Solve: 1.6 × 100 - Decimal Multiplication Practice

Q: Why do I move the decimal point instead of doing regular multiplication?

Moving the decimal point is a shortcut that works specifically with powers of 10 (10, 100, 1000, etc.). It's faster and less error-prone than traditional multiplication!

Q: What if there aren't enough digits to move the decimal point?

Add zeros to the right as placeholders! For example, 1.6 becomes 1.60, then you can move the decimal point two places to get 160.

Q: Does this rule work for dividing by powers of 10 too?

Yes! But you move the decimal point left instead of right. Dividing by 100 means moving the decimal 2 places left.

Q: How do I remember which direction to move the decimal?

Multiplication = Right, Division = Left. Think: multiplying makes numbers bigger, so the decimal moves right to make more whole number places!

Q: What if I'm multiplying by 10, 1000, or other powers of 10?

×10: Move decimal 1 place right×100: Move decimal 2 places right×1000: Move decimal 3 places rightCount the zeros to know how many places to move!

Decimal Multiplication with Powers of Ten

$1.6\times100=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 According to the number of zeros, move the decimal point

00:09 Move the decimal point as many places as there are zeros

00:21 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

$1.6\times100=$

Step-by-step solution

To solve this problem, we follow these steps:

Step 1: Recognize the task is to multiply $1.6$ by $100$ .
Step 2: Determine the number of zeros in $100$ , which is $2$ .
Step 3: Move the decimal point in $1.6$ two places to the right.

Let's apply the steps:
When multiplying $1.6$ by $100$ , note that there are $2$ zeros in $100$ . Hence, move the decimal point in $1.6$ from its original position two places to the right. This transforms $1.6$ to $160$ .

Therefore, the product of $1.6$ and $100$ is $160$ .

Final Answer

$160$

Key Points to Remember

Essential concepts to master this topic

Rule: When multiplying by powers of 10, move decimal point right
Technique: Count zeros in 100 (2 zeros), move decimal 2 places right
Check: Verify 1.6 × 100 = 160 by counting decimal places moved ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't just add zeros to 1.6 to get 1.600 = wrong answer! This doesn't change the value and ignores multiplication. Always move the decimal point right based on the number of zeros in the power of 10.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why do I move the decimal point instead of doing regular multiplication?

Moving the decimal point is a shortcut that works specifically with powers of 10 (10, 100, 1000, etc.). It's faster and less error-prone than traditional multiplication!

What if there aren't enough digits to move the decimal point?

Add zeros to the right as placeholders! For example, 1.6 becomes 1.60, then you can move the decimal point two places to get 160.

Does this rule work for dividing by powers of 10 too?

Yes! But you move the decimal point left instead of right. Dividing by 100 means moving the decimal 2 places left.

How do I remember which direction to move the decimal?

Multiplication = Right, Division = Left. Think: multiplying makes numbers bigger, so the decimal moves right to make more whole number places!

What if I'm multiplying by 10, 1000, or other powers of 10?

×10: Move decimal 1 place right
×100: Move decimal 2 places right
×1000: Move decimal 3 places right

Count the zeros to know how many places to move!

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