Solve Decimal Division: 0.7 ÷ 0.01 Step-by-Step

Q: Why do we multiply by 100 instead of 10?

We need to eliminate all decimals! Since 0.01 has 2 decimal places, we multiply by $ 10^2 = 100 $ to make it a whole number. This keeps the division equivalent.

Q: What if I forget to multiply both numbers?

You'll get the wrong answer! Division only stays the same when you multiply both the dividend and divisor by the same number. Think of it like equivalent fractions.

Q: Can I solve this without eliminating decimals?

Yes, but it's much harder! You could think: "How many 0.01s fit into 0.7?" But converting to whole numbers ($ 70 ÷ 1 $) makes the math much simpler.

Q: How do I know which power of 10 to use?

Count the maximum decimal places in either number. Here, 0.01 has 2 decimal places, so use $ 10^2 = 100 $ to clear all decimals.

Q: Why is the answer 70 and not 0.70?

When dividing by a small decimal like 0.01, you're finding "how many tiny pieces fit into the whole." Since 0.01 is very small, many of them (70!) fit into 0.7.

Decimal Division with Place Value Adjustment

$0.7:0.01=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 We'll multiply each factor by 100, to make it easier to divide

00:35 We'll divide between the new numbers and calculate the quotient

00:39 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

$0.7:0.01=$

Step-by-step solution

To solve this problem, we'll adopt the following approach:

Step 1: Multiply both numbers by 100 to simplify the division.
Step 2: Perform the division on whole numbers.

Now, let's work through the steps:
Step 1: Multiplying $0.7$ by 100, we obtain $70$ . Multiplying $0.01$ by 100, we obtain $1$ .
Step 2: Now perform the division: $70 \div 1 = 70$ .

Therefore, the solution to the problem is $70$ .

Final Answer

$70$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both numbers by same power of 10 to eliminate decimals
Technique: Multiply by 100: 0.7 becomes 70, 0.01 becomes 1
Check: Verify 70 × 0.01 = 0.7 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal points incorrectly
Don't just move the decimal point randomly or count wrong = answers like 7 or 700! This happens when you don't multiply both numbers by the same amount. Always multiply both dividend and divisor by the exact same power of 10.

Practice Quiz

Test your knowledge with interactive questions

$$ 0.121:0.1= $$

FAQ

Everything you need to know about this question

Why do we multiply by 100 instead of 10?

We need to eliminate all decimals! Since 0.01 has 2 decimal places, we multiply by $10^2 = 100$ to make it a whole number. This keeps the division equivalent.

What if I forget to multiply both numbers?

You'll get the wrong answer! Division only stays the same when you multiply both the dividend and divisor by the same number. Think of it like equivalent fractions.

Can I solve this without eliminating decimals?

Yes, but it's much harder! You could think: "How many 0.01s fit into 0.7?" But converting to whole numbers ( $70 ÷ 1$ ) makes the math much simpler.

How do I know which power of 10 to use?

Count the maximum decimal places in either number. Here, 0.01 has 2 decimal places, so use $10^2 = 100$ to clear all decimals.

Why is the answer 70 and not 0.70?

When dividing by a small decimal like 0.01, you're finding "how many tiny pieces fit into the whole." Since 0.01 is very small, many of them (70!) fit into 0.7.

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