Solve the Multiplication Problem: 3 × 93

Multiplication with Distributive Property

3×93= 3\times93=

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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
00:06 Let's break down 93 into 90 plus 3
00:12 Let's open parentheses properly
00:15 Let's multiply the outer term by each term in parentheses
00:24 Let's solve each multiplication separately and then add
00:35 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3×93= 3\times93=

2

Step-by-step solution

In order to simplify our calculation, we first break down 93 into smaller, more manageable parts. (Preferably round numbers )

We obtain the following:

3×(90+3)= 3\times(90+3)=

We then use the distributive property in order to find the solution.

We multiply each of the terms in parentheses by 3:

(3×90)+(3×3)= (3\times90)+(3\times3)=

Lastly we solve each of the terms in parentheses and obtain:

270+9=279 270+9=279

3

Final Answer

279

Key Points to Remember

Essential concepts to master this topic
  • Distributive Property: Break down large numbers into manageable parts to multiply
  • Technique: Rewrite 93 as (90 + 3), then calculate 3 × 90 + 3 × 3
  • Check: Verify that 270 + 9 equals 279 by addition ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to multiply by both parts when using distributive property
    Don't just multiply 3 × 90 = 270 and stop there! This ignores the remaining 3 in (90 + 3) and gives the wrong answer. Always multiply the outside number by every term inside the parentheses: 3 × 90 AND 3 × 3.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(30-21)= \)

FAQ

Everything you need to know about this question

Why can't I just multiply 3 × 93 directly?

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You absolutely can! But breaking it down with the distributive property makes the calculation easier, especially with larger numbers. Both methods give the same answer: 279.

How do I know which numbers to break apart?

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Look for numbers close to multiples of 10 (like 90, 100, 200). For 93, we chose 90 + 3 because 90 is easy to multiply and 3 is what's left over.

What if I get different parts when I break down the number?

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That's fine! You could write 93 as 80 + 13 or 50 + 43. The distributive property works with any valid breakdown, though some make calculations easier than others.

Do I always have to show the distributive property steps?

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It depends on what your teacher asks for! Showing the steps demonstrates your understanding, but once you're comfortable, you can do simpler multiplications mentally.

How can I check if 279 is the right answer?

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Try the multiplication a different way! You could use long multiplication or break 93 down differently. You could also use division: 279÷3=93 279 ÷ 3 = 93

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