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

a is negative number.

b is negative number.

What is the sum of a+b?

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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