Solve the Division Problem: 124:100 Decimal Conversion

Decimal Division with Power of Ten

124:100= 124:100=

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Step-by-step video solution

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00:00 Solve
00:04 According to the number of zeros, move the decimal point
00:10 Move the decimal point according to the number of zeros
00:25 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

124:100= 124:100=

2

Step-by-step solution

To solve this problem of dividing 124 by 100, we apply the following procedure:

  • Step 1: Recognize that the number 124 can be simplified in our problem by considering it with a decimal for ease, 124=124.0 124 = 124.0 .
  • Step 2: Understand that dividing by 100 means moving the decimal point two places to the left.
  • Step 3: Move the decimal point from its original position (at the end of 124.0) to two places to the left. After sliding the decimal point, 124.0 124.0 becomes 1.24 1.24 .

Hence, when we divide 124 by 100, the resulting number is 1.24 1.24 .

3

Final Answer

1.24 1.24

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: Transform 124.0 ÷ 100 by shifting: 124.0 → 1.24
  • Check: Multiply result by divisor: 1.24 × 100 = 124.0 ✓

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 = 12,400! This multiplies instead of divides. Always move the decimal point left when dividing by powers of 10.

Practice Quiz

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\( \text{0}.07\times10= \)

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal two places left?

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Because 100 has two zeros! Each zero represents one decimal place movement. Dividing by 10 moves one place left, dividing by 100 moves two places left, and so on.

What if there aren't enough digits to move the decimal?

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Add leading zeros! For example, if dividing 5 by 100, think of it as 5.0, then move two places left to get 0.05.

How is this different from multiplying by 100?

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Multiplying by 100 moves the decimal point right two places, while dividing by 100 moves it left two places. They're opposite operations!

Can I use long division instead of moving the decimal?

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Yes, but moving the decimal is much faster and easier! Long division with powers of 10 takes more time and has more chance for arithmetic errors.

What if I get confused about which direction to move?

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Remember: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers larger, so the decimal moves right.

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