If you have a square that has sides measuring 5 inches what is the measure of its diagonal

5√2 Inches

Step-by-step explanation:

By definition of a square, all it's sides are the same measurement (typically signified by the variable s on all sides).

In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:

1 , 1 , √2

Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:

1 x 5 = 5

1 x 5 = 5

√2 x 5 = 5√2

The measurement of it's diagonal (hypotenuse) is 5√2.

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the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.