Number Info for

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Count the number of tens:

0 tens

Add up Ten-Groups

Ten-Groups =

Ten-Groups = 0

Count the number of ones:

3 ones

Add this to the ones for our total:

3 = 0 Hundreds + 0 Tens + 3 ones

3 = 0 + 0 + 3

Show numerical properties of 3

3

Draw this point on a number line:

Word Notation for 3

three

Write the number 3 in expanded notation form:

Decompose 3

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 3 = (3 x 10⁰)

Expanded Notation of 3 = (3 x 1)

Prove this is the correct notation:

3 = 3

3 = 3 <---- Correct!

Tally Marks for 3

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

0 block of 5 and 3 left over

3 = | | |

Tallies for 3

| | |

Ordinal for 3

Define an ordinal number

A position in a list

3rd

Digit and Reduced Digit Sum for 3

Calculate the digit sum of 3

Calculate the reduced digit sum of 3

Add up 1 digits of 3:

Digit Sum → 3 = 3

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

Digit Sum → 3 = 3

Digit Product for 3:

Calculate the digit product of 3

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

We multiply the 1 digits of 3 together

Digit product of 3 = 3

Digit product of 3 = 3

Opposite of 3

Opposite of 3 = -(3)

Opposite of = -3

Place Value for 3

Place value describes each digit

Whole Number Position 1: 3

3 is our ones digit

This means we have 3 sets of ones

3 is our ones digit

Natural Logarithm of 3

When e^y = x and e = 2.718281828459
We have Ln(x) = log_e(x) = y

Evaluate x = 3

Ln(3) = log_e(3) = 1.0986122886681

Is 3 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 3 is 3

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

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 3 is 3 = 3

Since 3 is divisible by 3:
Then 3 is divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last digit of 3 is 3

Since 3 is not divisible by 4:
Then 3 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 3 is 3

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

Divisibililty Check for 6

Divisible by both 2 and 3

Since 3 is not divisible by 2 and 3:
Then 3 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) = 4

Since 4 is not divisible by 7:
Then 3 is not divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last digit of 3 is 3

Since 3 is not divisible by 8:
Then 3 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 3 is 3 = 3

Since 3 is not divisible by 9:
Then 3 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 3 is 3

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

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 3 is a multiple of 11

Sum the odd digits:

3

3

Odd Sum = 3

Sum the even digits:

3

Even Sum = 0

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 3 - 0

Δ = 3

Divisibility Check:

Because Δ / 11 = 0.27272727272727:
Then 3 is NOT divisible by 11

Divisibility Final Answer

3 is divisible by
(3)

Final Answer

Tags:

• integer
• number
• property
• tally