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Lesson 1: Comparing with multiplication

# Multiply by 1-digit numbers: FAQ

## How can we use the distributive property to multiply larger numbers?

The distributive property is a rule in math that lets us break apart a multiplication problem into smaller parts to make it easier to multiply.
For example, if we want to multiply $123×6$, we can break $123$ down into $100+20+3$, and then use the distributive property to multiply each part by $6$:
$\begin{array}{rl}123×6& =\left(100+20+3\right)×6\\ \\ & =\left(100×6\right)+\left(20×6\right)+\left(3×6\right)\\ \\ & =\left(600\right)+\left(120\right)+\left(18\right)\\ \\ & =738\end{array}$
Try it yourself with these exercises:

## How can we use area models to multiply larger numbers?

Similar to the distributive property, we can use area models to make multiplication easier. An area model is a way of visualizing a multiplication problem by drawing a rectangle and dividing it into sections. It can help us understand how different parts of the problem work together.
The following area model shows $3,538×5$ broken into parts.
The image is not drawn to scale.
Try it yourself with these exercises:

## Why do we need to learn how to estimate products?

Estimating products can help us check our work and get a rough idea of what the answer might be before we start multiplying.
Practice estimating products with this exercise:

## Why is it important to learn different ways to multiply 1-digit by 2-, 3-, and 4- digit numbers?

Different methods may work better for different people, so learning multiple methods can help you find the one that works best for you. Understanding more than one way to solve a problem can deepen one's understanding of the mathematical concepts involved, as opposed to just memorizing one procedure.

## Want to join the conversation?

• So, if we had 124x3, what would happen?
• We could break up 124 into 100+20+4.

Then 124x3 = 300+60+12 = 372.

Have a blessed, wonderful day!
• What Is Distributive Propertey?
• In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality
is always true in elementary algebra.
• how do we do 1,000,000,000,000,000,000,000,000, times 1,000,000,000,000
• 243187 Why did you ask the same question 3 times?
• could you maybe show a dif way
• im so confused on a question🤔
• well that is what we are here for!🩵 tell us what you are confused on so we can get your question solved!
• So we have to watch the videos right?
(1 vote)
• Yes We do need to. If you watch them you can learn more.