All categories

3 years ago

Under what operations are the set of integers closed? Explain your answer.

1 answer:

3 0

Addition, subtraction, multiplication.

Addition: The addition of two integers produces another integer.

Subtraction: The subtraction of two integers produces another integer.

Multiplication: The product of two integers is an integer.

Division between two integers can produce a rational number that is not in the set of integers e.g. 1/3

This only includes the four basic arithmetic operations, you can include exponentiation and the modulo operation if you want to for the same reasons as above.

You might be interested in

Pls help! I'm confused. Can you explain this if you can.

alexdok [17]

Answer:

From a table, for an ordered pair (0, y), y will not be zero. From a graph, the y-intercept will not be zero. From an equation, it will have the form, y = mx + b where b is ≠ 0.

Step-by-step explanation:

From a table, for an ordered pair (0, y), y will not be zero. If there is not a constant rate of change in the data displayed in a table, then the table represents a nonlinear nonproportional relationship.
From a graph, the y-intercept will not be zero. This means that it doesn't contain or go through the origin.
From an equation, it will have the form, y = mx + b where b is ≠ 0. (not equal to zero). If an equation is not a linear equation, it represents a nonproportional relationship. A linear equation of the form y = mx + b may represent either a proportional (b = 0) or nonproportional (b ≠ 0) relationship. Therefore, when b ≠ 0, the relationship between x and y is nonproportional.

7 0

3 years ago

In 2016, the population of the United States was approximately 3.24 x 10^8. It is expected that the population will be about 3.9

aleksandrvk [35]

Answer:

7.4 x 10^7

Step-by-step explanation:

3.98 x 10^8 - 3.24 x 10^8 = 0.74 x 10^8 (not scientific notation, because it isn't full number)

0.74 x 10^8 ---> 7.4 x 10^7

- got seven by counting the spaces it moved over (right decrease, while left increases)

5 0

3 years ago

FIND.......16 2/3 % of 96 lamps

r-ruslan [8.4K]

Convert percentage to fraction by dividing by 100
16 2/3 = 16 2/3 ÷ 100 = 1/6

16 2/3 % of 96 = 1/6 x 96 = 16

Ans: 16 2/3 % of 96 lamps = 16

4 0

3 years ago

Order from least to greatest 12% of 60 55% of 220 400% of 18

frez [133]

Answer:

12% of 60, 400% of 18, 55% of 220

Step-by-step explanation:

12% of 60 =7.2

55% of 220 = 121

400% of 18 = 72

7.2, 72, 121

8 0

2 years ago

Please help me with the questions

Grace [21]

Answer:

x = 5

x = 2

Step-by-step explanation:

2(2x + 4) = 8x - 12

2x + 4 = 4x - 6

x + 2 = 2x - 3

x = 5

Question 17

8/4 = (x + 2)/(2x - 2)

2(2x - 2) = x + 2

4x - 4 = x + 2

3x = 6

x = 2

4 0

2 years ago