Show numerical properties of 3589
3589
Draw this point on a number line:
Word Notation for 3589
three thousand five hundred eighty nine
Write the number 3589 in expanded notation form:
Decompose 3589
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 3589 = (3 x 103) + (5 x 102) + (8 x 101) + (9 x 100)
Expanded Notation of 3589 = (3 x 1000) + (5 x 100) + (8 x 10) + (9 x 1)
Prove this is the correct notation:
3589 = 3000 + 500 + 80 + 9
3589 = 3589 <---- Correct!
Tally Marks for 3589
Make blocks of 5
Tally Marks Definition:
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717 blocks of 5 and 4 left over
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Tallies for 3589
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Ordinal for 3589
Define an ordinal number
A position in a list
3589th
Digit and Reduced Digit Sum for 3589
Calculate the digit sum of 3589
Calculate the reduced digit sum of 3589
Add up 4 digits of 3589:
Digit Sum → 3 + 5 + 8 + 9 = 25
Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 25
Add up 2 digits of 25:
Digit Sum → 2 + 5 = 7
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 2 + 5 = 7
Digit Product for 3589:
Calculate the digit product of 3589
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 4 digits of 3589 together
Digit product of 3589 = 3 * 5 * 8 * 9
Digit product of 3589 = 1,080
Opposite of 3589
Opposite of 3589 = -(3589)
Opposite of = -3589
Place Value for 3589
Place value describes each digit
Whole Number Position 4: 3589
3 is our thousands digit
This means we have 3 sets of thousands
Whole Number Position 3: 3589
5 is our hundreds digit
This means we have 5 sets of hundreds
Whole Number Position 2: 3589
8 is our tens digit
This means we have 8 sets of tens
Whole Number Position 1: 3589
9 is our ones digit
This means we have 9 sets of ones
3 is our thousands digit
5 is our hundreds digit
8 is our tens digit
9 is our ones digit
Natural Logarithm of 3589
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 3589
Ln(3589) = loge(3589) = 8.1856288911476
Is 3589 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 3589 is 9
Since 9 is not equal to 0,2,4,6,8:
then 3589 is not divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 3589 is 3 + 5 + 8 + 9 = 25
Since 25 is not divisible by 3:
Then 3589 is not divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 3589 are 89
Since 89 is not divisible by 4:
Then 3589 is not divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 3589 is 9
Since 9 is not equal to 0 or 5:
Then 3589 is not divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 3589 is not divisible by 2 and 3:
Then 3589 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) + 8(3) + 5(2) + 3(6) = 62
Since 62 is not divisible by 7:
Then 3589 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 3 digits of 3589 are 589
Since 589 is not divisible by 8:
Then 3589 is not divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 3589 is 3 + 5 + 8 + 9 = 25
Since 25 is not divisible by 9:
Then 3589 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 3589 is 9
Since 9 is not equal to 0:
Then 3589 is not divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 3589 is a multiple of 11
Sum the odd digits:
3589
3 + 8
Odd Sum = 11
Sum the even digits:
3589
5 + 9
Even Sum = 14
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 11 - 14
Δ = -3
Divisibility Check:
Because Δ / 11 = 326.27272727273:
Then 3589 is NOT divisible by 11
Final Answer
5 is our hundreds digit
8 is our tens digit
9 is our ones digit
Ln(3589) = loge(3589) = 8.1856288911476
Common Core State Standards In This Lesson
What is the Answer?
5 is our hundreds digit
8 is our tens digit
9 is our ones digit
Ln(3589) = loge(3589) = 8.1856288911476
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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