Which list is in order from least to greatest? a) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 b) 2.5 *10^3, 7 * 10^3, 9.25 * 10^-6, 9.4 * 10^-8. c) 9.25 * 10^-6, 9.4 * 10^-8, 7 * 10^3, 2.5 * 10^3 d) 9.4 * 10^-8, 9.25 * 10^-6, 7 * 10^3, 2.5 * 10^3

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

The correct choice is A.

Option A.

Step-by-step explanation:

The given numbers are .

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

= 0.000000094

= 0.00000925

= 2500

= 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

Option A. is the answer.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: