Simplifying Expressions and Distributive Property

The video tutorial explains how to simplify mathematical expressions by using the distributive property. It covers two examples: distributing 10 in the first expression and 100 in the second. The tutorial also explains shortcuts for multiplying by 10 and 100, emphasizing moving the decimal point. The process involves clearing parentheses and simplifying expressions by identifying common factors. The video concludes with a summary and encouragement for learners.

What is the first step in simplifying expressions using the distributive property?

• Subtract the terms inside the parentheses

• Add the terms inside the parentheses

• Multiply each term inside the parentheses by the factor outside

• Divide each term inside the parentheses by the factor outside

When distributing 10 in the expression 10(0.3x - 0.8), what is the result of 10 times 0.3x?

• 0.3x

• 3x

• 30x

• 0.03x

What is the simplified form of the expression 10(0.3x - 0.8)?

• 3x - 0.8

• 30x - 8

• 3x + 8

• 3x - 8

What is the shortcut for multiplying a number by 10?

• Move the decimal point one place to the right

• Move the decimal point one place to the left

• Move the decimal point two places to the right

• Move the decimal point two places to the left

How can 0.3x be expressed as a fraction?

• 30/10 x

• 3/10 x

• 30/100 x

• 3/100 x

What is the common factor between the numerator and denominator when simplifying 10/10?

• 5

• 1

• 0

• 10

What is the result of simplifying 1 times 3x?

• x

• 1x

• 3x

• 0x

What is the shortcut for multiplying a number by 100?

• Move the decimal point two places to the left

• Move the decimal point one place to the left

• Move the decimal point two places to the right

• Move the decimal point one place to the right

What is the result of 100 times 0.24x?

• 240x

• 2.4x

• 0.24x

• 24x

What is the simplified form of the expression 100(0.24x + 3.08)?

• 24x + 30.8

• 2.4x + 30.8

• 24x + 308

• 240x + 3080