Solve Decimal Division: 69.5 ÷ 10 Step-by-Step

Q: Why does dividing by 10 move the decimal point left?

Division makes numbers smaller! When you divide by 10, you're making the number ten times smaller. Moving the decimal point left reduces each digit's place value by 10.

Q: What if there's no decimal point showing?

Every whole number has an invisible decimal point at the end! For example, 85 is really 85.0, so $ 85 \div 10 = 8.5 $.

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

Count the zeros! $ \div 10 $ = 1 zero = 1 place left. $ \div 100 $ = 2 zeros = 2 places left. $ \div 1000 $ = 3 zeros = 3 places left.

Q: How can I check my answer quickly?

Use inverse operations! Since division and multiplication are opposites, multiply your answer by 10. If you get back to the original number, you're correct!

Decimal Division with Powers of Ten

Solve the following:

$\frac{69.5}{10}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following:

$\frac{69.5}{10}=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Understand the rule of division by 10
Step 2: Calculate by shifting the decimal point to the left

Now, let's work through each step:
Step 1: When dividing a number by 10, we shift the decimal point one position to the left.
Step 2: In the given fraction $\frac{69.5}{10}$ , we move the decimal point in 69.5 one place to the left, resulting in 6.95.

Therefore, the solution to the problem is $6.95$ , which corresponds to choice 2.

Final Answer

$6.95$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: $69.5 \div 10$ becomes 6.95 by shifting decimal
Check: Multiply answer by 10: $6.95 \times 10 = 69.5$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = $695$ instead of $6.95$ ! This makes the number larger instead of smaller. Always remember: division by 10 makes numbers smaller, so move decimal left.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{1}{4}:\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

Division makes numbers smaller! When you divide by 10, you're making the number ten times smaller. Moving the decimal point left reduces each digit's place value by 10.

What if there's no decimal point showing?

Every whole number has an invisible decimal point at the end! For example, 85 is really 85.0, so $85 \div 10 = 8.5$ .

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

Count the zeros! $\div 10$ = 1 zero = 1 place left. $\div 100$ = 2 zeros = 2 places left. $\div 1000$ = 3 zeros = 3 places left.

What if I don't have enough decimal places?

Add zeros! If you need to move 2 places left but only have 1 decimal place, add a zero. For example: $7.5 \div 100$ becomes $0.075$ .

How can I check my answer quickly?

Use inverse operations! Since division and multiplication are opposites, multiply your answer by 10. If you get back to the original number, you're correct!

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