Solve the Multiplication Problem: Calculate 35×4

Multiplication Using the Distributive Property

35×4= 35\times4=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem together!
00:06 First, we'll use the distributive law.
00:10 We break down thirty-five into thirty plus five.
00:15 Next, we'll multiply each part separately. And then, add them up.
00:27 Now, solve each multiplication and sum the results.
00:36 Great job! That's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

35×4= 35\times4=

2

Step-by-step solution

In order to simplify the resolution process, we divide the number 35 into a smaller addition exercise.

It is easier to choose round whole numbers, hence the following calculation:

(30+5)×4= (30+5)\times4=

We then multiply each of the terms inside of the parentheses by 4:

(4×30)+(4×5)= (4\times30)+(4\times5)= Lastly we solve the exercises inside of the parentheses:

120+20=140 120+20=140

3

Final Answer

140

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break larger numbers into tens and ones for easier calculation
  • Technique: Rewrite 35 as (30 + 5) then multiply: 4×30 + 4×5
  • Check: Verify 120 + 20 = 140 matches your final answer ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying the distributed terms
    Don't calculate 4×30 + 4×5 as 4×30 + 5 = 125! This skips multiplying the second term and gives the wrong result. Always multiply each term separately, then add the products together.

Practice Quiz

Test your knowledge with interactive questions

\( 12:(2\times2)= \)

FAQ

Everything you need to know about this question

Why break 35 into 30 + 5 instead of just multiplying directly?

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Breaking numbers into tens and ones makes mental math much easier! It's simpler to multiply 4×30 and 4×5 than to tackle 4×35 all at once, especially when working without a calculator.

Can I break the number differently, like 20 + 15?

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Yes! You can use any combination that adds to 35. However, multiples of 10 like 30 + 5 are usually easiest because multiplying by 10s gives round numbers.

What if I get different numbers when I split it up?

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Double-check that your split adds correctly! For example, 30 + 5 = 35 ✓. Then verify: (4×30)+(4×5)=120+20=140 (4 \times 30) + (4 \times 5) = 120 + 20 = 140

Is this method faster than regular multiplication?

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For mental math, absolutely! Once you practice the distributive property, it becomes much faster than trying to multiply large numbers in your head. It's also great preparation for algebra!

Do I always have to show the parentheses?

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When learning, yes - write out (30+5)×4 (30 + 5) \times 4 to show your thinking clearly. This helps avoid mistakes and shows your teacher you understand the concept.

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