Solve Basic Multiplication: Calculate 35×20 Step by Step

Q: Why do I need to break down 35 into 30 + 5?

Breaking down numbers makes multiplication much easier! It's simpler to multiply by round numbers like 30 than by 35 directly. This method works especially well when one number ends in zero.

Q: Can I break down 20 instead of 35?

Yes! You could use $ 35 \times (10 + 10) = (35 \times 10) + (35 \times 10) = 350 + 350 = 700 $. Both methods work - choose whichever feels easier!

Q: What if I forget to add the two parts together?

That's a common mistake! Always remember the final step - adding your partial products. Write it clearly: 600 + 100 = 700 so you don't forget.

Q: Is there a quicker way to do this problem?

You could recognize that $ 35 \times 20 = 35 \times 2 \times 10 = 70 \times 10 = 700 $. But the distributive property method helps you understand what's happening in the multiplication.

Q: How do I know which number to break down?

Look for the number that's closest to a round number. Since 35 is close to 30 (a multiple of 10), it's easier to break down than 20, which is already a round number.

Distributive Property with Two-Digit Numbers

$35\times20=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's use the distributive law

00:07 Let's break down 35 into 30 plus 5

00:11 Let's multiply each factor separately, then add

00:22 Let's solve each multiplication and then sum

00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$35\times20=$

Step-by-step solution

In order to simplify the resolution process, we begin by breaking down 30 into a smaller addition exercise:

$(30+5)\times20=$

We then multiply each of the terms inside of the parentheses by 20:

$(30\times20)+(5\times20)=$

Lastly we solve the exercises inside of the parentheses as follows:

$600+100=700$

Final Answer

700

Key Points to Remember

Essential concepts to master this topic

Rule: Break down numbers to make multiplication easier
Technique: $35 = 30 + 5$ , then multiply each part by 20
Check: Verify $600 + 100 = 700$ matches your answer ✓

Common Mistakes

Avoid these frequent errors

Multiplying only one part of the broken-down number
Don't multiply just 30 × 20 and forget the 5 × 20 = incomplete calculation! This gives 600 instead of 700. Always multiply both parts of the breakdown and add the results together.

Practice Quiz

Test your knowledge with interactive questions

$12:(2\times2)=$

FAQ

Everything you need to know about this question

Why do I need to break down 35 into 30 + 5?

Breaking down numbers makes multiplication much easier! It's simpler to multiply by round numbers like 30 than by 35 directly. This method works especially well when one number ends in zero.

Can I break down 20 instead of 35?

Yes! You could use $35 \times (10 + 10) = (35 \times 10) + (35 \times 10) = 350 + 350 = 700$ . Both methods work - choose whichever feels easier!

What if I forget to add the two parts together?

That's a common mistake! Always remember the final step - adding your partial products. Write it clearly: 600 + 100 = 700 so you don't forget.

Is there a quicker way to do this problem?

You could recognize that $35 \times 20 = 35 \times 2 \times 10 = 70 \times 10 = 700$ . But the distributive property method helps you understand what's happening in the multiplication.

How do I know which number to break down?

Look for the number that's closest to a round number. Since 35 is close to 30 (a multiple of 10), it's easier to break down than 20, which is already a round number.

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