Count the number of hundreds:

7 hundreds

Add up Hundred-Groups

Hundred-Groups = 100 + 100 + 100 + 100 + 100 + 100 + 100

Hundred-Groups = 700

Count the number of tens:

0 tens

Add up Ten-Groups

Ten-Groups =

Ten-Groups = 0

Count the number of ones:

6 ones

Add this to the ones for our total:

706 = 700 Hundreds + 0 Tens + 6 ones

706 = 700 + 0 + 6

Show numerical properties of 706

706

Draw this point on a number line:

Word Notation for 706

seven hundred six

Write the number 706 in expanded notation form:

Decompose 706

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 706 = (7 x 102) + (0 x 101) + (6 x 100)

Expanded Notation of 706 = (7 x 100) + (0 x 10) + (6 x 1)

Prove this is the correct notation:

706 = 700 + 0 + 6

706 = 706 <---- Correct!

Tally Marks for 706

Make blocks of 5

Tally Marks Definition:

1 tally mark = |

2 tally marks = ||

3 tally marks = |||

4 tally marks = ||||

5 tally marks = | | | |

141 blocks of 5 and 1 left over

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706 = |

Tallies for 706

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Ordinal for 706

Define an ordinal number

A position in a list

706th

Digit and Reduced Digit Sum for 706

Calculate the digit sum of 706

Calculate the reduced digit sum of 706

Add up 3 digits of 706:

Digit Sum → 7 + 0 + 6 = 13

Since our digit sum > 9:
repeat this process to get the reduced digit sum:
Our new number to evaluate is 13

Add up 2 digits of 13:

Digit Sum → 1 + 3 = 4

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

Digit Sum → 1 + 3 = 4

Digit Product for 706:

Calculate the digit product of 706

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

We multiply the 3 digits of 706 together

Digit product of 706 = 7 * 0 * 6

Digit product of 706 = 0

Opposite of 706

Opposite of 706 = -(706)

Opposite of = -706

Place Value for 706

Place value describes each digit

Whole Number Position 3: 706

7 is our hundreds digit

This means we have 7 sets of hundreds

Whole Number Position 2: 706

0 is our tens digit

This means we have 0 sets of tens

Whole Number Position 1: 706

6 is our ones digit

This means we have 6 sets of ones

7 is our hundreds digit
0 is our tens digit
6 is our ones digit

Natural Logarithm of 706

When ey = x and e = 2.718281828459
We have Ln(x) = loge(x) = y

Evaluate x = 706

Ln(706) = loge(706) = 6.5596152374932

Is 706 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 706 is 6

Since 6 is equal to 0,2,4,6,8:
then 706 is divisible by 2

Divisibililty Check for 3

Sum of the digits is divisible by 3

The sum of the digits for 706 is 7 + 0 + 6 = 13

Since 13 is not divisible by 3:
Then 706 is not divisible by 3

Divisibililty Check for 4

Take the last two digits
Are they divisible by 4?

The last 2 digits of 706 are 06

Since 06 is not divisible by 4:
Then 706 is not divisible by 4

Divisibililty Check for 5

Number ends with a 0 or 5

The last digit of 706 is 6

Since 6 is not equal to 0 or 5:
Then 706 is not divisible by 5

Divisibililty Check for 6

Divisible by both 2 and 3

Since 706 is not divisible by 2 and 3:
Then 706 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

6(1) + 0(3) + 7(2) = 21

Since 21 is divisible by 7:
Then 706 is divisible by 7

Divisibililty Check for 8

Take the last three digits
Are they divisible by 8

The last 3 digits of 706 are 706

Since 706 is not divisible by 8:
Then 706 is not divisible by 8

Divisibililty Check for 9

Sum of digits divisible by 9

The sum of the digits for 706 is 7 + 0 + 6 = 13

Since 13 is not divisible by 9:
Then 706 is not divisible by 9

Divisibililty Check for 10

Ends with a 0

The last digit of 706 is 6

Since 6 is not equal to 0:
Then 706 is not divisible by 10

Divisibililty Check for 11

Σ odd digits - Σ even digits = 0
or 706 is a multiple of 11

Sum the odd digits:

706

7 + 6

Odd Sum = 13

Sum the even digits:

706

0

Even Sum = 0

Take the difference:

Δ = Odd Sum - Even Sum

Δ = 13 - 0

Δ = 13

Divisibility Check:

Because Δ / 11 = 64.181818181818:
Then 706 is NOT divisible by 11

Divisibility Final Answer

706 is divisible by
(2,7)

Final Answer


7 is our hundreds digit
0 is our tens digit
6 is our ones digit
Ln(706) = loge(706) = 6.5596152374932
706 is divisible by
(2,7)


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Common Core State Standards In This Lesson
1.NBT.B.2, 2.NBT.A.1, 2.NBT.A.1.A
What is the Answer?
7 is our hundreds digit
0 is our tens digit
6 is our ones digit
Ln(706) = loge(706) = 6.5596152374932
706 is divisible by
(2,7)
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Free Number Info Calculator - Calculates number info for a positive integer
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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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