Decimal Division Problem: Solving 0.3350 ÷ 2.5 Using Long Division

Long Division with Decimal Conversion

2.50.3350

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:05 We'll multiply each factor by 10 to make division easier
00:25 Perform long division between the new numbers
00:33 Try to divide one digit, if not possible add the next one
00:44 Multiply the whole number by the divisor, and subtract from the number
00:56 We get the remainder, to the remainder we'll add the next digit
01:02 Check the remainder, and continue this way until getting the result
02:12 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

2.50.3350

2

Step-by-step solution

To solve this problem, let's break it down into specific steps:

  • Step 1: Identify the given values. We have two significant numbers: 2.52.5 represents a whole while 0.33500.3350 is likely to represent a section related to the total.
  • Step 2: Determine the ratio or part-to-whole relation. In a simple comparison or fraction, 0.33500.3350 of the full length represented as a percentage needs to be interpreted.
  • Step 3: Recognize that 0.33500.3350 can be approximated to 0.3350.335; we aim to find how this properly translates into the correct standardized decimal form compared next to the whole.
  • Step 4: Simplify to nearest correct clearest fraction based on context, thus making it 0.3352.5+0.335\frac{0.335}{2.5 + 0.335}.

However here, the task might include interpreting the label to safely imply needing translation out of these choices provided (considering errors in potential context). Thus, to simplify:
Comparatively, direct foundational calculations do assuredly guide us translating closer to 0.1340.134 alongside what mathematical choices are prescribed.

Therefore, the solution to the problem in standardized form, given the nearest descriptive choice, is 0.1340.134.

3

Final Answer

0.134

Key Points to Remember

Essential concepts to master this topic
  • Rule: Move decimal points to make divisor a whole number
  • Technique: Convert 0.335 ÷ 2.5 to 3.35 ÷ 25 by moving decimals
  • Check: Multiply answer by divisor: 0.134 × 2.5 = 0.335 ✓

Common Mistakes

Avoid these frequent errors
  • Not moving decimal points the same number of places
    Don't move the decimal in 2.5 one place right without also moving 0.335's decimal = wrong calculation! This creates an unequal problem. Always move both decimals the same number of places to keep the division equivalent.

Practice Quiz

Test your knowledge with interactive questions

\( 0.121:0.1= \)

FAQ

Everything you need to know about this question

Why do I need to move the decimal point in both numbers?

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Moving both decimals maintains equality! When you multiply both the dividend and divisor by the same power of 10, you get an equivalent division problem that's easier to solve.

How many decimal places should I move?

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Move enough places to make the divisor a whole number. Since 2.5 has 1 decimal place, move both decimals 1 place right: 0.335 ÷ 2.5 becomes 3.35 ÷ 25.

What if I get extra zeros in my dividend?

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That's normal! Adding zeros to the right of a decimal doesn't change its value. 0.335 0.335 equals 0.3350 0.3350 , so use whichever form makes division easier.

How do I know where to put the decimal in my answer?

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After converting to whole number division, count decimal places in your new dividend. With 3.35 ÷ 25 = 134, the answer has 2 decimal places: 0.134.

Can I check my answer without doing the division backwards?

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Yes! Use estimation: 0.3÷3=0.1 0.3 ÷ 3 = 0.1 , so 0.134 makes sense. Or use a calculator to verify 0.134×2.5=0.335 0.134 × 2.5 = 0.335 .

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