Converting Place Value Chart to Decimal: Reading 3.3

Place Value Reading with Decimal Positions

Write the number shown in the chart below as a decimal:

100010010133

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the number shown in the chart below as a decimal:

100010010133

2

Step-by-step solution

To solve this problem, we follow these steps:

  • Identify the number and its position from the given chart.
  • In the 'ones' place, there is a '3'.
  • In the 'tenths' place, we also have a '3'.
  • Combine these digits respecting their place values to form a decimal.

Now, assembling this using place values:
- The '3' in the 'ones' place contributes a value of 33.
- The '3' in the 'tenths' place contributes a value of 0.30.3.

To create the complete number, add these place values:

3+0.3=3.33 + 0.3 = 3.3

Therefore, the solution to the problem, written as a decimal, is 3.33.3.

3

Final Answer

3.3

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each position represents a power of ten
  • Reading Technique: Ones place = 3, tenths place = 3, combined = 3.33.3
  • Check: Verify by adding place values: 3+0.3=3.33 + 0.3 = 3.3

Common Mistakes

Avoid these frequent errors
  • Reading decimal places as whole numbers
    Don't read the tenths place '3' as another ones digit = 3333! This ignores the decimal point position and creates a much larger number. Always identify which side of the decimal point each digit belongs to before reading.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

How do I know where the decimal point goes?

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The decimal point always comes after the ones place. In place value charts, look for the vertical line or separation between whole numbers (left) and decimal places (right).

What's the difference between ones and tenths place?

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The ones place is directly left of the decimal point (worth full units), while the tenths place is directly right of the decimal point (worth 110\frac{1}{10} of a unit).

Why isn't the answer 33 or 0.33?

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Look at the chart carefully! The '3' is in the ones place (not thousands), and the other '3' is in tenths (not hundredths). This gives us 3.33.3, not 3333 or 0.330.33.

How do I read empty places in the chart?

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Empty places have a value of zero. If there's nothing shown in a place value position, that digit is 0. Only count the digits that are actually written in the chart.

Can I double-check my decimal reading?

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Yes! Add up the place values separately: 3 ones+3 tenths=3+0.3=3.33 \text{ ones} + 3 \text{ tenths} = 3 + 0.3 = 3.3. This confirms your decimal reading is correct.

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