• Multiply and divide from left to right

• Evaluate inside parentheses first

How can subtraction be rewritten to simplify calculations?

• As multiplication of a negative number

• As division of a positive number

• As addition of a positive number

• As addition of a negative number

When adding integers with the same sign, what should you do?

• Add their absolute values and keep the sign

• Multiply their absolute values

• Subtract their absolute values

• Divide their absolute values

What is the result of adding negative 54 and negative 28?

• Positive 26

• Positive 82

• Negative 26

• Negative 82

What is the first step when simplifying an expression with parentheses?

• Divide the terms inside the parentheses

• Rewrite the expression without parentheses

• Add and subtract inside the parentheses

• Multiply the terms inside the parentheses

In the expression 6 times negative 5 plus 8, why is the sum positive?

• Because 6 is positive

• Because multiplication comes first

• Because 8 outweighs negative 5

• Because negative 5 is smaller

What should you do after simplifying inside the parentheses?

• Rewrite the expression

• Multiply and divide

• Add and subtract

• Evaluate exponents

How do you handle multiplication and division in expressions?

• Ignore them if there are parentheses

• Rewrite them as addition

• Perform them before addition and subtraction

• Perform them after addition and subtraction

When integers have different signs, how do you find the sum?

• Add their absolute values

• Divide their absolute values

• Subtract the smaller absolute value from the larger

• Multiply their absolute values

In the final example, why is the sum negative?

• Because the positive number is larger

• Because the negative number outweighs the positive

• Because both numbers are negative

• Because the operation is subtraction