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

Which figure represents 0.1?

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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