Solve Decimal Multiplication: 0.72 × 100 Step by Step

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

Think of it as making the number bigger! When you multiply by 100, you're making the number 100 times larger. Moving the decimal point right increases the value of each digit.

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

Add zeros as placeholders! For example, $ 0.7 \times 100 $ becomes 70 by adding a zero at the end before moving the decimal.

Q: How many places do I move for different powers of 10?

Count the zeros: 10 has 1 zero = move 1 place, 100 has 2 zeros = move 2 places, 1000 has 3 zeros = move 3 places, and so on!

Q: How can I double-check my work?

Use division to work backwards! Take your answer and divide by the same power of 10. If you get back to your original decimal, you're correct!

Decimal Multiplication with Powers of Ten

$0.72\times100=$

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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

00:11 Move the decimal point as many places as zeros

00:19 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

$0.72\times100=$

Step-by-step solution

To solve the problem $0.72 \times 100$ , we need to understand how multiplying by $100$ affects a decimal number.

Multiplying a number by $100$ means shifting its decimal point two places to the right. Here’s a step-by-step explanation:

Step 1: The original number is $0.72$ . Observe the decimal position just after the zero.
Step 2: Move the decimal point two places to the right because $100$ has two zeros.
- Moving it one place to the right gives $7.2$ .
- Moving it a second place gives $72$ .
Step 3: The number becomes $72$ , which is now a whole number.

Thus, the product of $0.72 \times 100$ is $72$ .

Final Answer

$72$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: Count zeros in multiplier: 100 has two zeros = move two places
Check: Verify 0.72 × 100 = 72 by dividing back: 72 ÷ 100 = 0.72 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction or wrong number of places
Don't move the decimal left or only one place = wrong answer like 0.072 or 7.2! Moving left makes numbers smaller, but multiplication should make them larger. Always move the decimal point RIGHT the same number of places as there are zeros in the power of ten.

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 right?

Think of it as making the number bigger! When you multiply by 100, you're making the number 100 times larger. Moving the decimal point right increases the value of each digit.

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

Add zeros as placeholders! For example, $0.7 \times 100$ becomes 70 by adding a zero at the end before moving the decimal.

How many places do I move for different powers of 10?

Count the zeros: 10 has 1 zero = move 1 place, 100 has 2 zeros = move 2 places, 1000 has 3 zeros = move 3 places, and so on!

What happens if my answer becomes a whole number?

That's perfectly normal! When you move the decimal point in $0.72$ two places right, you get 72, which is a whole number. Just drop the decimal point.

How can I double-check my work?

Use division to work backwards! Take your answer and divide by the same power of 10. If you get back to your original decimal, you're correct!

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