Count the number of hundreds:
9 hundreds
Add up Hundred-Groups
Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100
Hundred-Groups = 900
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:
900 = 900 Hundreds + 0 Tens + 0 ones
900 = 900 + 0 + 0
Show numerical properties of 900
900
Draw this point on a number line:
Word Notation for 900
nine hundred
Write the number 900 in expanded notation form:
Decompose 900
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 900 = (9 x 102) + (0 x 101) + (0 x 100)
Expanded Notation of 900 = (9 x 100) + (0 x 10) + (0 x 1)
Prove this is the correct notation:
900 = 900 + 0 + 0
900 = 900 <---- Correct!
Tally Marks for 900
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
180 blocks of 5 and 0 left over
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Tallies for 900
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Ordinal for 900
Define an ordinal number
A position in a list
900th
Digit and Reduced Digit Sum for 900
Calculate the digit sum of 900
Calculate the reduced digit sum of 900
Add up 3 digits of 900:
Digit Sum → 9 + 0 + 0 = 9
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 9 + 0 + 0 = 9
Digit Product for 900:
Calculate the digit product of 900
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 3 digits of 900 together
Digit product of 900 = 9 * 0 * 0
Digit product of 900 = 0
Opposite of 900
Opposite of 900 = -(900)
Opposite of = -900
Place Value for 900
Place value describes each digit
Whole Number Position 3: 900
9 is our hundreds digit
This means we have 9 sets of hundreds
Whole Number Position 2: 900
0 is our tens digit
This means we have 0 sets of tens
Whole Number Position 1: 900
0 is our ones digit
This means we have 0 sets of ones
9 is our hundreds digit
0 is our tens digit
0 is our ones digit
Natural Logarithm of 900
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 900
Ln(900) = loge(900) = 6.8023947633243
Is 900 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 900 is 0
Since 0 is equal to 0,2,4,6,8:
then 900 is divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 900 is 9 + 0 + 0 = 9
Since 9 is divisible by 3:
Then 900 is divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 900 are 00
Since 00 is divisible by 4:
Then 900 is divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 900 is 0
Since 0 is equal to 0 or 5:
Then 900 is divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 900 is divisible by 2 and 3:
Then 900 is 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) + 9(2) = 19
Since 19 is not divisible by 7:
Then 900 is not divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 3 digits of 900 are 900
Since 900 is not divisible by 8:
Then 900 is not divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 900 is 9 + 0 + 0 = 9
Since 9 is divisible by 9:
Then 900 is divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 900 is 0
Since 0 is equal to 0:
Then 900 is divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 900 is a multiple of 11
Sum the odd digits:
900
9 + 0
Odd Sum = 9
Sum the even digits:
900
0
Even Sum = 0
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 9 - 0
Δ = 9
Divisibility Check:
Because Δ / 11 = 81.818181818182:
Then 900 is NOT divisible by 11
Divisibility Final Answer
900 is divisible by
(2,3,4,5,6,9,10)
Final Answer
0 is our tens digit
0 is our ones digit
Ln(900) = loge(900) = 6.8023947633243
900 is divisible by
(2,3,4,5,6,9,10)
Common Core State Standards In This Lesson
What is the Answer?
0 is our tens digit
0 is our ones digit
Ln(900) = loge(900) = 6.8023947633243
900 is divisible by
(2,3,4,5,6,9,10)
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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