Convert Mixed Numbers to Decimals: Reading a Place Value Chart

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

100010010153

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Step-by-step video solution

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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

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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

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