Solve Division Problem: 1036 ÷ 100 Step by Step

Division by Powers of Ten

1036:100= 1036:100=

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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
00:09 Move the decimal point as many places as zeros
00:19 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

1036:100= 1036:100=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the given information and operation.
  • Step 2: Apply the rule for division by 100.
  • Step 3: Perform the calculation and check against the choices.

Now, let's work through each step:

Step 1: We need to divide 1036 by 100. This is equivalent to finding how many hundreds fit into 1036.

Step 2: When dividing a number by 100, the decimal point is shifted two positions to the left. The original number 1036 can be expressed as 1036.0 (adding a decimal point and a zero for clarity). By moving the decimal point two places to the left, we convert 1036.0 to 10.36.

Step 3: Therefore, 1036÷100=10.36 1036 \div 100 = 10.36 .

Comparing this result to the given multiple-choice options, the correct answer is choice 2, which is 10.36 10.36 .

Therefore, the solution to this problem is 10.36 10.36 .

3

Final Answer

10.36 10.36

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: Convert 1036.0 → 10.36 by shifting decimal left twice
  • Check: Multiply answer by 100: 10.36 × 100 = 1036 ✓

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 = 103600! This multiplies instead of dividing. Always remember: division by powers of 10 moves decimal LEFT.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

22.1-12.0

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal left?

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Think of it this way: 100 is bigger than 1036, so when you divide, you get a smaller number. Moving the decimal point left makes numbers smaller, which is exactly what division should do!

What if there's no decimal point in the original number?

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Every whole number has an invisible decimal point at the end! So 1036 is really 1036.0, and you can move that decimal point left as needed.

How do I remember which way to move the decimal?

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Use this trick: Division makes numbers smaller, so move decimal left. Multiplication makes numbers bigger, so move decimal right.

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

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If you run out of digits when moving left, add zeros to the left of your number. For example: 25 ÷ 100 becomes 0.25 (adding a zero before the 2).

Does this work for dividing by 10 or 1000 too?

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  • ÷ 10: Move decimal 1 place left
  • ÷ 100: Move decimal 2 places left
  • ÷ 1000: Move decimal 3 places left

The pattern is: count the zeros and move decimal that many places!

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