Count the number of hundreds:
8 hundreds
Add up Hundred-Groups
Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100
Hundred-Groups = 800
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:
800 = 800 Hundreds + 0 Tens + 0 ones
800 = 800 + 0 + 0
Show numerical properties of 800
800
Draw this point on a number line:
Word Notation for 800
eight hundred
Write the number 800 in expanded notation form:
Decompose 800
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 800 = (8 x 102) + (0 x 101) + (0 x 100)
Expanded Notation of 800 = (8 x 100) + (0 x 10) + (0 x 1)
Prove this is the correct notation:
800 = 800 + 0 + 0
800 = 800 <---- Correct!
Tally Marks for 800
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
160 blocks of 5 and 0 left over
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Tallies for 800
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Ordinal for 800
Define an ordinal number
A position in a list
800th
Digit and Reduced Digit Sum for 800
Calculate the digit sum of 800
Calculate the reduced digit sum of 800
Add up 3 digits of 800:
Digit Sum → 8 + 0 + 0 = 8
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 8 + 0 + 0 = 8
Digit Product for 800:
Calculate the digit product of 800
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 3 digits of 800 together
Digit product of 800 = 8 * 0 * 0
Digit product of 800 = 0
Opposite of 800
Opposite of 800 = -(800)
Opposite of = -800
Place Value for 800
Place value describes each digit
Whole Number Position 3: 800
8 is our hundreds digit
This means we have 8 sets of hundreds
Whole Number Position 2: 800
0 is our tens digit
This means we have 0 sets of tens
Whole Number Position 1: 800
0 is our ones digit
This means we have 0 sets of ones
8 is our hundreds digit
0 is our tens digit
0 is our ones digit
Natural Logarithm of 800
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 800
Ln(800) = loge(800) = 6.6846117276679
Is 800 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 800 is 0
Since 0 is equal to 0,2,4,6,8:
then 800 is divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 800 is 8 + 0 + 0 = 8
Since 8 is not divisible by 3:
Then 800 is not divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 800 are 00
Since 00 is divisible by 4:
Then 800 is divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 800 is 0
Since 0 is equal to 0 or 5:
Then 800 is divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 800 is not divisible by 2 and 3:
Then 800 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) + 8(2) = 17
Since 17 is not divisible by 7:
Then 800 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 3 digits of 800 are 800
Since 800 is divisible by 8:
Then 800 is divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 800 is 8 + 0 + 0 = 8
Since 8 is not divisible by 9:
Then 800 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 800 is 0
Since 0 is equal to 0:
Then 800 is divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 800 is a multiple of 11
Sum the odd digits:
800
8 + 0
Odd Sum = 8
Sum the even digits:
800
0
Even Sum = 0
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 8 - 0
Δ = 8
Divisibility Check:
Because Δ / 11 = 72.727272727273:
Then 800 is NOT divisible by 11
Divisibility Final Answer
800 is divisible by
(2,4,5,8,10)
Final Answer
0 is our tens digit
0 is our ones digit
Ln(800) = loge(800) = 6.6846117276679
800 is divisible by
(2,4,5,8,10)
Common Core State Standards In This Lesson
What is the Answer?
0 is our tens digit
0 is our ones digit
Ln(800) = loge(800) = 6.6846117276679
800 is divisible by
(2,4,5,8,10)
How does the Number Information Calculator work?
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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