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4 years ago

Integer? Yes No −58.5 −11 −287.29 1910 −273

Mathematics

2 answers:

Yuri [45]4 years ago

6 0

Subtract all of your numbers and see what you get

ElenaW [278]4 years ago

5 0

This might help you...

Integers and rational numbers

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

4141

8282

or even

−8−2−8−2

Whereas

15=0.215=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

Or repeating as in

56=0.83333...56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x||x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10||10|=10=|−10|

You might be interested in

How do I find the zeros from the giving factor

hichkok12 [17]

Answer:

Step-by-step explanation:

Return to the Lessons Index | Do the Lessons in Order | Print-friendly page

The Factor Theorem

The Factor Theorem is a result of the Remainder Theorem, and is based on the same reasoning. If you haven't read the lesson on the Remainder Theorem, review that topic first, and then return here.

As the Remainder Theorem points out, if you divide a polynomial p(x) by a factor x – a of that polynomial, then you will get a zero remainder. Let's look again at that Division Algorithm expression of the polynomial:

p(x) = (x – a)q(x) + r(x)

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be zero. That is:

p(x) = (x – a)q(x)

In terms of the Remainder Theorem, this means that, if x – a is a factor of p(x), then the remainder, when we do synthetic division by

x = a, will be zero.

The point of the Factor Theorem is the reverse of the Remainder Theorem: If you synthetic-divide a polynomial by x = a and get a zero remainder, then, not only is x = a a zero of the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor of the polynomial (courtesy of the Factor Theorem).

Just as with the Remainder Theorem, the point here is not to do the long division of a given polynomial by a given factor. This Theorem isn't repeating what you already know, but is instead trying to make your life simpler. When faced with a Factor Theorem exercise, you will apply synthetic division and then check for a zero remainder.

Use the Factor Theorem to determine whether x – 1 is a factor of

f (x) = 2x4 + 3x2 – 5x + 7.

For x – 1 to be a factor of f (x) = 2x4 + 3x2 – 5x + 7, the Factor Theorem says that x = 1 must be a zero of f (x). To test whether x – 1 is a factor, I will first set x – 1 equal to zero and solve to find the proposed zero, x = 1. Then I will use synthetic division to divide f (x) by x = 1. Since there is no cubed term, I will be careful to remember to insert a "0" into the first line of the synthetic division to represent the omitted power of x in 2x4 + 3x2 – 5x + 7:

6 0

3 years ago

Which plane figure generates a cylinder when it rotates about the dashed line?

MA_775_DIABLO [31]

The circle will form a sphere. (See 1st figure attached)

The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)

The rectangle will form a cylinder. (See 3rd figure attached)

The triangle will form a cone.

Answer: The third figure.