Solve 74×13: Identifying the Correct Multiplication Breakdown

Q: Why can't I just write 80×13-6?

Because you're only multiplying one part of the breakdown! When you have $ (80-6)\times13 $, you must distribute the 13 to both the 80 and the 6.

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

Look for numbers close to multiples of 10! Since 74 is close to 80, write it as $ 80-6 $ to make multiplication easier.

Q: Can I break down 13 instead of 74?

Yes! You could write $ 74\times(10+3) = 74\times10 + 74\times3 $. Choose whichever breakdown feels easier to calculate.

Q: What if I get different answers with different breakdowns?

If you apply the distributive property correctly, you'll always get the same answer! Different methods are just different paths to the same destination.

Distributive Property with Two-Digit Multiplication

$74\times13=$

Which of the expressions represents a correct breakdown of the exercise above?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the expression that represents the correct factorization of the exercise

00:03 Let's use the distributive law

00:07 Let's break down 74 into 80 minus 6

00:10 Let's multiply each factor and then subtract

00:17 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

$74\times13=$

Which of the expressions represents a correct breakdown of the exercise above?

Step-by-step solution

First, we break down 74 into a subtraction exercise as follows:

$(80-6)\times13=$

Next we multiply each of the terms inside the parentheses by 13 and obtain the following:

$80\times13-6\times13$

Final Answer

$80\times13-6\times13$

Key Points to Remember

Essential concepts to master this topic

Rule: Apply distributive property to break down larger numbers
Technique: Rewrite 74 as (80-6), then distribute: 80×13-6×13
Check: Calculate each part: 1040 - 78 = 962 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to apply the operation to both terms
Don't write 80×13-6 when breaking down (80-6)×13 = wrong answer of 1034! This ignores the distributive property completely. Always multiply BOTH terms inside parentheses by the outside factor.

Practice Quiz

Test your knowledge with interactive questions

$$ 140-70= $$

FAQ

Everything you need to know about this question

Why can't I just write 80×13-6?

Because you're only multiplying one part of the breakdown! When you have $(80-6)\times13$ , you must distribute the 13 to both the 80 and the 6.

How do I know which number to break down?

Look for numbers close to multiples of 10! Since 74 is close to 80, write it as $80-6$ to make multiplication easier.

Can I break down 13 instead of 74?

Yes! You could write $74\times(10+3) = 74\times10 + 74\times3$ . Choose whichever breakdown feels easier to calculate.

What if I get different answers with different breakdowns?

If you apply the distributive property correctly, you'll always get the same answer! Different methods are just different paths to the same destination.

Do I have to use parentheses when writing the breakdown?

The parentheses help show the breakdown clearly, but the final expression $80\times13-6\times13$ follows order of operations correctly without them.

🌟 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