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Math Tomas
Math Tomas
by
TweetACOTOPAXI QUITO
on 20 November 2014Transcript of Math Tomas
Math
Tomas Montoya
First 6 Multiples of 14
14, 28, 42, 56, 70, 84, 98, 122, 136, 150, 164, 178
Dividend
A dividend is the number that is to be divided in a division problem.
Prime Numbers
Prime numbers are numbers that have less than two factors like: 23, 43, 7, 2, 3, 5, etc
Composite numbers
Composite numbers are numbers that have more than two factors like: 24, 32, 36, 48, 54, 64, 25, 27, 33, etc.
A divisor is the number you divide to get the quotient example:
Divisor
Factors of 48
30÷10=3
The divisor is 10 in this division problem.
30÷10=3
Prime Factorization
24
/
/
4 × 6
/
/
2×2
/
/
3×2
×
Divisibility rules for 2
Divisibility Rules for 3
Divisibility Rules for 4
Divisibility Rules for 5
Divisibility Rules for 6
The divisibility rules for 2 is if the last digit of a number is even (0, 2, 4, 6, 8) For example the number 48 because it ends in 8.
The divisibility rule for 3 is, if the sum of the digits is divisible by 3 for example the number 315 is divisible because if you add the digits it is equal to 9 and 3×3 equals nine.
The divisibility rule for 4 is that if the last two digits form a number divisible by 4 for example the number 912 is divisible because the last two digits form a factor of 4
The divisibility rule for five is if the last digit is 0 or 5. For example the numbers 7,305 and 630 are divisible by 5 because one ends with zero and the other one with five.
The divisibility rule for 6 is if the number is divisible by both 2 and 3. for example the number 48 is divisible because it ends with 8 and the sum is 12.
Divisibility Rule for 9
To do the prime factorization you need to do a factor tree.
First find two factors of a number.
Next find the factors of the numbers before or in this example the factors of 4 and 6.
Then you continue making the factor tree until you find out that the product are prime factors.
In this example 30 is the dividend.
1
,
2
,
3
,
4
,
6
8
,
12
,
16
,
24
,
48
The divisibility rule for 9 is if the sum of the digits is divisible by nine. For example the number 711 it´s divisible because the sum equals 9 and 9×1 equals 9, other example is 333,990 because it´s sum is 27 and 3×9 equals 27.
Divisibility Rule for 10
The divisibility rule for 10 is if the last digit is 0. For example 15,620 is divisible by ten because the last digit is zero another example is 136,970 because it´s last digit is 0.
Partial Quotient
8
361
20
20
5
160

201
160

41

40
r 1
45
+
45 r 1
First you need to decide a number easy to multiply with the divisor and at the same time the product be close and less to the dividend.
After subtracting the dividend to the product you choose a number which multiplied with the divisor be close or equal to that difference.
Finally if the difference is smaller than the divisor (this would be the residual) or equal zero, the next step is to add the next step is to add all the numbers with which you multiplied to the divisor and that´s the quotient of the division.
Full transcriptTomas Montoya
First 6 Multiples of 14
14, 28, 42, 56, 70, 84, 98, 122, 136, 150, 164, 178
Dividend
A dividend is the number that is to be divided in a division problem.
Prime Numbers
Prime numbers are numbers that have less than two factors like: 23, 43, 7, 2, 3, 5, etc
Composite numbers
Composite numbers are numbers that have more than two factors like: 24, 32, 36, 48, 54, 64, 25, 27, 33, etc.
A divisor is the number you divide to get the quotient example:
Divisor
Factors of 48
30÷10=3
The divisor is 10 in this division problem.
30÷10=3
Prime Factorization
24
/
/
4 × 6
/
/
2×2
/
/
3×2
×
Divisibility rules for 2
Divisibility Rules for 3
Divisibility Rules for 4
Divisibility Rules for 5
Divisibility Rules for 6
The divisibility rules for 2 is if the last digit of a number is even (0, 2, 4, 6, 8) For example the number 48 because it ends in 8.
The divisibility rule for 3 is, if the sum of the digits is divisible by 3 for example the number 315 is divisible because if you add the digits it is equal to 9 and 3×3 equals nine.
The divisibility rule for 4 is that if the last two digits form a number divisible by 4 for example the number 912 is divisible because the last two digits form a factor of 4
The divisibility rule for five is if the last digit is 0 or 5. For example the numbers 7,305 and 630 are divisible by 5 because one ends with zero and the other one with five.
The divisibility rule for 6 is if the number is divisible by both 2 and 3. for example the number 48 is divisible because it ends with 8 and the sum is 12.
Divisibility Rule for 9
To do the prime factorization you need to do a factor tree.
First find two factors of a number.
Next find the factors of the numbers before or in this example the factors of 4 and 6.
Then you continue making the factor tree until you find out that the product are prime factors.
In this example 30 is the dividend.
1
,
2
,
3
,
4
,
6
8
,
12
,
16
,
24
,
48
The divisibility rule for 9 is if the sum of the digits is divisible by nine. For example the number 711 it´s divisible because the sum equals 9 and 9×1 equals 9, other example is 333,990 because it´s sum is 27 and 3×9 equals 27.
Divisibility Rule for 10
The divisibility rule for 10 is if the last digit is 0. For example 15,620 is divisible by ten because the last digit is zero another example is 136,970 because it´s last digit is 0.
Partial Quotient
8
361
20
20
5
160

201
160

41

40
r 1
45
+
45 r 1
First you need to decide a number easy to multiply with the divisor and at the same time the product be close and less to the dividend.
After subtracting the dividend to the product you choose a number which multiplied with the divisor be close or equal to that difference.
Finally if the difference is smaller than the divisor (this would be the residual) or equal zero, the next step is to add the next step is to add all the numbers with which you multiplied to the divisor and that´s the quotient of the division.