Which expression has a value less than −5?

1+(-8)

Step-by-step explanation:

1 added to -8 equals -7 which is less than -5

1 + (-8)

Step-by-step explanation:

Lets start by solving each equation:

5 + 8 = 13

When it comes to adding/subtracting negative numbers think about withdrawing and depositing money into your bank account. If you have are in debt of (missing) 9 dollars and you add 5 to your bank, you would only be 4 dollars in debt now because you paid off 5 dollars. Therefore:

-9 + 5 = -4

1 + (-8) = -7

7 + (-2) = 5

We can tell that -7 is less than -5 because it is farther away from 0 than -5. Even though -4 is smaller than -5, it is much closer to 0 than -5 making it greater than -5. So 1 + (-8) is your final answer!!

Hope this helps! (and hopefully it wasn't confusing)

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

7

step-by-step explanation: