Number Info for

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Count the number of tens:

3 tens

Add up Ten-Groups

Ten-Groups = 10 + 10 + 10

Ten-Groups = 30

Count the number of ones:

8 ones

Add this to the ones for our total:

38 = 0 Hundreds + 30 Tens + 8 ones

38 = 0 + 30 + 8

Show numerical properties of 38

38

Draw this point on a number line:

Word Notation for 38

thirty eight

Write the number 38 in expanded notation form:

Decompose 38

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 38 = (3 x 10¹) + (8 x 10⁰)

Expanded Notation of 38 = (3 x 10) + (8 x 1)

Prove this is the correct notation:

38 = 30 + 8

38 = 38 <---- Correct!

Tally Marks for 38

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

7 blocks of 5 and 3 left over

5 = | | | |

10 = | | | |

15 = | | | |

20 = | | | |

25 = | | | |

30 = | | | |

35 = | | | |

38 = | | |

Tallies for 38

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Ordinal for 38

Define an ordinal number

A position in a list

38th

Digit and Reduced Digit Sum for 38

Calculate the digit sum of 38

Calculate the reduced digit sum of 38

Add up 2 digits of 38:

Digit Sum → 3 + 8 = 11

Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 11

Add up 2 digits of 11:

Digit Sum → 1 + 1 = 2

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

Digit Sum → 1 + 1 = 2

Digit Product for 38:

Calculate the digit product of 38

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

We multiply the 2 digits of 38 together

Digit product of 38 = 3 * 8

Digit product of 38 = 24

Opposite of 38

Opposite of 38 = -(38)

Opposite of = -38

Place Value for 38

Place value describes each digit

Whole Number Position 2: 38

3 is our tens digit

This means we have 3 sets of tens

Whole Number Position 1: 38

8 is our ones digit

This means we have 8 sets of ones

3 is our tens digit
8 is our ones digit

Natural Logarithm of 38

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

Evaluate x = 38

Ln(38) = log_e(38) = 3.6375861597264

Is 38 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 38 is 8

Since 8 is equal to 0,2,4,6,8:
then 38 is divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 38 is 3 + 8 = 11

Since 11 is not divisible by 3:
Then 38 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 38 are 38

Since 38 is not divisible by 4:
Then 38 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 38 is 8

Since 8 is not equal to 0 or 5:
Then 38 is not divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 38 is not divisible by 2 and 3:
Then 38 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

8(1) + 3(3) = 18

Since 18 is not divisible by 7:
Then 38 is not divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 2 digits of 38 are 38

Since 38 is not divisible by 8:
Then 38 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 38 is 3 + 8 = 11

Since 11 is not divisible by 9:
Then 38 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 38 is 8

Since 8 is not equal to 0:
Then 38 is not divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 38 is a multiple of 11

Sum the odd digits:

38

3

Odd Sum = 3

Sum the even digits:

38

8

Even Sum = 8

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 3 - 8

Δ = -5

Divisibility Check:

Because Δ / 11 = 3.4545454545455:
Then 38 is NOT divisible by 11

Divisibility Final Answer

38 is divisible by
(2)

Final Answer