Question

2. Graph each integer and its opposite on a number line.
(a) 7
(b) -5
(c) - 1
3. Compare the integers. Use > or <.
(e) - 8
(d) 4​

Answer 1

Integers are the number system that exists in the positive and negative. Zero is a number with no sign and remains neutral throughout. In an integer number line, the numbers go from positive on the right side and negative on the left side.

Marking each integer and its opposite means that the opposite of the given integer is either its positive or negative version.

a. 7

Here since 7 is positive we can say that the opposite integer to the number in the number line is -7.

b. -5

Here since -5 is negative so we can say that the integer opposite to the number on the positive side of the number line is 5.

c. -1

Here since -1 is negative so we can say that the integer opposite to the number on the positive side of the number line is 1.

Comparing the integers can be done from < or > which indicates if the number is greater than or not. When the number is positive or 0 it is greater than every negative number. When the number is negative the number is lesser than every positive number, 0, and the number that comes before it.

e. - 8

Here for < or greater than can be seen is,

-8 < -7, -6, -5, -4, -3, -2, -1, 0, 1, 2 .... and so on.

Here for > or lesser than can be seen is,

-8 > -9, -10, -11, -12... and so on

d. 4

Here for < or greater than can be seen is,

4 < 5, 6, 7, 8, 9, 10 .... and so on.

Here for > or lesser than can be seen is,

4 > 3, 2, 1, 0, -1, -2, -3 ... and so on

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