8 hundreds
Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100
Hundred-Groups = 800
3 tens
Ten-Groups = 10 + 10 + 10
Ten-Groups = 30
9 ones
839 = 800 Hundreds + 30 Tens + 9 ones
839 = 800 + 30 + 9
Show numerical properties of 839
839
eight hundred thirty nine
Decompose 839
Each digit in the whole number represents a power of 10:
Take the whole number portion on the left side of the decimal
Expanded Notation of 839 = (8 x 102) + (3 x 101) + (9 x 100)
Expanded Notation of 839 = (8 x 100) + (3 x 10) + (9 x 1)
839 = 800 + 30 + 9
839 = 839 <---- Correct!
Make blocks of 5
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Define an ordinal number
A position in a list
839th
Calculate the digit sum of 839
Calculate the reduced digit sum of 839
Digit Sum → 8 + 3 + 9 = 20
Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 20
Digit Sum → 2 + 0 = 2
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 2 + 0 = 2
Calculate the digit product of 839
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 3 digits of 839 together
Digit product of 839 = 8 * 3 * 9
Digit product of 839 = 216
Opposite of 839 = -(839)
Opposite of = -839
Place value describes each digit
8 is our hundreds digit
This means we have 8 sets of hundreds
3 is our tens digit
This means we have 3 sets of tens
9 is our ones digit
This means we have 9 sets of ones
8 is our hundreds digit
3 is our tens digit
9 is our ones digit
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Ln(839) = loge(839) = 6.7322107064672
Is 839 divisible by:
2,3,4,5,6,7,8,9,10,11
Last digit ends in 0,2,4,6,8
The last digit of 839 is 9
Since 9 is not equal to 0,2,4,6,8:
then 839 is not divisible by 2
Sum of the digits is divisible by 3
The sum of the digits for 839 is 8 + 3 + 9 = 20
Since 20 is not divisible by 3:
Then 839 is not divisible by 3
Take the last two digits
Are they divisible by 4?
The last 2 digits of 839 are 39
Since 39 is not divisible by 4:
Then 839 is not divisible by 4
Number ends with a 0 or 5
The last digit of 839 is 9
Since 9 is not equal to 0 or 5:
Then 839 is not divisible by 5
Divisible by both 2 and 3
Since 839 is not divisible by 2 and 3:
Then 839 is not divisible by 6
Multiply each respective digit by 1,3,2,6,4,5
Work backwards
Repeat as necessary
9(1) + 3(3) + 8(2) = 35
Since 35 is divisible by 7:
Then 839 is divisible by 7
Take the last three digits
Are they divisible by 8
The last 3 digits of 839 are 839
Since 839 is not divisible by 8:
Then 839 is not divisible by 8
Sum of digits divisible by 9
The sum of the digits for 839 is 8 + 3 + 9 = 20
Since 20 is not divisible by 9:
Then 839 is not divisible by 9
Ends with a 0
The last digit of 839 is 9
Since 9 is not equal to 0:
Then 839 is not divisible by 10
Σ odd digits - Σ even digits = 0
or 839 is a multiple of 11
839
8 + 9
Odd Sum = 17
839
3
Even Sum = 3
Δ = Odd Sum - Even Sum
Δ = 17 - 3
Δ = 14
Because Δ / 11 = 76.272727272727:
Then 839 is NOT divisible by 11
839 is divisible by
(7)