Solve Decimal Division: 1.65 ÷ 10 Step-by-Step

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

Division makes numbers smaller, so the decimal point moves toward the smaller place values (left). Think of it this way: 1.65 ÷ 10 means we're making 1.65 ten times smaller!

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

Use this memory trick: Division = Decimal moves Left (both start with 'D'). For multiplication by 10, the decimal moves right because the number gets bigger.

Q: Does this rule work for other powers of 10?

Yes! For ÷100, move decimal two places left. For ÷1000, move three places left. The number of zeros in the divisor equals the number of places to move.

Q: What if my calculator gives a different answer?

Double-check your calculator input! Make sure you entered 1.65 ÷ 10 correctly. The answer should always be $ 0.165 $ for this problem.

Decimal Division with Powers of Ten

$1.65:10=$

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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

00:09 Move the decimal point according to the number of zeros

00:18 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

$1.65:10=$

Step-by-step solution

To solve the problem of dividing 1.65 by 10, we apply the rule for decimal division by powers of ten:

Step 1: Identify the given number, which is 1.65.
Step 2: Apply the rule for division by 10. This involves moving the decimal point one place to the left.
Step 3: Starting with 1.65, move the decimal point one place to the left to get 0.165.

Therefore, after dividing 1.65 by 10, we obtain $0.165$ .

Final Answer

$0.165$

Key Points to Remember

Essential concepts to master this topic

Rule: When dividing by 10, move decimal point one place left
Technique: From 1.65, decimal moves left to get 0.165
Check: Multiply result by 10: 0.165 × 10 = 1.65 ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point in the wrong direction
Don't move the decimal point right when dividing by 10 = getting 16.5 instead! This makes the number larger when division should make it smaller. Always move the decimal point left when dividing by powers 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 the decimal point move left when dividing by 10?

Division makes numbers smaller, so the decimal point moves toward the smaller place values (left). Think of it this way: 1.65 ÷ 10 means we're making 1.65 ten times smaller!

What if I need to add zeros when moving the decimal?

Sometimes you need to add zeros as placeholders! For example, $0.5 ÷ 10 = 0.05$ . Add a zero before the 5 to properly place the decimal.

How do I remember which direction to move the decimal?

Use this memory trick: Division = Decimal moves Left (both start with 'D'). For multiplication by 10, the decimal moves right because the number gets bigger.

Does this rule work for other powers of 10?

Yes! For ÷100, move decimal two places left. For ÷1000, move three places left. The number of zeros in the divisor equals the number of places to move.

What if my calculator gives a different answer?

Double-check your calculator input! Make sure you entered 1.65 ÷ 10 correctly. The answer should always be $0.165$ for this problem.

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