Which of the following expressions represents the distance between \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction and 222? Choose 1 Choose 1 (Choice A) A \left| \dfrac{3}{4}-2\right| ∣ ∣ ∣ ∣ ∣ 4 3 −2 ∣ ∣ ∣ ∣ ∣ open vertical bar, start fraction, 3, divided by, 4, end fraction, minus, 2, close vertical bar (Choice B) B \left| 2-\left(-\dfrac{3}{4}\right)\right| ∣ ∣ ∣ ∣ ∣ 2−(− 4 3 ) ∣ ∣ ∣ ∣ ∣ open vertical bar, 2, minus, left parenthesis, minus, start fraction, 3, divided by, 4, end fraction, right parenthesis, close vertical bar (Choice C) C None of the above

answer: b.

step-by-step explanation:

it is b. cause the equations are put in the right category

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.

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%