Solve the Multiplication: Calculate 10 × 10

Q: Why is 10 × 10 equal to 100 and not 20?

Multiplication means repeated addition. So $ 10 \times 10 $ means adding 10 ten times: 10+10+10+10+10+10+10+10+10+10 = 100, not just 10+10 = 20!

Q: Is there a quick way to multiply numbers ending in zero?

Yes! When multiplying by 10, just add one zero to the end. For $ 10 \times 10 $, think: '10 has one zero, so the answer has two zeros' = 100.

Q: What does the positive sign rule mean?

When you multiply two positive numbers, the result is always positive. Since both 10s are positive, $ +10 \times +10 = +100 $. The '+' sign is usually not written but understood.

Q: How can I check if 100 is the right answer?

Try division! If $ 10 \times 10 = 100 $, then $ 100 ÷ 10 = 10 $. You can also count: 100 contains exactly ten groups of 10.

Q: Why do some people write 10 · 10 instead of 10 × 10?

Both symbols mean multiplication! The dot (·) and the × symbol do the same thing. In higher math, the dot is used more often, but both $ 10 \cdot 10 $ and $ 10 \times 10 $ equal 100.

Basic Multiplication with Positive Integers

Complete the following exercise:

$10\cdot10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Positive times positive always equals positive

00:10 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

Complete the following exercise:

$10\cdot10=$

Step-by-step solution

Let's recall the rule:

$(+x)\times(+x)=+x$

Therefore, the sign of the exercise result will be positive:

$+10\times+10=+100$

Final Answer

100

Key Points to Remember

Essential concepts to master this topic

Rule: When multiplying two positive numbers, the result is positive
Technique: $10 \times 10 = 100$ by counting zeros: 10 has one zero, so 100 has two zeros
Check: Verify by repeated addition: 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 100 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't add the numbers: 10 + 10 = 20! This gives a completely wrong result because addition combines quantities while multiplication repeats them. Always remember that $10 \times 10$ means '10 groups of 10' which equals 100.

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 is 10 × 10 equal to 100 and not 20?

Multiplication means repeated addition. So $10 \times 10$ means adding 10 ten times: 10+10+10+10+10+10+10+10+10+10 = 100, not just 10+10 = 20!

Is there a quick way to multiply numbers ending in zero?

Yes! When multiplying by 10, just add one zero to the end. For $10 \times 10$ , think: '10 has one zero, so the answer has two zeros' = 100.

What does the positive sign rule mean?

When you multiply two positive numbers, the result is always positive. Since both 10s are positive, $+10 \times +10 = +100$ . The '+' sign is usually not written but understood.

How can I check if 100 is the right answer?

Try division! If $10 \times 10 = 100$ , then $100 ÷ 10 = 10$ . You can also count: 100 contains exactly ten groups of 10.

Why do some people write 10 · 10 instead of 10 × 10?

Both symbols mean multiplication! The dot (·) and the × symbol do the same thing. In higher math, the dot is used more often, but both $10 \cdot 10$ and $10 \times 10$ equal 100.

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