Calculate the Sum: Solving 94 + 72 Step by Step

Q: Why break down the numbers instead of just adding directly?

Breaking down numbers makes addition much easier by working with round numbers first! Adding 90 + 70 is simpler than adding 94 + 72 directly.

Q: What if I forget to regroup the numbers correctly?

Always remember: tens with tens, ones with ones! Write it as $ (90 + 70) + (4 + 2) $ to keep place values organized.

Q: Can I use this method for bigger numbers?

Absolutely! This works for any size numbers. For 347 + 285, break it down: $ (300 + 200) + (40 + 80) + (7 + 5) $.

Q: Is there a faster way to add these numbers?

You can add directly using column addition, but decomposition helps you understand what's happening and avoid careless mistakes!

Q: What if I get confused with the associative property?

The associative property just means you can group numbers differently without changing the answer. $ (90 + 4) + (70 + 2) $ equals $ (90 + 70) + (4 + 2) $!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's use the distribution law

00:07 Let's break down 94 into 90 plus 4

00:12 Let's break down 72 into 70 plus 2

00:19 Let's use the commutative law and arrange the exercise in a convenient way to solve

00:35 Let's solve one addition operation at a time

00:43 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

$94+72=$

2

Step-by-step solution

In order to simplify the calculation , we first break down 94 and 72 into smaller and preferably round numbers.

We obtain the following exercise:

$90+4+70+2=$

Using the associative property, we then rearrange the exercise to be more functional.

$90+70+4+2=$

We solve the exercise in the following way, first the round numbers and then the small numbers.

$90+70=160$

$4+2=6$

Which results in the following exercise:

$160+6=166$

3

Final Answer

166

Key Points to Remember

Essential concepts to master this topic

Rule: Break numbers into tens and ones before adding
Technique: Group like places: 90 + 70 = 160, then 4 + 2 = 6
Check: Add original numbers directly: 94 + 72 = 166 ✓

Common Mistakes

Avoid these frequent errors

Adding digits in wrong order
Don't add 9 + 7 + 4 + 2 = 22! This ignores place value completely and gives totally wrong answers. Always keep tens with tens and ones with ones when decomposing numbers.

Practice Quiz

Test your knowledge with interactive questions

$$ 140-70= $$

FAQ

Everything you need to know about this question

Why break down the numbers instead of just adding directly?

+

Breaking down numbers makes addition much easier by working with round numbers first! Adding 90 + 70 is simpler than adding 94 + 72 directly.

What if I forget to regroup the numbers correctly?

+

Always remember: tens with tens, ones with ones! Write it as $(90 + 70) + (4 + 2)$ to keep place values organized.

Can I use this method for bigger numbers?

+

Absolutely! This works for any size numbers. For 347 + 285, break it down: $(300 + 200) + (40 + 80) + (7 + 5)$ .

Is there a faster way to add these numbers?

+

You can add directly using column addition, but decomposition helps you understand what's happening and avoid careless mistakes!

What if I get confused with the associative property?

+

The associative property just means you can group numbers differently without changing the answer. $(90 + 4) + (70 + 2)$ equals $(90 + 70) + (4 + 2)$ !

🌟 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

Calculate the Sum: Solving 94 + 72 Step by Step

Addition with Place Value Decomposition

❤️ Continue Your Math Journey!