Solve the Triple Multiplication: 35 × 3 × 24

Triple Multiplication with Multi-digit Numbers

35×3×24= 35\times3\times24=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 We'll use long multiplication to find the answer. Ready?
00:19 Here's the multiplication we need to solve.
00:31 Once again, using long multiplication, let's find the solution.
00:58 And there you have it! That's the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

35×3×24= 35\times3\times24=

2

Step-by-step solution

According to the order of operations rules, since the exercise only has multiplication, we will solve the exercise from left to right.

We will solve the left exercise in vertical multiplication format to make the solving process easier for ourselves.

It's important to maintain the correct order of solving, meaning first multiply the ones digit of the first number by the ones digit of the second number,
then multiply the tens digit of the first number by the ones digit of the second number, and so on.

35×3=105 35\\\times3\\=105

Now we will get the exercise:

105×24= 105\times24=

We will solve this exercise vertically as well, following the same rules as we did in the previous exercise.

105×24=2,520 105\\\times24\\=2,520

3

Final Answer

2520 2520

Key Points to Remember

Essential concepts to master this topic
  • Order: Multiply from left to right when only multiplication operations
  • Technique: Calculate 35×3=105 35 \times 3 = 105 , then 105×24 105 \times 24
  • Check: Verify by calculating backwards: 2520÷24÷3=35 2520 \div 24 \div 3 = 35

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying all three numbers
    Don't calculate 35 + 3 + 24 = 62! This gives a completely wrong result because you're using the wrong operation. Always multiply each number in sequence: first 35 × 3, then multiply that result by 24.

Practice Quiz

Test your knowledge with interactive questions

\( 13+5+5= \) ?

FAQ

Everything you need to know about this question

Do I have to solve from left to right?

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Yes! When you have only multiplication, follow the left-to-right rule. This keeps your calculations organized and prevents errors with larger numbers.

Can I multiply the numbers in a different order?

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Actually, yes! Because of the commutative property, you could calculate 3×24=72 3 \times 24 = 72 first, then 35×72=2520 35 \times 72 = 2520 . You'll get the same answer!

What if I make an error in the first multiplication?

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If you get the first step wrong, your final answer will be completely incorrect! Always double-check each multiplication step before moving to the next one.

How do I multiply large numbers like 105 × 24?

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Use vertical multiplication! Write 105 on top, 24 below, then multiply 105 by 4, then by 20, and add the results: 420 + 2100 = 2520.

Why is my calculator showing a different answer?

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Make sure you're entering the multiplication correctly! Check that you typed 35 × 3 × 24 and not 35 + 3 × 24, which would give 107 due to order of operations.

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