Grade 5 Module 2 Lesson 5

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 a sum.

Front

How do you use the area model to multiply two numbers?

Back

The area model involves breaking down each number into its place values, creating a rectangle for each pair of values, and then adding the areas of these rectangles to find the product.

Front

What is the standard algorithm for multiplication?

Back

The standard algorithm involves multiplying numbers digit by digit, starting from the rightmost digit, carrying over any values as needed, and then adding the results.

Front

Calculate 314 x 22 using the distributive property.

Back

314 x 22 = (314 x 20) + (314 x 2) = 6280 + 628 = 6908.

Front

What is the product of 413 x 22?

Back

The product of 413 x 22 is 9086.

Front

If Zenin earns $142 per shift and works 12 shifts, how can you express his total pay?

Back

Total pay = 142 x 12, which can also be expressed as (142 x 10) + (142 x 2).

Front

How do you calculate Jack's savings if he saves $141 more than Betty, who saves $161 per month?

Back

Jack's savings = (161 + 141) x 24, where 24 is the number of months in 2 years.

Front

What is the importance of breaking down numbers in multiplication?

Back

Breaking down numbers helps simplify calculations, making it easier to manage larger numbers and reducing the chance of errors.

Front

What is an area model multiplication example for 242 x 21?

Back

An area model for 242 x 21 would involve breaking 242 into 200 + 40 + 2 and 21 into 20 + 1, then calculating the areas of the resulting rectangles.

Front

What does it mean to solve a multiplication problem without a calculator?

Back

It means using mental math strategies, such as the distributive property, area model, or standard algorithm, to find the product.