Solve Decimal Division: 62.35 ÷ 100 Step-by-Step

Decimal Division with Powers of Ten

62.35:100= 62.35:100=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:08 Count the zeros, then shift the decimal point.
00:14 Move the decimal point as many times as there are zeros.
00:24 And that's how we find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

62.35:100= 62.35:100=

2

Step-by-step solution

To solve the problem of dividing 62.35 62.35 by 100 100 , we need to understand how dividing by powers of ten affects a decimal. Dividing by 100 100 is equivalent to shifting the decimal point two places to the left.

Let's follow these steps to find our solution:

  • Step 1: Identify the original decimal: 62.35 62.35 .

  • Step 2: Since we are dividing by 100 100 , shift the decimal point two places to the left:

Starting with 62.35 62.35 , the decimal point is currently after the 2 2 . Moving it two places to the left gives us: Initial:62.35Shift one place:6.235Shift two places:0.6235 \begin{aligned} Initial: & \quad 62.35\\ Shift~one~place: & \quad 6.235\\ Shift~two~places: & \quad 0.6235 \end{aligned}

Therefore, the result of dividing 62.35 62.35 by 100 100 is 0.6235 0.6235 .

Examining the choices, the correct answer is clearly choice (2): 0.6235 0.6235 .

Thus, the solution to the problem is 0.6235 \boxed{0.6235} .

3

Final Answer

0.6235 0.6235

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: From 62.35, shift left: 6.235, then 0.6235
  • Check: Multiply result by 100: 0.6235 × 100 = 62.35 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal point to the right when dividing by 100 = 6235 instead of 0.6235! Division makes numbers smaller, not bigger. 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 dividing by 100 move the decimal left?

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Because division makes numbers smaller! When you divide by 100, you're finding how many hundredths fit into your number. Moving left makes the number smaller, which is exactly what division should do.

How do I remember which direction to move the decimal?

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Think: Division = Direction Left! Also remember that 62.35÷100 62.35 ÷ 100 should give you something much smaller than 62.35, so 0.6235 makes sense.

What if there aren't enough digits to move left?

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Add zeros as placeholders! For example, 5.2÷100 5.2 ÷ 100 becomes 0.052 because you need to add a zero before the 5.

Does this work for other powers of 10?

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Yes!

  • ÷ 10 = move 1 place left
  • ÷ 100 = move 2 places left
  • ÷ 1000 = move 3 places left
The number of zeros tells you how many places to move.

How can I check my answer?

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Multiply your result by the original divisor. If 62.35÷100=0.6235 62.35 ÷ 100 = 0.6235 , then 0.6235×100 0.6235 × 100 should equal 62.35!

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