4.8 Distributing

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you apply the distributive property to the expression 2(3x + 6)?

Back

You multiply 2 by each term inside the parentheses: 2 * 3x + 2 * 6 = 6x + 12.

Front

What is the result of distributing 2.9 to the expression (-9.74 - 3.7x)?

Back

The result is -28.246 - 10.73x.

Front

How do you simplify the expression 0.5(6x + 8) using the distributive property?

Back

You multiply 0.5 by each term: 0.5 * 6x + 0.5 * 8 = 3x + 4.

Front

What is the outcome of distributing 6 to the expression (8.8x + 2.3)?

Back

The outcome is 52.8x + 13.8.

Front

What does it mean to simplify an expression using the distributive property?

Back

It means to expand the expression by multiplying the outside term by each term inside the parentheses and combining like terms.

Front

Can you give an example of a real-world application of the distributive property?

Back

Yes, if you are calculating the total cost of multiple items where each item has a base price and additional fees, you can use the distributive property to simplify the calculation.

Front

What is the first step in applying the distributive property?

Back

Identify the term outside the parentheses and the terms inside the parentheses that need to be multiplied.

Front

How do you handle negative numbers when using the distributive property?

Back

You apply the same multiplication rules, ensuring to multiply the negative number by each term inside the parentheses.

Front

What is the result of applying the distributive property to 6(7x + 8)?

Back

The result is 42x + 48.