Solve the Division Problem: Converting 15.5:100 to Decimal Form

Decimal Division with Powers of Ten

15.5:100= 15.5:100=

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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
00:08 Move the decimal point by 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
1

Understand the problem

15.5:100= 15.5:100=

2

Step-by-step solution

To solve the division of 15.5 15.5 by 100 100 , we follow these steps:

  • Step 1: Identify the position of the decimal point in 15.5 15.5 . Initially, the decimal point is just after the digit 15 15 .
  • Step 2: Move the decimal point two places to the left. This is because dividing by 100 100 shifts the decimal to the left by two places. Thus, 15.5 15.5 becomes 0.155 0.155 .

Therefore, the result of 15.5÷100 15.5 \div 100 is 0.155 \boxed{0.155} .

3

Final Answer

0.155 0.155

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: Move decimal in 15.5 left two places: 0.155
  • Check: Multiply answer by 100: 0.155 × 100 = 15.5 ✓

Common Mistakes

Avoid these frequent errors
  • Moving the decimal point the wrong direction
    Don't move the decimal point right when dividing by 100 = 1550 instead of 0.155! This makes the number bigger instead of smaller. 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 point left?

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When you divide by 100, you're making the number 100 times smaller. Moving the decimal point two places left shrinks the number by exactly 100 times!

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

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Add zeros as placeholders! For example, dividing 5 by 100: start with 5.0, then move left two places to get 0.05.

How many places do I move for different powers of 10?

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Count the zeros!

  • ÷ 10 (1 zero) = move 1 place left
  • ÷ 100 (2 zeros) = move 2 places left
  • ÷ 1000 (3 zeros) = move 3 places left

Is 15.5:100 15.5:100 the same as 15.5÷100 15.5 ÷ 100 ?

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Yes! The colon symbol : means division, just like the ÷ symbol. Both 15.5:100 15.5:100 and 15.5÷100 15.5 ÷ 100 equal 0.155.

How can I check my answer without a calculator?

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Use the reverse operation! Since division and multiplication are opposites, multiply your answer by 100: 0.155×100=15.5 0.155 × 100 = 15.5 ✓

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