Enter Integer


  

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Count the number of hundreds:

9 hundreds

Add up Hundred-Groups

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

Hundred-Groups = 900

Count the number of tens:

1 tens

Add up Ten-Groups

Ten-Groups = 10

Ten-Groups = 10

Count the number of ones:

3 ones

Add this to the ones for our total:

913 = 900 Hundreds + 10 Tens + 3 ones

913 = 900 + 10 + 3

Show numerical properties of 913

913

Draw this point on a number line:

Word Notation for 913

nine hundred thirteen

Write the number 913 in expanded notation form:

Decompose 913

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 913 = (9 x 102) + (1 x 101) + (3 x 100)

Expanded Notation of 913 = (9 x 100) + (1 x 10) + (3 x 1)

Prove this is the correct notation:

913 = 900 + 10 + 3

913 = 913 <---- Correct!

Tally Marks for 913

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

182 blocks of 5 and 3 left over

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913 = | | |

Tallies for 913

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Ordinal for 913

Define an ordinal number

A position in a list

913th

Digit and Reduced Digit Sum for 913

Calculate the digit sum of 913

Calculate the reduced digit sum of 913

Add up 3 digits of 913:

Digit Sum → 9 + 1 + 3 = 13

Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 13

Add up 2 digits of 13:

Digit Sum → 1 + 3 = 4

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

Digit Sum → 1 + 3 = 4

Digit Product for 913:

Calculate the digit product of 913

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

We multiply the 3 digits of 913 together

Digit product of 913 = 9 * 1 * 3

Digit product of 913 = 27

Opposite of 913

Opposite of 913 = -(913)

Opposite of = -913

Place Value for 913

Place value describes each digit

Whole Number Position 3: 913

9 is our hundreds digit

This means we have 9 sets of hundreds

Whole Number Position 2: 913

1 is our tens digit

This means we have 1 sets of tens

Whole Number Position 1: 913

3 is our ones digit

This means we have 3 sets of ones

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

Natural Logarithm of 913

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

Evaluate x = 913

Ln(913) = loge(913) = 6.816735880595

Is 913 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 913 is 3

Since 3 is not equal to 0,2,4,6,8:
then 913 is not divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 913 is 9 + 1 + 3 = 13

Since 13 is not divisible by 3:
Then 913 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 913 are 13

Since 13 is not divisible by 4:
Then 913 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 913 is 3

Since 3 is not equal to 0 or 5:
Then 913 is not divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 913 is not divisible by 2 and 3:
Then 913 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) + 1(3) + 9(2) = 25

Since 25 is not divisible by 7:
Then 913 is not divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 3 digits of 913 are 913

Since 913 is not divisible by 8:
Then 913 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 913 is 9 + 1 + 3 = 13

Since 13 is not divisible by 9:
Then 913 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 913 is 3

Since 3 is not equal to 0:
Then 913 is not divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 913 is a multiple of 11

Sum the odd digits:

913

9 + 3

Odd Sum = 12

Sum the even digits:

913

1

Even Sum = 1

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 12 - 1

Δ = 11

Divisibility Check:

Because Δ / 11 is an integer = 83:
Then 913 is divisible by 11

Divisibility Final Answer

913 is divisible by
(11)

Final Answer

9 is our hundreds digit
1 is our tens digit
3 is our ones digit
Ln(913) = loge(913) = 6.816735880595
913 is divisible by
(11)



Keep Practicing
Common Core State Standards In This Lesson
1.NBT.B.2, 2.NBT.A.1, 2.NBT.A.1.A
What is the Answer?
9 is our hundreds digit
1 is our tens digit
3 is our ones digit
Ln(913) = loge(913) = 6.816735880595
913 is divisible by
(11)
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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