# Addition, subtraction, and multiplication are said to be closed for integers that is when you add subtract or multiply integers the result is also an integer. is division closed for integers?

The set of integers is closed under addition, subtraction, and multiplication because when I add, subtract, or multiply any integers, the result is always an integer. The set is not closed under division because 2 + 4 = 0.5, and 0.5 is not an integer.

add 5+11

Step-by-step explanation:

this would work because it doesn't interfere with the multiplication

Explanation:

The LCM, or least common multiple, is the smallest number that two other numbers can divide evenly into. The LCM is the basis of the LCD, or least common denominator, which is used while adding and subtracting fractions.

When adding or subtracting fractions, we must have a common denominator. In order to avoid simplifying more than necessary, it is helpful to use the least common denominator, or LCD. This is basically the LCM of the denominators.

The GCF, or greatest common factor, is what we use to simplify fractions. When we finish adding, subtracting or multiplying fractions, we often have a fraction that needs simplified. In order to do this, we want to divide the numerator and denominator by a common factor. However, using small factors results in more work; it is much easier to use the largest factor that will evenly divide into both numbers, or the GCF.

finding the GCF always help to make both of the denominators the same and it is easier :)

If the denominators are different numbers, it is necessary to find a common denominator. Find the Lowest Common Multiple (LCM) of the denominators (also known as the Lowest Common Denominator, or LCD) and convert the fractions to equivalent fractions with the same denominator. Now they have the same denominator, proceed as above.

Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12 (here LCM=12)

You don't have to do anything to fractions to multiply them, but you may need to reduce one after multiplying. To do that, find the GCF of the numerator and the denominator and divide both of them by it. If the GCF is 1, the fraction is in its simplest form.

Example: 1/4 · 2/5 = 1·2/4·5=2/20=1/10 (here GCF=2)

The formula for the volume for rectangular prisms and cubes are length x width x height so you multiply.

A cylinder is the radius x radius x 3.14 x height so it is still multiplying.

You add when you find the perimeter.

Step-by-step explanation:

Hope this helps can I have brainliest

to add: align your decimal and add just like you would regualar 2 or more digit numbers

To subtract: Write down the two numbers, one under the other, with the decimal points lined up. Add zeros so the numbers have the same length. Then subtract normally, remembering to put the decimal point in the answer.

To multiply: Multiply normally, ignoring the decimal points. Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined

78-9 = ?

Is that a multiple for number 5?

The LCD, or least common denominator, is the LCM of the denominators. Once we've added, subtracted or multiplied fractions, we often have to simplify the fraction.

In order to do this, we divide the numerator and denominator by their GCF. This means we must be able to find the LCM and GCF in order to work with fractions.