Solve the Multiplication Problem: 7 × 5 × 2

Q: Does it matter which numbers I multiply first?

No, it doesn't matter! Multiplication is associative, meaning $ (7\times5)\times2 $ gives the same result as $ 7\times(5\times2) $. Choose the order that seems easiest to you.

Q: Why did the solution multiply 5×2 first instead of 7×5?

Because $ 5\times2=10 $ is easier to work with than 35! When you get 10, then $ 7\times10=70 $ becomes a simple mental calculation.

Q: How can I check if 70 is the right answer?

Try multiplying in a different order! Calculate $ 7\times5=35 $ first, then $ 35\times2=70 $. You should get the same answer both ways.

Q: Is there a difference between × and · symbols?

No difference at all! Both × and · mean multiplication. You might also see it written as $ 7 \cdot 5 \cdot 2 $ or even 7(5)(2) - they all mean the same thing.

Multiplication Order with Multiple Factors

$7\times5\times2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We'll use the commutative property and solve this multiplication first

00:09 We'll continue solving as usual

00:13 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

$7\times5\times2=$

Step-by-step solution

According to the rules of the order of operations, you can use the substitution property and start the exercise from right to left to comfortably calculate:

$5\times2=10$

$7\times10=70$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplication is associative, so order doesn't change the result
Technique: Group factors strategically: $5\times2=10$ , then $7\times10=70$
Check: Multiply left to right: $7\times5=35$ , then $35\times2=70$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all factors
Don't calculate 7 + 5 + 2 = 14! This gives a completely wrong result because addition and multiplication are different operations. Always multiply each factor: 7 × 5 × 2 means repeated multiplication.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

Does it matter which numbers I multiply first?

No, it doesn't matter! Multiplication is associative, meaning $(7\times5)\times2$ gives the same result as $7\times(5\times2)$ . Choose the order that seems easiest to you.

Why did the solution multiply 5×2 first instead of 7×5?

Because $5\times2=10$ is easier to work with than 35! When you get 10, then $7\times10=70$ becomes a simple mental calculation.

How can I check if 70 is the right answer?

Try multiplying in a different order! Calculate $7\times5=35$ first, then $35\times2=70$ . You should get the same answer both ways.

What if I see more than three numbers to multiply?

The same rules apply! Group the numbers in whatever way makes the calculation easiest. Look for pairs that make 10, 100, or other friendly numbers first.

Is there a difference between × and · symbols?

No difference at all! Both × and · mean multiplication. You might also see it written as $7 \cdot 5 \cdot 2$ or even 7(5)(2) - they all mean the same thing.

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