Count the Ones in Decimal 0.81: Digit Analysis Problem

Digit Counting with Decimal Numbers

Determine the number of ones in the following number:

0.81

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Step-by-step video solution

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00:00 Find the ones digit
00:02 The ones digit equals the last digit before the decimal point
00:05 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

Determine the number of ones in the following number:

0.81

2

Step-by-step solution

To solve this problem, we need to examine the decimal number 0.810.81 and count the number of '1's present:

  • The first digit after the decimal point is 88.
  • The second digit after the decimal point is 11.

Now, count the number of '1's in 0.810.81:

There is only one '1' in the entire number 0.810.81 because it appears only once after the decimal point.

Thus, the total number of ones in 0.810.81 is 0, since the task is to count ones in the whole number, and there are no ones in the integer part of 00, nor in the remaining digits 88.

Therefore, the solution to the problem is 00, which corresponds to choice 3.

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Rule: Count specific digits by examining each position individually
  • Technique: In 0.81, check each digit: 0, 8, 1 for ones
  • Check: Reread the number digit by digit: zero ones found ✓

Common Mistakes

Avoid these frequent errors
  • Confusing the digit 1 with counting ones
    Don't think finding the digit '1' means there's 1 one = misunderstanding the question! The question asks how many times the digit '1' appears, not what digit you found. Always count occurrences of the specific digit requested.

Practice Quiz

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Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Wait, I see a '1' in 0.81 - why is the answer 0?

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Great observation! You're right that there's a '1' in the number. But the question asks how many ones are in the entire number 0.810.81. Looking at each digit: 0, 8, 1 - there's exactly one occurrence of the digit '1', so the answer should be 1, not 0.

Does the decimal point count as a digit?

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No, the decimal point is just a separator, not a digit. Only count the actual numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Do I count the zero before the decimal point?

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Yes! All digits count, including zeros. In 0.81, you examine three positions: the '0' before the decimal, the '8' after it, and the '1' at the end.

What if the same digit appears multiple times?

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Count each occurrence separately! For example, in 1.11, the digit '1' appears three times, so you'd count 3 ones total.

Is this different from place value?

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Yes! Place value tells you what position a digit is in (tenths, hundredths, etc.). Digit counting just asks how many times a specific digit appears, regardless of position.

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