Count the number of tens:
0 tens
Add up Ten-Groups
Ten-Groups =
Ten-Groups = 0
Count the number of ones:
3 ones
Add this to the ones for our total:
3 = 0 Hundreds + 0 Tens + 3 ones
3 = 0 + 0 + 3
Show numerical properties of 3
3
Draw this point on a number line:
Word Notation for 3
three
Write the number 3 in expanded notation form:
Decompose 3
Express in powers of 10
Each digit in the whole number represents a power of 10:
Take the whole number portion on the left side of the decimal
Build Expanded Notation with powers of 10
Expanded Notation of 3 = (3 x 100)
Expanded Notation of 3 = (3 x 1)
Prove this is the correct notation:
3 = 3
3 = 3 <---- Correct!
Tally Marks for 3
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
0 block of 5 and 3 left over
3 = | | |
Tallies for 3
| | |
Ordinal for 3
Define an ordinal number
A position in a list
3rd
Digit and Reduced Digit Sum for 3
Calculate the digit sum of 3
Calculate the reduced digit sum of 3
Add up 1 digits of 3:
Digit Sum → 3 = 3
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 3 = 3
Digit Product for 3:
Calculate the digit product of 3
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 1 digits of 3 together
Digit product of 3 = 3
Digit product of 3 = 3
Opposite of 3
Opposite of 3 = -(3)
Opposite of = -3
Place Value for 3
Place value describes each digit
Whole Number Position 1: 3
3 is our ones digit
This means we have 3 sets of ones
3 is our ones digit
Natural Logarithm of 3
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 3
Ln(3) = loge(3) = 1.0986122886681
Is 3 divisible by:
2,3,4,5,6,7,8,9,10,11
Divisibililty Check for 2
Last digit ends in 0,2,4,6,8
The last digit of 3 is 3
Since 3 is not equal to 0,2,4,6,8:
then 3 is not divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 3 is 3 = 3
Since 3 is divisible by 3:
Then 3 is divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last digit of 3 is 3
Since 3 is not divisible by 4:
Then 3 is not divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 3 is 3
Since 3 is not equal to 0 or 5:
Then 3 is not divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 3 is not divisible by 2 and 3:
Then 3 is not divisible by 6
Divisibililty Check for 7
Multiply each respective digit by 1,3,2,6,4,5
Work backwards
Repeat as necessary
3(1) = 4
Since 4 is not divisible by 7:
Then 3 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last digit of 3 is 3
Since 3 is not divisible by 8:
Then 3 is not divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 3 is 3 = 3
Since 3 is not divisible by 9:
Then 3 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 3 is 3
Since 3 is not equal to 0:
Then 3 is not divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 3 is a multiple of 11
Sum the odd digits:
3
3
Odd Sum = 3
Sum the even digits:
3
Even Sum = 0
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 3 - 0
Δ = 3
Divisibility Check:
Because Δ / 11 = 0.27272727272727:
Then 3 is NOT divisible by 11
Divisibility Final Answer
3 is divisible by
(3)
Final Answer
Ln(3) = loge(3) = 1.0986122886681
3 is divisible by
(3)
