Count the number of hundreds:

8 hundreds

Add up Hundred-Groups

Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100

Hundred-Groups = 800

Count the number of tens:

3 tens

Add up Ten-Groups

Ten-Groups = 10 + 10 + 10

Ten-Groups = 30

Count the number of ones:

9 ones

Add this to the ones for our total:

839 = 800 Hundreds + 30 Tens + 9 ones

839 = 800 + 30 + 9

Show numerical properties of 839

839

Draw this point on a number line:

Word Notation for 839

eight hundred thirty nine

Write the number 839 in expanded notation form:

Decompose 839

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 839 = (8 x 102) + (3 x 101) + (9 x 100)

Expanded Notation of 839 = (8 x 100) + (3 x 10) + (9 x 1)

Prove this is the correct notation:

839 = 800 + 30 + 9

839 = 839 <---- Correct!

Tally Marks for 839

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

167 blocks of 5 and 4 left over

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835 = | | | |

839 = | | | |

Tallies for 839

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Ordinal for 839

Define an ordinal number

A position in a list

839th

Digit and Reduced Digit Sum for 839

Calculate the digit sum of 839

Calculate the reduced digit sum of 839

Add up 3 digits of 839:

Digit Sum → 8 + 3 + 9 = 20

Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 20

Add up 2 digits of 20:

Digit Sum → 2 + 0 = 2

Since our digit sum ≤ 9:
we have our reduced digit sum

Digit Sum → 2 + 0 = 2

Digit Product for 839:

Calculate the digit product of 839

Digit Product = Value when you multiply
all the digits of a number together.

We multiply the 3 digits of 839 together

Digit product of 839 = 8 * 3 * 9

Digit product of 839 = 216

Opposite of 839

Opposite of 839 = -(839)

Opposite of = -839

Place Value for 839

Place value describes each digit

Whole Number Position 3: 839

8 is our hundreds digit

This means we have 8 sets of hundreds

Whole Number Position 2: 839

3 is our tens digit

This means we have 3 sets of tens

Whole Number Position 1: 839

9 is our ones digit

This means we have 9 sets of ones

8 is our hundreds digit
3 is our tens digit
9 is our ones digit

Natural Logarithm of 839

When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y

Evaluate x = 839

Ln(839) = loge(839) = 6.7322107064672

Is 839 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 839 is 9

Since 9 is not equal to 0,2,4,6,8:
then 839 is not divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 839 is 8 + 3 + 9 = 20

Since 20 is not divisible by 3:
Then 839 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 839 are 39

Since 39 is not divisible by 4:
Then 839 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 839 is 9

Since 9 is not equal to 0 or 5:
Then 839 is not divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 839 is not divisible by 2 and 3:
Then 839 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) + 3(3) + 8(2) = 35

Since 35 is divisible by 7:
Then 839 is divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 3 digits of 839 are 839

Since 839 is not divisible by 8:
Then 839 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 839 is 8 + 3 + 9 = 20

Since 20 is not divisible by 9:
Then 839 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 839 is 9

Since 9 is not equal to 0:
Then 839 is not divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 839 is a multiple of 11

Sum the odd digits:

839

8 + 9

Odd Sum = 17

Sum the even digits:

839

3

Even Sum = 3

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 17 - 3

Δ = 14

Divisibility Check:

Because Δ / 11 = 76.272727272727:
Then 839 is NOT divisible by 11

Divisibility Final Answer

839 is divisible by
(7)

Final Answer


8 is our hundreds digit
3 is our tens digit
9 is our ones digit
Ln(839) = loge(839) = 6.7322107064672
839 is divisible by
(7)


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Common Core State Standards In This Lesson
1.NBT.B.2, 2.NBT.A.1, 2.NBT.A.1.A
What is the Answer?
8 is our hundreds digit
3 is our tens digit
9 is our ones digit
Ln(839) = loge(839) = 6.7322107064672
839 is divisible by
(7)
How does the Number Information Calculator work?
Free Number Info Calculator - Calculates number info for a positive integer
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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