Solve: 12.2 Divided by 10 - Decimal Division Practice

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

Dividing by 10 makes numbers 10 times smaller. Moving the decimal point one place to the left achieves exactly this! Think: $ 100 \div 10 = 10 $ - the decimal moves from after two zeros to after one zero.

Q: What if there's no decimal point visible in the number?

Every whole number has an invisible decimal point at the end! For example, 25 is really $ 25.0 $, so $ 25 \div 10 = 2.5 $.

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

Division makes smaller, multiplication makes bigger! When dividing by 10, move left (smaller position). When multiplying by 10, move right (bigger position).

Q: What happens when I divide by 100 or 1000?

Move the decimal point one place left for each zero! Dividing by 100 moves it 2 places left, dividing by 1000 moves it 3 places left.

Q: What if moving left creates empty spaces?

Fill empty spaces with zeros! For example, $ 5 \div 100 = 0.05 $ - we add a zero in the tenths place to hold position.

Decimal Division with Powers of Ten

$12.2:10=$

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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

00:08 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

$12.2:10=$

Step-by-step solution

To solve this division problem, we will follow these steps:

Step 1: Identify the initial position of the decimal point in the number $12.2$ .
Step 2: Apply the rule for division by $10$ , which involves moving the decimal point one place to the left.
Step 3: Confirm the resulting value after the decimal shift.

Now, let's proceed with addressing each step:

Step 1: The number $12.2$ has its decimal point positioned after the digit $2$ .

Step 2: Dividing by $10$ means moving this decimal point one place to the left, resulting in the decimal point being placed after the number $1$ , turning $12.2$ into $1.22$ .

Step 3: Thus, the value obtained is $1.22$ .

Therefore, the solution to the problem is $1.22$ .

Final Answer

$\text{1}.22$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: $12.2 \div 10$ becomes $1.22$ by shifting left
Check: Multiply answer by 10: $1.22 \times 10 = 12.2$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point to the right when dividing by 10 = 122.0! This multiplies instead of divides. Always remember: dividing by 10 makes numbers smaller, so move decimal left.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

Dividing by 10 makes numbers 10 times smaller. Moving the decimal point one place to the left achieves exactly this! Think: $100 \div 10 = 10$ - the decimal moves from after two zeros to after one zero.

What if there's no decimal point visible in the number?

Every whole number has an invisible decimal point at the end! For example, 25 is really $25.0$ , so $25 \div 10 = 2.5$ .

How do I remember which direction to move the decimal?

Division makes smaller, multiplication makes bigger! When dividing by 10, move left (smaller position). When multiplying by 10, move right (bigger position).

What happens when I divide by 100 or 1000?

Move the decimal point one place left for each zero! Dividing by 100 moves it 2 places left, dividing by 1000 moves it 3 places left.

What if moving left creates empty spaces?

Fill empty spaces with zeros! For example, $5 \div 100 = 0.05$ - we add a zero in the tenths place to hold position.

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