Number Info for

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Count the number of hundreds:

4 hundreds

Add up Hundred-Groups

Hundred-Groups = 100 + 100 + 100 + 100

Hundred-Groups = 400

Count the number of tens:

0 tens

Add up Ten-Groups

Ten-Groups =

Ten-Groups = 0

Count the number of ones:

0 ones

Add this to the ones for our total:

400 = 400 Hundreds + 0 Tens + 0 ones

400 = 400 + 0 + 0

Show numerical properties of 400

400

Draw this point on a number line:

Word Notation for 400

four hundred

Write the number 400 in expanded notation form:

Decompose 400

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 400 = (4 x 10²) + (0 x 10¹) + (0 x 10⁰)

Expanded Notation of 400 = (4 x 100) + (0 x 10) + (0 x 1)

Prove this is the correct notation:

400 = 400 + 0 + 0

400 = 400 <---- Correct!

Tally Marks for 400

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

80 blocks of 5 and 0 left over

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Tallies for 400

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Ordinal for 400

Define an ordinal number

A position in a list

400th

Digit and Reduced Digit Sum for 400

Calculate the digit sum of 400

Calculate the reduced digit sum of 400

Add up 3 digits of 400:

Digit Sum → 4 + 0 + 0 = 4

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

Digit Sum → 4 + 0 + 0 = 4

Digit Product for 400:

Calculate the digit product of 400

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

We multiply the 3 digits of 400 together

Digit product of 400 = 4 * 0 * 0

Digit product of 400 = 0

Opposite of 400

Opposite of 400 = -(400)

Opposite of = -400

Place Value for 400

Place value describes each digit

Whole Number Position 3: 400

4 is our hundreds digit

This means we have 4 sets of hundreds

Whole Number Position 2: 400

0 is our tens digit

This means we have 0 sets of tens

Whole Number Position 1: 400

0 is our ones digit

This means we have 0 sets of ones

4 is our hundreds digit
0 is our tens digit
0 is our ones digit

Natural Logarithm of 400

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

Evaluate x = 400

Ln(400) = log_e(400) = 5.991464547108

Is 400 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 400 is 0

Since 0 is equal to 0,2,4,6,8:
then 400 is divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 400 is 4 + 0 + 0 = 4

Since 4 is not divisible by 3:
Then 400 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 400 are 00

Since 00 is divisible by 4:
Then 400 is divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 400 is 0

Since 0 is equal to 0 or 5:
Then 400 is divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 400 is not divisible by 2 and 3:
Then 400 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

0(1) + 0(3) + 4(2) = 9

Since 9 is not divisible by 7:
Then 400 is not divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 3 digits of 400 are 400

Since 400 is divisible by 8:
Then 400 is divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 400 is 4 + 0 + 0 = 4

Since 4 is not divisible by 9:
Then 400 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 400 is 0

Since 0 is equal to 0:
Then 400 is divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 400 is a multiple of 11

Sum the odd digits:

400

4 + 0

Odd Sum = 4

Sum the even digits:

400

0

Even Sum = 0

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 4 - 0

Δ = 4

Divisibility Check:

Because Δ / 11 = 36.363636363636:
Then 400 is NOT divisible by 11

Divisibility Final Answer

400 is divisible by
(2,4,5,8,10)

Final Answer