Solve the Multiplication Problem: Calculate 4 × 53

Q: Why break down 53 instead of just multiplying directly?

Breaking down makes calculation easier and less error-prone! Multiplying 4 × 50 = 200 is simpler than 4 × 53, and you're less likely to make mental math mistakes.

Q: Can this method work with larger numbers?

Yes! For example, $ 6 \times 247 = 6 \times (200 + 40 + 7) = 1200 + 240 + 42 = 1482 $. This method becomes even more helpful with bigger numbers!

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 53 into 50 plus 3

00:17 Let's multiply each factor separately and sum

00:31 Let's solve each multiplication and then sum

00:45 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

$4\times53=$

2

Step-by-step solution

To make solving easier, we break down 53 into more comfortable numbers, preferably round ones.

We obtain:

$4\times(50+3)=$

We multiply 2 by each of the terms inside the parentheses:

$(4\times50)+(4\times3)=$

We solve the exercises inside the parentheses and obtain:

$200+12=212$

3

Final Answer

212

Key Points to Remember

Essential concepts to master this topic

Distributive Property: Break down numbers into easier parts to multiply
Technique: 53 = 50 + 3, so 4 × 53 = (4 × 50) + (4 × 3)
Check: Verify 200 + 12 = 212 matches direct multiplication ✓

Common Mistakes

Avoid these frequent errors

Adding the broken-down parts instead of multiplying each
Don't calculate 4 + 50 + 4 + 3 = 61! This treats addition and multiplication the same way, giving completely wrong results. Always multiply 4 by each part: (4 × 50) + (4 × 3) = 200 + 12 = 212.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(30-21)= $$

FAQ

Everything you need to know about this question

Why break down 53 instead of just multiplying directly?

+

Breaking down makes calculation easier and less error-prone! Multiplying 4 × 50 = 200 is simpler than 4 × 53, and you're less likely to make mental math mistakes.

Can I break down numbers in different ways?

+

Absolutely! You could use 53 = 60 - 7, giving 4 × (60 - 7) = (4 × 60) - (4 × 7) = 240 - 28 = 212. Choose whatever breakdown feels easiest for you!

Do I always have to use parentheses?

+

The parentheses help show your thinking clearly, especially when learning. They ensure you multiply each part separately before adding the results together.

What if I get different answers using different methods?

+

If you get different answers, double-check your arithmetic! The distributive property should give the same result as direct multiplication. Try calculating $4 \times 53$ directly to verify.

Can this method work with larger numbers?

+

Yes! For example, $6 \times 247 = 6 \times (200 + 40 + 7) = 1200 + 240 + 42 = 1482$ . This method becomes even more helpful with bigger numbers!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Solve the Multiplication Problem: Calculate 4 × 53

Multiplication using the Distributive Property

❤️ Continue Your Math Journey!