Question

In the example problem, 2.4x10^6 was rewritten as 24x10^5. Explain why those expressions are equivalent.

Complex numbers
ANSWERED
asked 2021-01-17
In the example problem, \(\displaystyle{2.4}{x}{10}^{{6}}\) was rewritten as \(\displaystyle{24}{x}{10}^{{5}}\). Explain why those expressions are equivalent.

Answers (1)

2021-01-18
\(\displaystyle{2.4}={\left(\frac{{24}}{{10}}\right)}\) thus
\(\displaystyle{2.4}{x}{\left({10}\right)}^{{6}}={\left(\frac{{24}}{{10}}\right)}{x}{\left({10}\right)}^{{6}}={24}{x}{\left(\frac{{\left({10}\right)}^{{6}}}{{10}}\right)}={24}{x}{\left({10}\right)}^{{{6}-{1}}}={24}{x}{\left({10}\right)}^{{5}}\)
0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-05-22
Sheila is in Ms. Cai's class . She noticed that the graph of the perimeter for the "dented square" in problem 3-61 was a line . "I wonder what the graph of its area looks like ," she said to her teammates .
a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square.
b. On graph paper , graph the rule you found for the area in part (a). Why does a 1st−quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary.
c. Explain to Sheila what the graph of the area looks like.
d. Use the graph to approximate xx when the area of the shape is 20 square units.
asked 2021-05-05
If John, Trey, and Miles want to know how’ | many two-letter secret codes there are that don't have a repeated letter. For example, they want to : count BA and AB, but they don't want to count“ doubles such as ZZ or XX. Jobn says there are 26 + 25 because you don’t want to use the same letter twice; that’s why the second number is 25.
‘Trey says he thinks it should be times, not plus: 26-25, Miles says the number is 26-26 ~ 26 because you need to take away the double letters. Discuss the boys’ ideas, Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing ‘on this section’s definition of multiptication.. -
asked 2021-02-02
The exponential expression \(\displaystyle{2}^{{8}}\) has a value of 256. Write two other exponential expressions that have a value of 256. Explain how you got your answers. (Begin by writing out \(\displaystyle{2}^{{8}}\) as the product of 2s.)
asked 2021-05-09
State any restrictions on the variable in the complex fraction. \(\displaystyle{\frac{{{\frac{{{x}-{4}}}{{{x}+{4}}}}}}{{{\frac{{{x}^{{{2}}}-{1}}}{{{x}}}}}}}\)
asked 2021-05-29
Complex number in rectangular form What is (1+2j) + (1+3j)? Your answer should contain three significant figures.
asked 2021-05-08

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.
\(\int_{0}^{3}\sin(x^{2})dx=\int_{0}^{5}\sin(x^{2})dx+\int_{5}^{3}\sin(x^{2})dx\)

asked 2020-11-08
Adam starts with the number z=1+2i on the complex plane. First, he dilates z by factor of 2 about the origin. Then, he reflects it across the real axis. Finally, he rotates it \(\displaystyle{90}^{\circ}\) counterclockwise about the origin. The resulting complex number can be written in form a+bi where a and b are real numers. What is the resukring complex number?
asked 2021-02-09
How to add complex numbers. Provide an example with your explanation.
asked 2021-06-06

The problem is called self-answering problems because the answers are embedded in the question. For example, how many ways can you arrange the letters in the word “six”? The answer is six. At time t=0, water begins pouring into an empty sink so that the volume of water is changing at a rate V′(t)=cos t. For time t=k, where \(0\leq k\leq \pi/2\)

asked 2021-05-29
Give an example of a modeling problem where you are minimizing the cost of the material in a cylindrical can of volume 250 cubic centimeters.
...