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PtichkaEL [24]
3 years ago
14

Now, look at the set of integers. Complete the table for the closure property if integers under the four operations.

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

Addition: closed

Example: -5 + 10 = 5, and -5, 10, and 5 are all integers

Subtraction: closed

Example: 10 - 8 = 2, and 10, 8, and 2 are all integers

Multiplication: closed

Example: -4 * 7 = -28, and -4, -7 and -28 are all integers

Division: not closed

Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers

The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.

The set of integers is not closed under division because a division of integers does not always result in an integer.

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Help! What si the verbal expression for this algebraic expression: 2x - 4 < 4x +8
katrin2010 [14]

Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Converting expressions to word form

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 4 < 4x + 8

<u>Step 2: Translate</u>

"2x" is the product of two and a number <em>x</em>

" - 4" is four less

"<" is less than

"4x" is the product of four and a number <em>x</em>

" + 8" is increased by 8

<u>Step 3: Combine</u>

The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.

<u>Step 4: Reword</u>

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

4 0
3 years ago
Read 2 more answers
The graph shows two lines, A and B. A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line
mixas84 [53]
( Part A: Ok 2,6 and 6,2 and 0,3 and 4.5,6 you can add 2,6 and every other number with part b which is 2,6 +0,3= 2,3 and also 2,6+4.5,6= 6.5,12 and you can do the same with 6,2 and you will get  6,5 and 10.5,8) 
(Part B: 2,3^6.5,12^6,5^10.5,8)
~Riley Hope this helped :P

7 0
3 years ago
Three consecutive even integers have a sum of -126. What is the smallest integer ?
SSSSS [86.1K]

Answer:

-40, - 42 and -44

Step-by-step explanation:

The fastes way here is trying. Lets pick a number, intelligently, and then work on it.

We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:

(-42)+ (-44) + (-46) = - 132, so -42 no.

Lets go a step back: -40

(-40) + (-42) + (-44) = -126

So, the integers are -40, -42 and -44

5 0
3 years ago
Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After on
Sergeeva-Olga [200]

Answer:

I think the answer would be +15.

Step-by-step explanation:

3 0
2 years ago
Find the values of a and b.<br> a<br> The diagram is not drawn to scale.<br> a =<br> U<br> b =<br> U
nata0808 [166]

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

                                     = (10 - 2) × 180°

                                     = 8 × 180°

                                     = 1440°

Interior angle = b = sum of interior angles ÷ number of sides

                          b = 1440 ÷ 10

                          b = 144°

              a + b = 180° (Sum of angles in the straight line)

         a + 144° = 180°

a + 144° - 144° = 180° - 144°

                    a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

                           a = 360° ÷ 10

                           a = 36°

            a + b = 180° (Sum of angles in the straight line)

        36° + b = 180°

36° + b - 36° = 180° - 36°

                 b = 144°

7 0
2 years ago
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