Solve the Multiplication: 4 × 26 × 25 Step-by-Step

Q: Why multiply 4 × 25 first instead of going left to right?

Multiplying $ 4 \times 25 = 100 $ creates a round number that's much easier to work with! Then $ 100 \times 26 = 2,600 $ is simpler than calculating $ 104 \times 25 $.

Q: Does the order really not matter in multiplication?

Yes! The commutative property says $ a \times b = b \times a $. You can multiply 4 × 26 × 25 in any order and always get the same answer: 2,600.

Q: How do I spot good number combinations to multiply first?

Look for pairs that make round numbers! Common easy pairs include:4 × 25 = 1002 × 50 = 1008 × 125 = 1,000Any number × 10, 100, or 1,000

Q: What if I don't see an easy combination?

That's okay! You can still multiply from left to right as usual. The strategic grouping is just a helpful shortcut when you spot easy pairs that make round numbers.

Q: How can I check my answer is correct?

Try calculating the problem a different way! If you used $ 4 \times 25 \times 26 $, check with $ 4 \times 26 \times 25 $. Both should give 2,600.

Multiplication with Commutative Property

Solve the following exercise:

$4\times26\times25=$

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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.

00:10 First, we'll organize the exercise for easy solving.

00:16 Now, we'll work through each multiplication step by step.

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:

$4\times26\times25=$

Step-by-step solution

Since the exercise involves only multiplication, we will use the commutative property to simplify the calculation:

$4\times25\times26=$

We will solve the exercise from left to right:

$4\times25=100$

$100\times26=2,600$

Final Answer

$2,600$

Key Points to Remember

Essential concepts to master this topic

Commutative Property: Numbers can be multiplied in any order
Strategic Grouping: Multiply 4 × 25 = 100 first for easier calculation
Verification: Check by calculating left to right: 4 × 26 × 25 = 2,600 ✓

Common Mistakes

Avoid these frequent errors

Multiplying strictly left to right without strategic grouping
Don't multiply 4 × 26 = 104 first, then 104 × 25 = 2,600! While this gives the correct answer, it makes calculations harder with larger intermediate numbers. Always look for easier combinations like 4 × 25 = 100 to simplify your work.

Practice Quiz

Test your knowledge with interactive questions

Solve:

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

FAQ

Everything you need to know about this question

Why multiply 4 × 25 first instead of going left to right?

Multiplying $4 \times 25 = 100$ creates a round number that's much easier to work with! Then $100 \times 26 = 2,600$ is simpler than calculating $104 \times 25$ .

Does the order really not matter in multiplication?

Yes! The commutative property says $a \times b = b \times a$ . You can multiply 4 × 26 × 25 in any order and always get the same answer: 2,600.

How do I spot good number combinations to multiply first?

Look for pairs that make round numbers! Common easy pairs include:

4 × 25 = 100
2 × 50 = 100
8 × 125 = 1,000
Any number × 10, 100, or 1,000

What if I don't see an easy combination?

That's okay! You can still multiply from left to right as usual. The strategic grouping is just a helpful shortcut when you spot easy pairs that make round numbers.

How can I check my answer is correct?

Try calculating the problem a different way! If you used $4 \times 25 \times 26$ , check with $4 \times 26 \times 25$ . Both should give 2,600.

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