Calculate the Product: (+9) × (+9) × (+2) Step by Step

Q: Why do I multiply 9 × 9 first instead of 9 × 2?

You can actually multiply in any order due to the associative property! Whether you do (9 × 9) × 2 or 9 × (9 × 2), you'll get the same answer. Choose the order that feels easiest to calculate.

Q: What does the (+) sign mean in front of each number?

The plus signs emphasize that these are positive numbers. Since all factors are positive, your final answer will also be positive. This helps distinguish from negative number problems.

Q: Can I just calculate 9² × 2 instead?

Absolutely! Since $ 9^2 = 9 \times 9 = 81 $, you can write this as $ 9^2 \times 2 = 81 \times 2 = 162 $. Both methods give the same correct answer!

Q: How do I avoid calculation errors with larger numbers?

Break it into smaller steps! Write out 9 × 9 = 81 first, then carefully calculate 81 × 2. Double-check each step before moving to the next one.

Q: What if one of the numbers was negative instead?

Great question! If you had one negative factor, like (-9) × 9 × 2, the result would be negative. But since all three factors here are positive, the answer stays positive.

Q: Is there a faster way to multiply 81 × 2?

Yes! Think of it as 80 × 2 + 1 × 2 = 160 + 2 = 162. Or simply remember that doubling 81 means adding 81 + 81 = 162.

Positive Integer Multiplication with Multiple Factors

$(+9)\times(+9)\times(+2)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem step by step.

00:10 We'll work through each operation carefully.

00:13 Now let's tackle this multiplication.

00:16 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(+9)\times(+9)\times(+2)=$

Step-by-step solution

To solve the multiplication $(+9) \times (+9) \times (+2)$ :

Step 1: Calculate the product of the first two numbers.

$9 \times 9 = 81$

Step 2: Use the result from Step 1 in the multiplication with the third number.

$81 \times 2 = 162$

Therefore, the result of the multiplication $(+9) \times (+9) \times (+2)$ is $\textbf{162}$ .

Final Answer

162

Key Points to Remember

Essential concepts to master this topic

Rule: When all factors are positive, the result is always positive
Technique: Multiply left to right: 9 × 9 = 81, then 81 × 2 = 162
Check: Count factors and verify: 3 positive numbers × each other = positive result ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying when numbers are repeated
Don't calculate 9 + 9 + 2 = 20 when you see repeated factors! This confuses addition with multiplication and gives completely wrong answers. Always multiply each factor: 9 × 9 × 2 = 162.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why do I multiply 9 × 9 first instead of 9 × 2?

You can actually multiply in any order due to the associative property! Whether you do (9 × 9) × 2 or 9 × (9 × 2), you'll get the same answer. Choose the order that feels easiest to calculate.

What does the (+) sign mean in front of each number?

The plus signs emphasize that these are positive numbers. Since all factors are positive, your final answer will also be positive. This helps distinguish from negative number problems.

Can I just calculate 9² × 2 instead?

Absolutely! Since $9^2 = 9 \times 9 = 81$ , you can write this as $9^2 \times 2 = 81 \times 2 = 162$ . Both methods give the same correct answer!

How do I avoid calculation errors with larger numbers?

Break it into smaller steps! Write out 9 × 9 = 81 first, then carefully calculate 81 × 2. Double-check each step before moving to the next one.

What if one of the numbers was negative instead?

Great question! If you had one negative factor, like (-9) × 9 × 2, the result would be negative. But since all three factors here are positive, the answer stays positive.

Is there a faster way to multiply 81 × 2?

Yes! Think of it as 80 × 2 + 1 × 2 = 160 + 2 = 162. Or simply remember that doubling 81 means adding 81 + 81 = 162.

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