Multiply 1.6 by 100: Step-by-Step Decimal Calculation

Q: Why does multiplying by 100 move the decimal point?

Because 100 has two zeros, you move the decimal point two places right. Each zero in powers of 10 represents one decimal place movement!

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

Add zeros as placeholders! For example: $ 1.6 \times 100 $ becomes 1.6 → 16. → 160 (adding one zero).

Q: How is this different from multiplying by 10?

Multiplying by 10 moves decimal one place right: $ 1.6 \times 10 = 16 $. Multiplying by 100 moves decimal two places right: $ 1.6 \times 100 = 160 $.

Q: Can I use this method for any power of 10?

Absolutely! For 10, move 1 place. For 1000, move 3 places. The number of zeros tells you how many places to move the decimal point.

Q: What if I multiply by 0.1 or 0.01 instead?

Then you move the decimal point left! $ 1.6 \times 0.1 = 0.16 $ (one place left), $ 1.6 \times 0.01 = 0.016 $ (two places left).

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

00:03 According to the number of zeros, move the decimal point

00:10 Move the decimal point according to the number of zeros

00:16 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, let's follow these steps:

Step 1: Identify the decimal number provided, which is $1.6$ .
Step 2: Recognize that multiplying by $100$ involves shifting the decimal point two places to the right.

Now, let's apply these steps:

Initially, the number is $1.6$ .

Step 2: To multiply by $100$ , shift the decimal point from its position between the digits $1$ and $6$ two places to the right. This results in the number $160$ .

Thus, by shifting the decimal point two places to the right, $1.6 \times 100$ simplifies to $160$ .

Therefore, the solution to the problem is $160$ .

Final Answer

$160$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 shifts decimal point two places right
Technique: From $1.6$ to $160$ by moving decimal: 1.6 → 16 → 160
Check: Count decimal places moved: 1.6 has 1 decimal place, 160 has 0 ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't just add two zeros after 1.6 to get 1.600 = wrong answer! This doesn't change the value. Always move the decimal point two places to the right when multiplying by 100.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does multiplying by 100 move the decimal point?

Because 100 has two zeros, you move the decimal point two places right. Each zero in powers of 10 represents one decimal place movement!

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

Add zeros as placeholders! For example: $1.6 \times 100$ becomes 1.6 → 16. → 160 (adding one zero).

How is this different from multiplying by 10?

Multiplying by 10 moves decimal one place right: $1.6 \times 10 = 16$ . Multiplying by 100 moves decimal two places right: $1.6 \times 100 = 160$ .

Can I use this method for any power of 10?

Absolutely! For 10, move 1 place. For 1000, move 3 places. The number of zeros tells you how many places to move the decimal point.

What if I multiply by 0.1 or 0.01 instead?

Then you move the decimal point left! $1.6 \times 0.1 = 0.16$ (one place left), $1.6 \times 0.01 = 0.016$ (two places left).

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