Number Info for

Crop Image

×

Crop

Count the number of tens:

2 tens

Add up Ten-Groups

Ten-Groups = 10 + 10

Ten-Groups = 20

Count the number of ones:

3 ones

Add this to the ones for our total:

23 = 0 Hundreds + 20 Tens + 3 ones

23 = 0 + 20 + 3

Show numerical properties of 23

23

Draw this point on a number line:

Word Notation for 23

twenty three

Write the number 23 in expanded notation form:

Decompose 23

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 23 = (2 x 10¹) + (3 x 10⁰)

Expanded Notation of 23 = (2 x 10) + (3 x 1)

Prove this is the correct notation:

23 = 20 + 3

23 = 23 <---- Correct!

Tally Marks for 23

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

4 blocks of 5 and 3 left over

5 = | | | |

10 = | | | |

15 = | | | |

20 = | | | |

23 = | | |

Tallies for 23

| | | | | | | | | | | | | | | | | | |

Ordinal for 23

Define an ordinal number

A position in a list

23rd

Digit and Reduced Digit Sum for 23

Calculate the digit sum of 23

Calculate the reduced digit sum of 23

Add up 2 digits of 23:

Digit Sum → 2 + 3 = 5

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

Digit Sum → 2 + 3 = 5

Digit Product for 23:

Calculate the digit product of 23

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

We multiply the 2 digits of 23 together

Digit product of 23 = 2 * 3

Digit product of 23 = 6

Opposite of 23

Opposite of 23 = -(23)

Opposite of = -23

Place Value for 23

Place value describes each digit

Whole Number Position 2: 23

2 is our tens digit

This means we have 2 sets of tens

Whole Number Position 1: 23

3 is our ones digit

This means we have 3 sets of ones

2 is our tens digit
3 is our ones digit

Natural Logarithm of 23

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

Evaluate x = 23

Ln(23) = log_e(23) = 3.1354942159291

Is 23 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 23 is 3

Since 3 is not equal to 0,2,4,6,8:
then 23 is not divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 23 is 2 + 3 = 5

Since 5 is not divisible by 3:
Then 23 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 23 are 23

Since 23 is not divisible by 4:
Then 23 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 23 is 3

Since 3 is not equal to 0 or 5:
Then 23 is not divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 23 is not divisible by 2 and 3:
Then 23 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) + 2(3) = 10

Since 10 is not divisible by 7:
Then 23 is not divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 2 digits of 23 are 23

Since 23 is not divisible by 8:
Then 23 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 23 is 2 + 3 = 5

Since 5 is not divisible by 9:
Then 23 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 23 is 3

Since 3 is not equal to 0:
Then 23 is not divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 23 is a multiple of 11

Sum the odd digits:

23

2

Odd Sum = 2

Sum the even digits:

23

3

Even Sum = 3

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 2 - 3

Δ = -1

Divisibility Check:

Because Δ / 11 = 2.0909090909091:
Then 23 is NOT divisible by 11

Final Answer