The numbers in standard form and their respective thousands place values are: (A) 8,000, (B) 9,000, (C) 4,000, (D) 0, and (E) 5,000. The greatest 6-digit number from the digits 2, 4, 6, 8, 5, and 3 is 864532, while the smallest is 234568.
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Let's break down the question into two parts:
Part 1: Standard Form, Face Value, and Value of the Digit in the Thousands Place
A. 468,991
Standard Form: 468,991
Face Value of '8' in Thousands Place: 8
Value of '8' in Thousands Place: 8 × 1000 = 8000
B. 979,543
Standard Form: 979,543
Face Value of '9' in Thousands Place: 9
Value of '9' in Thousands Place: 9 × 1000 = 9000
C. 64,835
Standard Form: 64,835
Face Value of '4' in Thousands Place: 4
Value of '4' in Thousands Place: 4 × 1000 = 4000
D. 90,374
Standard Form: 90,374
Face Value of '0' in Thousands Place: 0
Value of '0' in Thousands Place: 0 × 1000 = 0
E. 985,105
Standard Form: 985,105
Face Value of '5' in Thousands Place: 5
Value of '5' in Thousands Place: 5 × 1000 = 5000
Part 2: Greatest and Smallest 6-digit Numbers Using Given Digits
Greatest 6-digit Number:
Arrange the digits 2, 4, 6, 8, 5, and 3 in descending order: 8, 6, 5, 4, 3, 2
Greatest number: 865,432
Smallest 6-digit Number:
Arrange the digits in ascending order: 2, 3, 4, 5, 6, 8
Smallest number: 234,568
This explanation helps in understanding how to identify and calculate the face value and the value of a digit in a given position and also how to arrange numbers to find the greatest and smallest possible configurations using specific digits.