Decimal Place Value Chart: Representing 850.07 Correctly

Decimal Place Value with Multi-Digit Numbers

Identify which decimal place value chart represents the number 850.07?

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Step-by-step video solution

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00:06 Let's break it down using a decimal structure table.
00:11 For this number, place each digit in the right position. Take your time.
00:28 And there you have it! That's how we solve this question.

Step-by-step written solution

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1

Understand the problem

Identify which decimal place value chart represents the number 850.07?

2

Step-by-step solution

To solve the problem of identifying which chart corresponds to the number 850.07850.07, we need to break down the number into its place values:

  • The digit 88 is placed in the hundreds column, representing 800800.
  • The digit 55 is in the tens column, representing 5050.
  • The digit 00 is in the ones column, contributing 00 to the total.
  • To the right of the decimal point, the digit 00 is in the tenths place, contributing 0.00.0.
  • The digit 77 is in the hundredths position, contributing 0.070.07.

Thus, the number 850.07850.07 is represented correctly the following way in place value:

  • Hundreds: 88
  • Tens: 55
  • Units: 00
  • Decimal part: Hundredths 77

From the given choices of place value charts, the correct chart will display the following configuration:

  • The '100' column showing 88
  • The '10' column showing 55
  • The '1' column showing 00
  • The '0.01' column showing 77

Upon comparing all available options, the correct chart is Option 2.

Therefore, the correct decimal place value chart that represents the number 850.07850.07 is: Option 2.

3

Final Answer

1000100101578

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each digit's value depends on its position in the number
  • Reading Method: Break down 850.07 as 8 hundreds + 5 tens + 0 ones + 0.07
  • Chart Check: Verify each digit matches its column: 8 in hundreds, 7 in hundredths ✓

Common Mistakes

Avoid these frequent errors
  • Confusing decimal places with whole number places
    Don't put the 7 from 850.07 in the tenths column instead of hundredths = wrong representation! The second digit after the decimal is always hundredths, not tenths. Always count decimal places from left to right after the decimal point.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

How do I know which column each digit goes in?

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Start from the decimal point and work outward! To the left: ones, tens, hundreds, thousands. To the right: tenths, hundredths, thousandths.

What if there's a zero in the number like 850.07?

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Zeros are important placeholders! The 0 in 850.07 shows there are no ones, and the 0 after the decimal shows no tenths. Every digit has a job, even zeros!

Why does the 7 go in hundredths and not tenths?

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Count the decimal places! The first spot after the decimal is tenths, the second spot is hundredths. Since 7 is in the second position after the decimal in 850.07, it goes in hundredths.

How can I remember the decimal place names?

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Use this pattern: whole number places end in 's' (ones, tens, hundreds), while decimal places end in 'ths' (tenths, hundredths, thousandths). The 'th' reminds you it's a part of a whole!

What's the difference between 850.07 and 850.70?

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Big difference! 850.07=850+0.07 850.07 = 850 + 0.07 while 850.70=850+0.70 850.70 = 850 + 0.70 . The position of digits after the decimal point completely changes the value.

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