Counting Ones in 0.07: Decimal Digit Analysis

Q: What exactly am I supposed to count in a decimal number?

You're counting how many times the digit '1' appears in any position. Look at each individual symbol: in $0.07$, you see the digits 0, 0, and 7 - none of these is the digit 1.

Q: Does the decimal point affect digit counting?

No! The decimal point is just punctuation. Count digits on both sides of the decimal point. In 0.07, examine the 0 before the decimal and the 0 and 7 after it.

Q: What if a number has multiple 1's like 1.11?

Count each occurrence separately! In 1.11, there are three 1's: one in the ones place, one in the tenths place, and one in the hundredths place.

Q: Why isn't 7 considered a 1 in this problem?

Because 7 and 1 are different digits! We're looking for the exact digit '1', not numbers that contain or relate to 1. Only count when you see the actual symbol '1'.

Q: How do I avoid missing digits when counting?

Go position by position from left to right. For 0.07: ones place (0), tenths place (0), hundredths place (7). Write down what you find in each spot!

Digit Counting with Decimal Numbers

Determine the number of ones in the following number:

0.07

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Step-by-step video solution

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00:00 Find the number of units

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

00:05 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:

0.07

Step-by-step solution

To solve this problem, we'll examine the given decimal number, $0.07$ , to identify how many '1's it contains.

Let's break down the number $0.07$ :

The digit to the left of the decimal is $0$ , which is the ones place. It is not '1'.
The first digit after the decimal point is $0$ , which represents tenths. This is also not '1'.
The next digit is $7$ , which represents hundredths. This digit is also not '1'.

None of the digits in the number $0.07$ are equal to '1'.

Therefore, the number of ones in $0.07$ is 0.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Count each digit position separately in decimal numbers
Technique: Examine each digit in $0.07$ : 0, 0, 7 (none are 1)
Check: Go through each position systematically: ones, tenths, hundredths ✓

Common Mistakes

Avoid these frequent errors

Confusing digit counting with place value interpretation
Don't interpret 0.07 as "seven hundredths" and count the 7 = wrong focus on value instead of digits! This confuses what the number represents with counting specific digits. Always examine each individual digit symbol, not the number's meaning.

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

What exactly am I supposed to count in a decimal number?

You're counting how many times the digit '1' appears in any position. Look at each individual symbol: in $0.07$ , you see the digits 0, 0, and 7 - none of these is the digit 1.

Does the decimal point affect digit counting?

No! The decimal point is just punctuation. Count digits on both sides of the decimal point. In 0.07, examine the 0 before the decimal and the 0 and 7 after it.

What if a number has multiple 1's like 1.11?

Count each occurrence separately! In 1.11, there are three 1's: one in the ones place, one in the tenths place, and one in the hundredths place.

Why isn't 7 considered a 1 in this problem?

Because 7 and 1 are different digits! We're looking for the exact digit '1', not numbers that contain or relate to 1. Only count when you see the actual symbol '1'.

How do I avoid missing digits when counting?

Go position by position from left to right. For 0.07: ones place (0), tenths place (0), hundredths place (7). Write down what you find in each spot!

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