Convert Mixed Numbers to Decimals: Reading a Place Value Chart

Place Value Reading with Decimal Positions

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

100010010153

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the number
00:03 In empty places put 0
00:17 After 1 place the decimal point
00:22 Build the number
00:26 And this is the solution to the question

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:

100010010153

2

Step-by-step solution

To solve the problem, we must correctly interpret the chart and combine the digits into a complete decimal number based on their place values:

  • The number in the thousands place is 3, so it represents 3×1000=3000 3 \times 1000 = 3000 .
  • There are no numbers explicitly shown in the hundreds, tens, and ones places, which are assumed as zeros, hence their contribution is zero.
  • The digit after the decimal has a five in the hundredths place. Therefore, it represents 5×0.01=0.05 5 \times 0.01 = 0.05 .

To obtain the final number, we sum the contributions of each place value:

  • The overall contribution from the thousands place is 3000.
  • The decimal portion contributed by the hundredths place is 0.05.

Adding these up gives:

3000+0.05=3000.05 3000 + 0.05 = 3000.05

Thus, the number represented by the chart in decimal form is 3000.05 \textbf{3000.05} .

3

Final Answer

3000.05

Key Points to Remember

Essential concepts to master this topic
  • Rule: Each column represents a specific place value position
  • Technique: Thousands (3) + hundredths (5) = 3000 + 0.05
  • Check: Count decimal places: 5 in hundredths means 0.05 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring empty place values as zeros
    Don't skip the hundreds, tens, and ones places just because they're empty = wrong decimal placement! Empty places still count as zeros and affect the final number. Always include zeros for all empty place values between filled positions.

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 do I do with the empty columns in the chart?

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Empty columns represent zero in those place values. Even though nothing is written there, you must count them as zeros when building your final number.

How do I know where to put the decimal point?

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The decimal point goes between the ones place and the tenths place. In this chart, it separates the whole number part (3000) from the decimal part (0.05).

Why is the answer 3000.05 and not 3.005?

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Because the 3 is in the thousands place (worth 3000), not the ones place! The 5 is in the hundredths place (worth 0.05). Always check which column each digit appears in.

What's the difference between tenths and hundredths?

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Tenths is the first place after the decimal (0.1), and hundredths is the second place after the decimal (0.01). In this problem, the 5 is in the hundredths position.

How do I read place value charts without getting confused?

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  • Start from the left and work right
  • Say each digit with its place value: "3 thousands, 0 hundreds..."
  • Remember: decimal point separates whole numbers from parts

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