Solve Decimal Division: 15.5 ÷ 0.5 Using Standard Method

Decimal Division with Equivalent Multiplication

15.5:0.5= 15.5:0.5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply each factor by 10 to make division easier
00:30 Perform long division between the new numbers
00:35 Try to divide one digit, if not possible add the next one
00:43 Check the remainder, and continue until we get the quotient
00:59 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

15.5:0.5= 15.5:0.5=

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Remove the decimals by multiplying both the dividend and the divisor by the same power of 10.
  • Step 2: Perform the division on the resulting whole numbers.
  • Step 3: Simplify and verify the result against the multiple-choice options.

Now, let's work through the solution:

Step 1: Multiply both 15.5 and 0.5 by 10 to eliminate the decimals.
15.5×10=155 15.5 \times 10 = 155
0.5×10=5 0.5 \times 10 = 5

Step 2: Divide the resulting whole numbers:
155÷5=31 155 \div 5 = 31

Step 3: We check the result against the choices. The result 31 31 corresponds to choice 1.

Therefore, the solution to the problem is 31 31 .

3

Final Answer

31 31

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by same power of 10
  • Technique: Convert 15.5 ÷ 0.5 to 155 ÷ 5 = 31
  • Check: Multiply result by divisor: 31 × 0.5 = 15.5 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal points different amounts in dividend and divisor
    Don't move the decimal point 1 place in 15.5 but 2 places in 0.5 = creates wrong numbers! This changes the value of your division completely. Always multiply both numbers by the exact same power of 10.

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 can I multiply both numbers by 10?

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Multiplying both the dividend and divisor by the same number doesn't change the answer! It's like simplifying a fraction - 15.50.5=1555 \frac{15.5}{0.5} = \frac{155}{5} gives the same result.

What if the divisor has more decimal places than the dividend?

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Always look at the number with more decimal places! If dividing by 0.25, multiply both numbers by 100 to clear both decimal places completely.

Can I just ignore the decimal points?

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Never! Ignoring decimals changes your numbers completely. 15.5 ÷ 0.5 is very different from 155 ÷ 5 without proper conversion.

How do I know what power of 10 to use?

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Count the decimal places in both numbers. Use the power of 10 that moves the decimal point enough places to make both numbers whole. For 0.5, that's 10¹.

What if I get a different answer than the choices?

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Double-check your multiplication step! Make sure you multiplied both numbers by the same power of 10. Then verify by multiplying your answer by the original divisor.

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