Count the number of tens:
7 tens
Add up Ten-Groups
Ten-Groups = 10 + 10 + 10 + 10 + 10 + 10 + 10
Ten-Groups = 70
Count the number of ones:
9 ones
Add this to the ones for our total:
79 = 0 Hundreds + 70 Tens + 9 ones
79 = 0 + 70 + 9
Show numerical properties of 79
79
Draw this point on a number line:
Word Notation for 79
seventy nine
Write the number 79 in expanded notation form:
Decompose 79
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 79 = (7 x 101) + (9 x 100)
Expanded Notation of 79 = (7 x 10) + (9 x 1)
Prove this is the correct notation:
79 = 70 + 9
79 = 79 <---- Correct!
Tally Marks for 79
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
15 blocks of 5 and 4 left over
5 = | | | |
10 = | | | |
15 = | | | |
20 = | | | |
25 = | | | |
30 = | | | |
35 = | | | |
40 = | | | |
45 = | | | |
50 = | | | |
55 = | | | |
60 = | | | |
65 = | | | |
70 = | | | |
75 = | | | |
79 = | | | |
Tallies for 79
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Ordinal for 79
Define an ordinal number
A position in a list
79th
Digit and Reduced Digit Sum for 79
Calculate the digit sum of 79
Calculate the reduced digit sum of 79
Add up 2 digits of 79:
Digit Sum → 7 + 9 = 16
Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 16
Add up 2 digits of 16:
Digit Sum → 1 + 6 = 7
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 1 + 6 = 7
Digit Product for 79:
Calculate the digit product of 79
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 2 digits of 79 together
Digit product of 79 = 7 * 9
Digit product of 79 = 63
Opposite of 79
Opposite of 79 = -(79)
Opposite of = -79
Place Value for 79
Place value describes each digit
Whole Number Position 2: 79
7 is our tens digit
This means we have 7 sets of tens
Whole Number Position 1: 79
9 is our ones digit
This means we have 9 sets of ones
7 is our tens digit
9 is our ones digit
Natural Logarithm of 79
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 79
Ln(79) = loge(79) = 4.369447852467
Is 79 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 79 is 9
Since 9 is not equal to 0,2,4,6,8:
then 79 is not divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 79 is 7 + 9 = 16
Since 16 is not divisible by 3:
Then 79 is not divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 79 are 79
Since 79 is not divisible by 4:
Then 79 is not divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 79 is 9
Since 9 is not equal to 0 or 5:
Then 79 is not divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 79 is not divisible by 2 and 3:
Then 79 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
9(1) + 7(3) = 31
Since 31 is not divisible by 7:
Then 79 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 2 digits of 79 are 79
Since 79 is not divisible by 8:
Then 79 is not divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 79 is 7 + 9 = 16
Since 16 is not divisible by 9:
Then 79 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 79 is 9
Since 9 is not equal to 0:
Then 79 is not divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 79 is a multiple of 11
Sum the odd digits:
79
7
Odd Sum = 7
Sum the even digits:
79
9
Even Sum = 9
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 7 - 9
Δ = -2
Divisibility Check:
Because Δ / 11 = 7.1818181818182:
Then 79 is NOT divisible by 11
Final Answer
9 is our ones digit
Ln(79) = loge(79) = 4.369447852467
Common Core State Standards In This Lesson
What is the Answer?
9 is our ones digit
Ln(79) = loge(79) = 4.369447852467
How does the Number Information Calculator work?
This calculator has 1 input.
What 4 concepts are covered in the Number Information Calculator?
- integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- property
- an attribute, quality, or characteristic of something
- tally
- a vertical line used to record counting
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