Decimal Number 30.102: Identifying the Correct Chart Representation

Place Value Charts with Multi-Decimal Positions

Identify which chart represents the number 30.102

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Step-by-step written solution

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1

Understand the problem

Identify which chart represents the number 30.102

2

Step-by-step solution

To solve this problem, we need to break down 30.102 30.102 into its corresponding decimal components and compare it to the available chart options.

The number 30.102 30.102 can be broken down as follows:

  • 3 3 tens
  • 0 0 units
  • 1 1 tenth
  • 0 0 hundredths
  • 2 2 thousandths

From this breakdown:

  • The tens place has the digit 3 3 .
  • The units place has the digit 0 0 .
  • The tenths place has the digit 1 1 .
  • The hundredths place has the digit 0 0 .
  • The thousandths place has the digit 2 2 .

Now, we will match these values against the choices provided in the Hebrew-labeled charts.

In choice 1, under

מספרים שלמים (whole numbers), the chart shows:
  • 33 in the tens column, matching our place for tens
  • 00 in the units column, matching our place for units

Under

שברים (fractions), the chart shows:
  • 11 in the tenths column, matching our decimal for tenths
  • 00 in the hundredths column, matching our decimal for hundredths
  • 22 in the thousandths column, matching our decimal for thousandths

This choice accurately represents the number 30.102 30.102 . Therefore, the correct choice is choice 1.

Therefore, the correct chart representing the number 30.10230.102 is the one under choice 1.

3

Final Answer

Tenths123HundredthsThousandthsUnitsTensHundredsFractionsWhole Numbers

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Each digit's position determines its value in the number
  • Technique: Break 30.102 into 3 tens, 0 units, 1 tenth, 0 hundredths, 2 thousandths
  • Check: Verify each digit matches its correct column position on the chart ✓

Common Mistakes

Avoid these frequent errors
  • Misreading decimal place positions
    Don't confuse tenths with tens or mix up the order of decimal places = completely wrong chart selection! The decimal point separates whole numbers from fractions, and each position to the right gets smaller. Always count positions carefully from 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 remember the order of decimal places?

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Think of it as getting smaller by 10 each time you move right from the decimal point: tenths (1/10), hundredths (1/100), thousandths (1/1000). The names tell you the denominators!

What's the difference between tens and tenths?

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Tens are to the LEFT of the decimal point (whole numbers), while tenths are to the RIGHT of the decimal point (fractions). The decimal point is your guide!

Why does 30.102 have a 0 in the units place?

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The 0 shows there are zero units in this number. Even though it's zero, it's important because it holds the place and shows the number is thirty and something, not three hundred and something.

How do I know which chart is correct?

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Match each digit to its position: 3 in tens, 0 in units, 1 in tenths, 0 in hundredths, 2 in thousandths. All five positions must match exactly!

Can I ignore the zeros in decimal numbers?

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Never ignore zeros! They are placeholders that show exactly where each non-zero digit belongs. Without them, 30.102 30.102 might be confused with 3.12 3.12 or other numbers.

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