Calculate the Sum: 13 + 101 + 7 Step by Step

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

Rearranging helps you find easier combinations! Numbers like 13 + 7 = 20 are much simpler to calculate than 13 + 101 = 114, making the whole problem faster and less error-prone.

Q: Is it always okay to change the order of addition?

Yes! The commutative property says you can add numbers in any order and get the same answer. This works for addition but not for subtraction or division.

Q: What if I already added from left to right?

That's fine too! $ 13 + 101 = 114 $, then $ 114 + 7 = 121 $. Both methods give the same correct answer of 121.

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

Look for pairs that make round numbers like 10, 20, or 100. In this case, 13 + 7 = 20 is much easier than other combinations!

Q: What if I get a different answer?

Double-check your arithmetic! Common errors include forgetting to carry when adding or misreading numbers. Try adding the numbers in a different order to verify.

Basic Addition with Commutative Property

Solve the following exercise:

$13+101+7=\text{ ?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together.

00:08 First, let's arrange the problem to make it easier to understand.

00:14 We'll follow the order of operations, starting from left to right.

00:19 Each time, we'll focus on solving the leftmost operation.

00:24 And that's how we find the solution to the question. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$13+101+7=\text{ ?}$

Step-by-step solution

Since the exercise involves only addition, we will use the commutative property in order to solve the problem.

$13+7+101=$

Solve the exercise from left to right:

$13+7=20$

$20+101=121$

Final Answer

121

Key Points to Remember

Essential concepts to master this topic

Rule: Addition can be done in any order using commutative property
Technique: Rearrange easier pairs first: 13 + 7 = 20
Check: Verify by adding in original order: 13 + 101 + 7 = 121 ✓

Common Mistakes

Avoid these frequent errors

Adding all numbers without strategic grouping
Don't add 13 + 101 + 7 in the given order = harder mental math! This makes simple problems unnecessarily difficult and increases error chances. Always look for number pairs that make 10s, 20s, or other easy sums 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 adding left to right?

Rearranging helps you find easier combinations! Numbers like 13 + 7 = 20 are much simpler to calculate than 13 + 101 = 114, making the whole problem faster and less error-prone.

Is it always okay to change the order of addition?

Yes! The commutative property says you can add numbers in any order and get the same answer. This works for addition but not for subtraction or division.

What if I already added from left to right?

That's fine too! $13 + 101 = 114$ , then $114 + 7 = 121$ . Both methods give the same correct answer of 121.

How do I know which numbers to group together?

Look for pairs that make round numbers like 10, 20, or 100. In this case, 13 + 7 = 20 is much easier than other combinations!

What if I get a different answer?

Double-check your arithmetic! Common errors include forgetting to carry when adding or misreading numbers. Try adding the numbers in a different order to verify.

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