Calculate the Product: Solving 100 × 2 Step by Step

Q: Why is the answer positive?

When you multiply two positive numbers, the result is always positive. Since both 100 and 2 are positive, $ 100 \times 2 = +200 $.

Q: Is there a shortcut for multiplying by 100?

Yes! To multiply any number by 100, just add two zeros to the end. So 2 × 100 = 200. This works because 100 = 10 × 10.

Q: What if the numbers were negative?

If both numbers were negative, like $ (-100) \times (-2) $, the answer would still be positive 200 because negative × negative = positive.

Q: How can I check my multiplication?

Use division to check! Divide your answer by one of the original numbers: $ 200 ÷ 100 = 2 $ or $ 200 ÷ 2 = 100 $. Both should give you the other original number.

Q: What does the multiplication sign mean?

The multiplication sign (× or ·) means "groups of" or "times." So 100 × 2 means "100 groups of 2" or "2 groups of 100" - both equal 200!

Basic Multiplication with Positive Integers

Complete the following exercise:

$100\cdot2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:05 Positive times positive is always positive

00:11 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:

$100\cdot2=$

Step-by-step solution

Let's remember the rule:

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

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

$+100\times+2=+200$

Final Answer

200

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply the numbers and determine the sign
Technique: 100 × 2 means adding 100 twice: 100 + 100 = 200
Check: Divide the answer by one factor: 200 ÷ 2 = 100 ✓

Common Mistakes

Avoid these frequent errors

Forgetting zeros when multiplying by 100
Don't just multiply 1 × 2 = 2 and forget the zeros! This gives 2 instead of 200. Always remember that 100 has two zeros, so multiplying by 100 adds two zeros to your result.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$(+6)\cdot(+9)=$

FAQ

Everything you need to know about this question

Why is the answer positive?

When you multiply two positive numbers, the result is always positive. Since both 100 and 2 are positive, $100 \times 2 = +200$ .

Is there a shortcut for multiplying by 100?

Yes! To multiply any number by 100, just add two zeros to the end. So 2 × 100 = 200. This works because 100 = 10 × 10.

What if the numbers were negative?

If both numbers were negative, like $(-100) \times (-2)$ , the answer would still be positive 200 because negative × negative = positive.

How can I check my multiplication?

Use division to check! Divide your answer by one of the original numbers: $200 ÷ 100 = 2$ or $200 ÷ 2 = 100$ . Both should give you the other original number.

What does the multiplication sign mean?

The multiplication sign (× or ·) means "groups of" or "times." So 100 × 2 means "100 groups of 2" or "2 groups of 100" - both equal 200!

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