Solve the Decimal Division: 2.6 ÷ 10 Step by Step

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

Think of it this way: dividing makes numbers smaller, so the decimal point moves toward the smaller place values (left). Each place to the left is 10 times smaller!

Q: What if I'm dividing by 100 or 1000?

The pattern continues! Dividing by 100 moves the decimal two places left, dividing by 1000 moves it three places left. Count the zeros in the divisor.

Q: How can I check my answer quickly?

Multiply your answer by the original divisor. If $ 0.26 \times 10 = 2.6 $, then your division is correct!

Q: What if there are more decimal places?

The same rule applies! For example, $ 3.456 ÷ 10 = 0.3456 $. Just move everything one place to the left.

Decimal Division with Powers of Ten

$2.6:10=$

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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 according to the number of zeros

00:20 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

$2.6:10=$

Step-by-step solution

To solve this problem of dividing 2.6 by 10, we will observe the following steps:

Step 1: Recognize that dividing by 10 shifts the decimal point one place to the left.
Step 2: Identify the position of the decimal point in the number 2.6, which is immediately after the 2.
Step 3: Move the decimal point one place to the left, changing 2.6 to 0.26.

Thus, when you divide 2.6 by 10, the result is $0.26$ .

The correct answer is confirmed to be :

$0.26$

Final Answer

$0.26$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves the decimal point one place left
Technique: From 2.6, shift left to get 0.26
Check: Multiply answer by 10: 0.26 × 10 = 2.6 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = 26.0! This gives you multiplication instead of division. Always move the decimal point LEFT when dividing by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

$$ 20.1:10= $$

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal left?

Think of it this way: dividing makes numbers smaller, so the decimal point moves toward the smaller place values (left). Each place to the left is 10 times smaller!

What if I'm dividing by 100 or 1000?

The pattern continues! Dividing by 100 moves the decimal two places left, dividing by 1000 moves it three places left. Count the zeros in the divisor.

Do I need to add a zero in front?

Yes! When the decimal point moves past all digits, always write a zero before the decimal point. So 2.6 ÷ 10 = 0.26, not just .26.

How can I check my answer quickly?

Multiply your answer by the original divisor. If $0.26 \times 10 = 2.6$ , then your division is correct!

What if there are more decimal places?

The same rule applies! For example, $3.456 ÷ 10 = 0.3456$ . Just move everything one place to the left.

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