Counting Ones in 0.73: Decimal Digit Analysis

Q: Why isn't the 7 counted as containing a 1?

The digit 7 is a single, complete digit - it's not made up of other digits! When counting specific digits, we look at each position as one complete unit, not as combinations of other numbers.

Q: What about the 0 before the decimal point?

Yes, include it! The number $ 0.73 $ has three digits total: 0 (before decimal), 7 (first after decimal), and 3 (second after decimal). None of these is the digit 1.

Q: Do I need to count digits in any special order?

No special order needed! You can count from left to right, right to left, or any way you prefer. Just make sure you examine every single digit in the number.

Q: What if the number was 1.73 instead?

Then you'd have one digit that is 1! The number 1.73 contains the digits 1, 7, and 3, so it would have exactly one occurrence of the digit 1.

Q: Is this the same as counting how many times I see the digit 1?

Exactly! You're looking for the digit 1 in each position of the number. In $ 0.73 $, the digit 1 appears zero times, so the answer is 0.

Digit Counting with Decimal Numbers

Determine the number of ones in the following number:

0.73

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Step-by-step video solution

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00:00 Find the units digit

00:02 The units digit equals the last digit before the decimal point

00:05 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Determine the number of ones in the following number:

0.73

Step-by-step solution

To solve this problem, let's carefully examine the decimal number $0.73$ digit by digit:

The first digit after the decimal point is $7$ .
The second digit after the decimal point is $3$ .

We observe that there are no digits in the sequence of $0.73$ that are the number '1'. Therefore, there are no '1's in the decimal number $0.73$ .

Thus, the number of ones in the number $0.73$ is 0.

The correct choice, given the options, is choice id 1: 0.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Count each digit position separately in decimal numbers
Technique: In 0.73, check digits: 7 (not 1), 3 (not 1)
Check: Verify by reading each digit aloud: zero-point-seven-three contains no ones ✓

Common Mistakes

Avoid these frequent errors

Counting the digit 7 as containing a 1
Don't assume 7 contains the digit 1 = counting 1 instead of 0! The digit 7 is completely different from the digit 1. Always examine each individual digit separately without breaking them down further.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Why isn't the 7 counted as containing a 1?

The digit 7 is a single, complete digit - it's not made up of other digits! When counting specific digits, we look at each position as one complete unit, not as combinations of other numbers.

What about the 0 before the decimal point?

Yes, include it! The number $0.73$ has three digits total: 0 (before decimal), 7 (first after decimal), and 3 (second after decimal). None of these is the digit 1.

Do I need to count digits in any special order?

No special order needed! You can count from left to right, right to left, or any way you prefer. Just make sure you examine every single digit in the number.

What if the number was 1.73 instead?

Then you'd have one digit that is 1! The number 1.73 contains the digits 1, 7, and 3, so it would have exactly one occurrence of the digit 1.

Is this the same as counting how many times I see the digit 1?

Exactly! You're looking for the digit 1 in each position of the number. In $0.73$ , the digit 1 appears zero times, so the answer is 0.

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