7 hundreds
Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100
Hundred-Groups = 700
0 tens
Ten-Groups =
Ten-Groups = 0
6 ones
706 = 700 Hundreds + 0 Tens + 6 ones
706 = 700 + 0 + 6
Show numerical properties of 706
706
seven hundred six
Decompose 706
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 706 = (7 x 102) + (0 x 101) + (6 x 100)
Expanded Notation of 706 = (7 x 100) + (0 x 10) + (6 x 1)
706 = 700 + 0 + 6
706 = 706 <---- Correct!
Make blocks of 5
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Define an ordinal number
A position in a list
706th
Calculate the digit sum of 706
Calculate the reduced digit sum of 706
Digit Sum → 7 + 0 + 6 = 13
Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 13
Digit Sum → 1 + 3 = 4
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 1 + 3 = 4
Calculate the digit product of 706
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 3 digits of 706 together
Digit product of 706 = 7 * 0 * 6
Digit product of 706 = 0
Opposite of 706 = -(706)
Opposite of = -706
Place value describes each digit
7 is our hundreds digit
This means we have 7 sets of hundreds
0 is our tens digit
This means we have 0 sets of tens
6 is our ones digit
This means we have 6 sets of ones
7 is our hundreds digit
0 is our tens digit
6 is our ones digit
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Ln(706) = loge(706) = 6.5596152374932
Is 706 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 706 is 6
Since 6 is equal to 0,2,4,6,8:
then 706 is divisible by 2
Sum of the digits is divisible by 3
The sum of the digits for 706 is 7 + 0 + 6 = 13
Since 13 is not divisible by 3:
Then 706 is not divisible by 3
Take the last two digits
Are they divisible by 4?
The last 2 digits of 706 are 06
Since 06 is not divisible by 4:
Then 706 is not divisible by 4
Number ends with a 0 or 5
The last digit of 706 is 6
Since 6 is not equal to 0 or 5:
Then 706 is not divisible by 5
Divisible by both 2 and 3
Since 706 is not divisible by 2 and 3:
Then 706 is not divisible by 6
Multiply each respective digit by 1,3,2,6,4,5
Work backwards
Repeat as necessary
6(1) + 0(3) + 7(2) = 21
Since 21 is divisible by 7:
Then 706 is divisible by 7
Take the last three digits
Are they divisible by 8
The last 3 digits of 706 are 706
Since 706 is not divisible by 8:
Then 706 is not divisible by 8
Sum of digits divisible by 9
The sum of the digits for 706 is 7 + 0 + 6 = 13
Since 13 is not divisible by 9:
Then 706 is not divisible by 9
Ends with a 0
The last digit of 706 is 6
Since 6 is not equal to 0:
Then 706 is not divisible by 10
Σ odd digits - Σ even digits = 0
or 706 is a multiple of 11
706
7 + 6
Odd Sum = 13
706
0
Even Sum = 0
Δ = Odd Sum - Even Sum
Δ = 13 - 0
Δ = 13
Because Δ / 11 = 64.181818181818:
Then 706 is NOT divisible by 11
706 is divisible by
(2,7)