Count the number of tens:
4 tens
Add up Ten-Groups
Ten-Groups = 10 + 10 + 10 + 10
Ten-Groups = 40
Count the number of ones:
7 ones
Add this to the ones for our total:
47 = 0 Hundreds + 40 Tens + 7 ones
47 = 0 + 40 + 7
Show numerical properties of 47
47
Draw this point on a number line:
Word Notation for 47
forty seven
Write the number 47 in expanded notation form:
Decompose 47
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 47 = (4 x 101) + (7 x 100)
Expanded Notation of 47 = (4 x 10) + (7 x 1)
Prove this is the correct notation:
47 = 40 + 7
47 = 47 <---- Correct!
Tally Marks for 47
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
9 blocks of 5 and 2 left over
5 = | | | |
10 = | | | |
15 = | | | |
20 = | | | |
25 = | | | |
30 = | | | |
35 = | | | |
40 = | | | |
45 = | | | |
47 = | |
Tallies for 47
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Ordinal for 47
Define an ordinal number
A position in a list
47th
Digit and Reduced Digit Sum for 47
Calculate the digit sum of 47
Calculate the reduced digit sum of 47
Add up 2 digits of 47:
Digit Sum → 4 + 7 = 11
Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 11
Add up 2 digits of 11:
Digit Sum → 1 + 1 = 2
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 1 + 1 = 2
Digit Product for 47:
Calculate the digit product of 47
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 2 digits of 47 together
Digit product of 47 = 4 * 7
Digit product of 47 = 28
Opposite of 47
Opposite of 47 = -(47)
Opposite of = -47
Place Value for 47
Place value describes each digit
Whole Number Position 2: 47
4 is our tens digit
This means we have 4 sets of tens
Whole Number Position 1: 47
7 is our ones digit
This means we have 7 sets of ones
4 is our tens digit
7 is our ones digit
Natural Logarithm of 47
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 47
Ln(47) = loge(47) = 3.8501476017101
Is 47 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 47 is 7
Since 7 is not equal to 0,2,4,6,8:
then 47 is not divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 47 is 4 + 7 = 11
Since 11 is not divisible by 3:
Then 47 is not divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 47 are 47
Since 47 is not divisible by 4:
Then 47 is not divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 47 is 7
Since 7 is not equal to 0 or 5:
Then 47 is not divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 47 is not divisible by 2 and 3:
Then 47 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
7(1) + 4(3) = 20
Since 20 is not divisible by 7:
Then 47 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 2 digits of 47 are 47
Since 47 is not divisible by 8:
Then 47 is not divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 47 is 4 + 7 = 11
Since 11 is not divisible by 9:
Then 47 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 47 is 7
Since 7 is not equal to 0:
Then 47 is not divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 47 is a multiple of 11
Sum the odd digits:
47
4
Odd Sum = 4
Sum the even digits:
47
7
Even Sum = 7
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 4 - 7
Δ = -3
Divisibility Check:
Because Δ / 11 = 4.2727272727273:
Then 47 is NOT divisible by 11
Final Answer
7 is our ones digit
Ln(47) = loge(47) = 3.8501476017101
