Count the number of hundreds:
10 hundreds
Add up Hundred-Groups
Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100
Hundred-Groups = 1000
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:
1000 = 1000 Hundreds + 0 Tens + 0 ones
1000 = 1000 + 0 + 0
Show numerical properties of 1000
1000
Draw this point on a number line:
Word Notation for 1000
one thousand
Write the number 1000 in expanded notation form:
Decompose 1000
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 1000 = (1 x 103) + (0 x 102) + (0 x 101) + (0 x 100)
Expanded Notation of 1000 = (1 x 1000) + (0 x 100) + (0 x 10) + (0 x 1)
Prove this is the correct notation:
1000 = 1000 + 0 + 0 + 0
1000 = 1000 <---- Correct!
Tally Marks for 1000
Make blocks of 5
Tally Marks Definition:
1 tally mark = |
2 tally marks = ||
3 tally marks = |||
4 tally marks = ||||
5 tally marks = | | | |
200 blocks of 5 and 0 left over
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Tallies for 1000
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Ordinal for 1000
Define an ordinal number
A position in a list
1000th
Digit and Reduced Digit Sum for 1000
Calculate the digit sum of 1000
Calculate the reduced digit sum of 1000
Add up 4 digits of 1000:
Digit Sum → 1 + 0 + 0 + 0 = 1
Since our digit sum ≤ 9:
we have our reduced digit sum
Digit Sum → 1 + 0 + 0 + 0 = 1
Digit Product for 1000:
Calculate the digit product of 1000
Digit Product = Value when you multiply
all the digits of a number together.
We multiply the 4 digits of 1000 together
Digit product of 1000 = 1 * 0 * 0 * 0
Digit product of 1000 = 0
Opposite of 1000
Opposite of 1000 = -(1000)
Opposite of = -1000
Place Value for 1000
Place value describes each digit
Whole Number Position 4: 1000
1 is our thousands digit
This means we have 1 sets of thousands
Whole Number Position 3: 1000
0 is our hundreds digit
This means we have 0 sets of hundreds
Whole Number Position 2: 1000
0 is our tens digit
This means we have 0 sets of tens
Whole Number Position 1: 1000
0 is our ones digit
This means we have 0 sets of ones
1 is our thousands digit
0 is our hundreds digit
0 is our tens digit
0 is our ones digit
Natural Logarithm of 1000
When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y
Evaluate x = 1000
Ln(1000) = loge(1000) = 6.9077552789821
Is 1000 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 1000 is 0
Since 0 is equal to 0,2,4,6,8:
then 1000 is divisible by 2
Divisibililty Check for 3
Sum of the digits is divisible by 3
The sum of the digits for 1000 is 1 + 0 + 0 + 0 = 1
Since 1 is not divisible by 3:
Then 1000 is not divisible by 3
Divisibililty Check for 4
Take the last two digits
Are they divisible by 4?
The last 2 digits of 1000 are 00
Since 00 is divisible by 4:
Then 1000 is divisible by 4
Divisibililty Check for 5
Number ends with a 0 or 5
The last digit of 1000 is 0
Since 0 is equal to 0 or 5:
Then 1000 is divisible by 5
Divisibililty Check for 6
Divisible by both 2 and 3
Since 1000 is not divisible by 2 and 3:
Then 1000 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) + 0(2) + 1(6) = 7
Since 7 is divisible by 7:
Then 1000 is divisible by 7
Divisibililty Check for 8
Take the last three digits
Are they divisible by 8
The last 3 digits of 1000 are 000
Since 000 is divisible by 8:
Then 1000 is divisible by 8
Divisibililty Check for 9
Sum of digits divisible by 9
The sum of the digits for 1000 is 1 + 0 + 0 + 0 = 1
Since 1 is not divisible by 9:
Then 1000 is not divisible by 9
Divisibililty Check for 10
Ends with a 0
The last digit of 1000 is 0
Since 0 is equal to 0:
Then 1000 is divisible by 10
Divisibililty Check for 11
Σ odd digits - Σ even digits = 0
or 1000 is a multiple of 11
Sum the odd digits:
1000
1 + 0
Odd Sum = 1
Sum the even digits:
1000
0 + 0
Even Sum = 0
Take the difference:
Δ = Odd Sum - Even Sum
Δ = 1 - 0
Δ = 1
Divisibility Check:
Because Δ / 11 = 90.909090909091:
Then 1000 is NOT divisible by 11
Divisibility Final Answer
1000 is divisible by
(2,4,5,7,8,10)
Final Answer
0 is our hundreds digit
0 is our tens digit
0 is our ones digit
Ln(1000) = loge(1000) = 6.9077552789821
1000 is divisible by
(2,4,5,7,8,10)
Common Core State Standards In This Lesson
What is the Answer?
0 is our hundreds digit
0 is our tens digit
0 is our ones digit
Ln(1000) = loge(1000) = 6.9077552789821
1000 is divisible by
(2,4,5,7,8,10)
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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