Decimal Place Analysis: Finding Matching Digits in Thousandths, Hundredths, and Tenths

Q: How do I remember which position is which in a decimal number?

Think of the decimal point as the center! Moving left: ones, tens, hundreds. Moving right: tenths, hundredths, thousandths. The pattern mirrors on both sides.

Q: What if a number doesn't have all the decimal places mentioned?

If a decimal place is missing, it's considered to be zero. For example, 123.12 has a thousandths digit of 0, not 2.

Q: Do I need to find a number that satisfies just one condition or all conditions?

You need to find a number that satisfies all three conditions simultaneously. The word 'and' in the problem means every condition must be true.

Q: Why is 123.213 wrong if it satisfies conditions (a) and (b)?

Even though 123.213 satisfies conditions (a) and (b), it fails condition (c) because hundreds=1 but tenths=2. All conditions must be met!

Q: How can I avoid mixing up the place values?

Write out each number with labels above each digit. For 123.456: label H-T-O.t-h-th (hundreds-tens-ones.tenths-hundredths-thousandths).

Q: Is there a pattern in the correct answer 123.123?

Yes! The correct answer 123.123 is a palindrome-like pattern where the decimal part mirrors the whole number part, making all conditions automatically satisfied.

Place Value Identification with Multi-Digit Matching

Identify which of the following numbers has

a) identical thousandths and ones digits

b) identical tens and hundredths digits

c)identical hundreds and tenths digits

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the matching number

00:03 First, let's look at all the given options

00:31 Find the positions of all the digits

00:38 Mark the equal digits according to the given data

00:57 Let's go through the numbers and see which ones match

01:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Identify which of the following numbers has

a) identical thousandths and ones digits

b) identical tens and hundredths digits

c)identical hundreds and tenths digits

Step-by-step solution

To solve this problem, we need to analyze each provided number according to the specified criteria.

Let's examine each number from the choices:

Choice 1: 123.123
- a) Thousandths = 3, Ones = 3. They are identical.
- b) Tens = 2, Hundredths = 2. They are identical.
- c) Hundreds = 1, Tenths = 1. They are identical.
Choice 2: 123.321
- a) Thousandths = 1, Ones = 3. Not identical.
Choice 3: 123.312
- a) Thousandths = 2, Ones = 3. Not identical.
Choice 4: 123.213
- a) Thousandths = 3, Ones = 3. They are identical.
- b) Tens = 1, Hundredths = 1. They are identical.
- c) Hundreds = 1, Tenths = 2. Not identical.

Based on this analysis, the only number that satisfies all three conditions is 123.123.

Therefore, the solution to the problem is 123.123.

Final Answer

123.123

Key Points to Remember

Essential concepts to master this topic

Place Value: Each digit position has a specific name and value
Technique: Compare 123.123: thousands=3, ones=3, both match perfectly
Check: Verify all three conditions must be true simultaneously ✓

Common Mistakes

Avoid these frequent errors

Confusing place value positions or only checking one condition
Don't check just condition (a) and stop = incomplete analysis! This misses that ALL three conditions must be satisfied together. Always verify every single condition (a), (b), and (c) for each number choice.

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

How do I remember which position is which in a decimal number?

Think of the decimal point as the center! Moving left: ones, tens, hundreds. Moving right: tenths, hundredths, thousandths. The pattern mirrors on both sides.

What if a number doesn't have all the decimal places mentioned?

If a decimal place is missing, it's considered to be zero. For example, 123.12 has a thousandths digit of 0, not 2.

Do I need to find a number that satisfies just one condition or all conditions?

You need to find a number that satisfies all three conditions simultaneously. The word 'and' in the problem means every condition must be true.

Why is 123.213 wrong if it satisfies conditions (a) and (b)?

Even though 123.213 satisfies conditions (a) and (b), it fails condition (c) because hundreds=1 but tenths=2. All conditions must be met!

How can I avoid mixing up the place values?

Write out each number with labels above each digit. For 123.456: label H-T-O.t-h-th (hundreds-tens-ones.tenths-hundredths-thousandths).

Is there a pattern in the correct answer 123.123?

Yes! The correct answer 123.123 is a palindrome-like pattern where the decimal part mirrors the whole number part, making all conditions automatically satisfied.

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