Place Value Chart: Converting 11.504 Using Decimal Positions

Place Value Understanding with Decimal Notation

Write the number shown in the chart below:

Tenths41HundredthThousandthsOnesTensHundredsFractionsWhole Numbers15

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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:

Tenths41HundredthThousandthsOnesTensHundredsFractionsWhole Numbers15

2

Step-by-step solution

To solve this problem, we need to write the number shown by the digits in the chart corresponding to their specific place values:

  • The digits under 'Whole Numbers' are 11 in the 'Tens' place and 11 in the 'Ones' place.
  • The digits under 'Fractions' are 55 in the 'Tenths' place, 00 in the 'Hundredths' place (implicitly 0 as space is empty in chart), and 44 in the 'Thousandths' place.

Let's combine these:

The whole number part is 1111 (formed by 1×10+1×11 \times 10 + 1 \times 1).

The decimal fraction part is 0.5040.504 (formed by 5×0.1+0×0.01+4×0.0015 \times 0.1 + 0 \times 0.01 + 4 \times 0.001).

Thus, concatenating the whole number part and the decimal fraction part yields:

11.504

3

Final Answer

11.504

Key Points to Remember

Essential concepts to master this topic
  • Place Values: Each column represents a specific power of ten
  • Reading Method: Start from left: tens(1) + ones(1) + tenths(5) + thousandths(4)
  • Verification: Count decimal places: 11.504 has exactly 3 decimal places ✓

Common Mistakes

Avoid these frequent errors
  • Missing the zero in hundredths place
    Don't write 11.54 when the hundredths column is empty = wrong decimal value! An empty hundredths place still counts as zero. Always include all place values: 11.504 includes the implicit zero.

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 if there's nothing written in a column?

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An empty column means zero! In this chart, the hundredths place is empty, so it's 0. Don't skip it - include it as 11.504, not 11.54.

How do I know where to put the decimal point?

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The decimal point goes between the whole numbers and fractions sections. Everything left of the decimal is whole, everything right is fractional parts.

Why is it 11.504 and not 1.1504?

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Look at the place values! The first 1 is in the tens place (worth 10), and the second 1 is in the ones place (worth 1). So: 10 + 1 = 11.

What's the difference between tenths, hundredths, and thousandths?

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  • Tenths: First decimal place (0.1)
  • Hundredths: Second decimal place (0.01)
  • Thousandths: Third decimal place (0.001)

Can I write this number differently?

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You could write it as 115041000 11\frac{504}{1000} as a mixed number, but 11.504 in decimal form is the standard and clearest way.

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