Find Thousandths in 1.123: Decimal Place Value Analysis

Decimal Place Value with Thousandths Position

Determine the number of thousandths in the following number:

1.123

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Step-by-step video solution

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00:00 Find the number of thousandths
00:02 The number of thousandths equals the third digit after the decimal point
00:04 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Determine the number of thousandths in the following number:

1.123

2

Step-by-step solution

To solve this problem, we need to recognize the place value of the digits in the number 1.123.

In a decimal number, the positions to the right of the decimal point have specific place names:

  • The first position is the tenths place.
  • The second position is the hundredths place.
  • The third position is the thousandths place.

Let's apply this understanding to the given number:

The number 1.123 can be broken down as:

  • 11 is the whole number,
  • 0.10.1 represents the tenths position,
  • 0.020.02 represents the hundredths position,
  • 0.0030.003 represents the thousandths position.

This means that the third digit after the decimal, which is 3, represents the number of thousandths.

Therefore, in the number 1.123, there are 3 thousandths.

Thus, the correct answer is: 3.

This is represented by choice id "4".

3

Final Answer

3

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Third decimal place represents thousandths position always
  • Reading Method: In 1.123, digit 3 occupies the thousandths place
  • Verification: Count decimal places: 1st=tenths, 2nd=hundredths, 3rd=thousandths ✓

Common Mistakes

Avoid these frequent errors
  • Counting total digits instead of place position
    Don't count all digits after decimal (1, 2, 3) and say '3 thousandths total' = wrong interpretation! This confuses quantity with place value. Always identify which digit sits in the thousandths position specifically.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

What's the difference between 'thousandths' and 'thousands'?

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Thousandths are decimal places (0.001), while thousands are whole number places (1,000). They're completely different! Thousandths get smaller as you move right of the decimal.

How do I remember the order of decimal places?

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Use this pattern: tenths, hundredths, thousandths. Notice they all end in 'ths' and get smaller by factors of 10: 0.10.010.001 0.1 → 0.01 → 0.001

What if there are more digits after the thousandths place?

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The places continue: ten-thousandths, hundred-thousandths, etc. But you still only look at the third decimal place to find thousandths, regardless of what comes after.

Is 1.123 the same as saying 1123 thousandths?

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No! 1.123=1123 1.123 = 1123 thousandths total, but the question asks for the digit in thousandths place, which is just 3.

What if the number has zeros in decimal places?

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Zeros still count as placeholders! In 1.102 1.102 , there are 2 thousandths (the digit 2 is in third decimal place), even though hundredths is 0.

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