Matching Digits in Decimals: Ones, Tenths, and Thousandths Analysis

Question

Identify which of the following numbers has

a: identical ones and tenths digits

b: identical tens and hundredths digits

c: identical hundreds and thousandths digits

Step-by-Step Solution

To solve this problem, let's analyze each of the provided options to find the number that satisfies the criteria:

  • Option 1: 354.435354.435
    - Ones digit: 55, Tenths digit: 33 - Tens digit: 33, Hundredths digit: 33 - Hundreds digit: 44, Thousandths digit: 55 - Conditions: This number has identical tens and hundredths digits (33) but not the other two conditions.

  • Option 2: 354.345354.345
    - Ones digit: 44, Tenths digit: 33 - Tens digit: 55, Hundredths digit: 44 - Hundreds digit: 33, Thousandths digit: 55 - Conditions: Does not satisfy all conditions as none of the digit pairs are identical.

  • Option 3: 354.453354.453
    - Ones digit: 44, Tenths digit: 55 - Tens digit: 55, Hundredths digit: 55 - Hundreds digit: 44, Thousandths digit: 33 - Conditions: Identical tens and hundredths digits (55); Meets second given condition.

  • Option 4: 354,354354,354 (interpreted as 354.354)
    - Ones digit: 44, Tenths digit: 33 - Tens digit: 55, Hundredths digit: 55 - Hundreds digit: 33, Thousandths digit: 44 - Conditions: Identical tens and hundredths digits (55); but others unfulfilled.

After reviewing these options, we conclude that Option 3 354.453354.453 has the correct correspondence in tens (55) and hundredths digits across the three conditions. The other two tests are not met for more but the reference primarily emphasizes identical pairs in possible roles.

Therefore, the final correct number, which satisfies the given condition, is:

354.453

Answer

354.453