Category: Arithmetic
"Published in Newark, California, USA"
Divisibility by 10:
How
do you know that a number is divisible by 10? Well, a number is divisible by 10 if the last digit of a given number is 0.
Example 1:
The
first thing that we need to do is to inspect the given number if it is
divisible by 10 or not.
Since the last digit of a given number is not 0, then the given number is not divisible by 10. There's a remainder of 5 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The
first thing that we need to do is to inspect the given number if it is
divisible by 10 or not.
Since the last digit of a given number is 0, then the given number is divisible by 10. There's no remainder or a fraction in the division.
You
should consider in studying the divisibility of a number because you
will use these principles later when you will study higher Math subjects
that involves the division of a number, simplifying fractions, and even
factoring.
This
method can also be used for negative integers as long as the last digit of a given number is 0. Again, there should be no remainder or a
fraction in the division.

This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Friday, May 16, 2014
Thursday, May 15, 2014
Divisibility - 9
Category: Arithmetic
"Published in Newark, California, USA"
Divisibility by 9:
How do you know that a number is divisible by 9? Well, a number is divisible by 9 if the sum of the digits is a multiple of 9, then the given number is divisible by 9. You can repeat the process until the result is a multiple of 9.
Example 1:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 8 is not a multiple of 9, then the given number is not divisible by 9. There's a remainder of 8 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 9 is a multiple of 9, then the given number is divisible by 9. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the sum of the digits is a multiple of 9. Again, there should be no remainder or a fraction in the division.
"Published in Newark, California, USA"
Divisibility by 9:
How do you know that a number is divisible by 9? Well, a number is divisible by 9 if the sum of the digits is a multiple of 9, then the given number is divisible by 9. You can repeat the process until the result is a multiple of 9.
Example 1:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 8 is not a multiple of 9, then the given number is not divisible by 9. There's a remainder of 8 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 9 or not. Let's add the digits as follows
Since 9 is a multiple of 9, then the given number is divisible by 9. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the sum of the digits is a multiple of 9. Again, there should be no remainder or a fraction in the division.
Wednesday, May 14, 2014
Divisibility - 8
Category: Arithmetic
"Published in Newark, California, USA"
Divisibility by 8:
How do you know that a number is divisible by 8? Well, a number is divisible by 8 if the last three digits of a given number is a multiple of 8 or divisible by 8. Also, if the last digit of a given number ends with 000 is also divisible by 8.
Example1:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the given number is an odd number, then obviously that it is not divisible by 8. All multiples of 8 are even numbers. There's a remainder of 5 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Although the given number is an even number, still we need to inspect the last three digit which is 086. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and so on. Since 86 is not a multiple of 8, then the given number is not divisible by 8. There's a remainder of 6 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 3:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, and so on. Since the last digit of a given number which is 104 is a multiple of 8, then the given number is divisible by 8. There's no remainder or a fraction in the division.
Example 4:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the last three digit of a given number is 000, then the given number is divisible by 8. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the last three digit of a given number is a multiple of 8 or 0. Again, there should be no remainder or a fraction in the division.
"Published in Newark, California, USA"
Divisibility by 8:
How do you know that a number is divisible by 8? Well, a number is divisible by 8 if the last three digits of a given number is a multiple of 8 or divisible by 8. Also, if the last digit of a given number ends with 000 is also divisible by 8.
Example1:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the given number is an odd number, then obviously that it is not divisible by 8. All multiples of 8 are even numbers. There's a remainder of 5 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Although the given number is an even number, still we need to inspect the last three digit which is 086. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and so on. Since 86 is not a multiple of 8, then the given number is not divisible by 8. There's a remainder of 6 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 3:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, and so on. Since the last digit of a given number which is 104 is a multiple of 8, then the given number is divisible by 8. There's no remainder or a fraction in the division.
Example 4:
The first thing that we need to do is to inspect the given number if it is divisible by 8 or not.
Since the last three digit of a given number is 000, then the given number is divisible by 8. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the last three digit of a given number is a multiple of 8 or 0. Again, there should be no remainder or a fraction in the division.
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