Question

Which of these shows an equivalency? (Scientific Notation) 1.2 x102 L = 1200 L 3.4 x 10-3 m = .00034 m 7.89 x 107 s = 78,900,000 s 5.00 x 10-5 g = .00500 g

Answer 1

Answer:

$7.89\cdot 10^7 s = 78,900,000 s$

Explanation:

Let's analyze each option:

$1.2\cdot 10^2 L$

We need to move the decimal point 2 places to the right, so

$1.2\cdot 10^2 L=120 L$

So, 1200 L is wrong.

$3.4\cdot 10^{-3} m$

We need to move the decimal point 3 places to the left, so

$3.4\cdot 10^{-3} m = 0.0034 m$

so, 0.00034 m is wrong.

$7.89\cdot 10^7 s$

We need to move the decimal point 7 places to the right, so

$7.89\cdot 10^7 s = 78,900,000 s$

so, this choice is right.

$5.00\cdot 10^{-5}g$

Moving the decimal point 5 places to the left,

$5.00\cdot 10^{-5} g = 0.00005 g$

so, 0.00500 g is wrong.