Solve the Addition Problem: Finding the Sum of 5+14+5

Q: Why should I rearrange the numbers instead of just adding left to right?

Rearranging helps you find easier combinations like 5+5=10. This reduces mental workload and helps prevent calculation errors, especially with larger problems.

Q: What is the commutative property exactly?

The commutative property means you can change the order of numbers when adding and get the same answer. So $ 5+14+5 $ equals $ 5+5+14 $!

Q: How do I know which numbers to group together?

Look for numbers that make multiples of 10 or other friendly numbers. In this problem, 5+5=10 is much easier to work with than 5+14=19.

Q: Does this strategy work with bigger addition problems?

Absolutely! The more numbers you have, the more helpful this becomes. Always scan for pairs that make 10, 20, 100, etc. before starting your calculations.

Q: What if I can't find any easy combinations?

That's okay! If no obvious pairs exist, just add left to right carefully. But always take a moment to look first - you'll be surprised how often you find helpful patterns.

Addition Problems with Commutative Property

Solve the following exercise:

$5+14+5=\text{ ?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve this problem together.

00:11 We'll arrange the problem to make it easier to understand.

00:15 Remember, we solve it by following the order of operations, moving from left to right.

00:21 And that's how we find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$5+14+5=\text{ ?}$

Step-by-step solution

Since the exercise only involves addition, we will use the commutative property to calculate more conveniently:

$5+5+14=$

We will then solve the exercise from left to right:

$5+5=10$

$10+14=24$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Commutative Property: You can rearrange addends in any order
Grouping Strategy: Combine 5+5=10 first, then add 14
Verification: Check by adding left to right: 5+14+5=24 ✓

Common Mistakes

Avoid these frequent errors

Adding numbers in the given order without looking for easier combinations
Don't just calculate 5+14=19, then 19+5=24 without thinking! This takes more mental effort and increases error risk. Always look for number pairs that make 10 or other friendly numbers first.

Practice Quiz

Test your knowledge with interactive questions

Solve:

$$ -5+4+1-3 $$

FAQ

Everything you need to know about this question

Why should I rearrange the numbers instead of just adding left to right?

Rearranging helps you find easier combinations like 5+5=10. This reduces mental workload and helps prevent calculation errors, especially with larger problems.

What is the commutative property exactly?

The commutative property means you can change the order of numbers when adding and get the same answer. So $5+14+5$ equals $5+5+14$ !

How do I know which numbers to group together?

Look for numbers that make multiples of 10 or other friendly numbers. In this problem, 5+5=10 is much easier to work with than 5+14=19.

Does this strategy work with bigger addition problems?

Absolutely! The more numbers you have, the more helpful this becomes. Always scan for pairs that make 10, 20, 100, etc. before starting your calculations.

What if I can't find any easy combinations?

That's okay! If no obvious pairs exist, just add left to right carefully. But always take a moment to look first - you'll be surprised how often you find helpful patterns.

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