Answer all parts of the question:
a. Write the following number in scientific notation: 0.03054 grams
b. Write the following in ordinary notation: 3.02 x 10-5
c. Evaluate the following: (3.3 x 10-4mL) = (1.1 x 10-6 mL)

Answers

Answer 1

Answer:

a. 0.03054 b. 0.000032 c. sorry I am not perfect

Explanation:

a. In the number 0.03054 , you need to move the decimal point two places to the right to get to 3.054 (which is between 1 and 10). Since you moved the decimal point two places to the right, you must indicate it by saying that you multiplied 3.054 by 10−2 . Think about it: 3.054×10−2=0.03054 . b. Answer: 0.0000302 Step-by-step explanation: When 10 is to the power of a negative number, "move" the decimal dot left. 10⁻⁵ means to "move" the decimal 5 times to the left. 1. Write a bunch of extra 0's for the coefficient. (The coefficient is 3.02). 0000003 . 02 2. Count 5 place values over. 00←0←0←0←0←3 . 02 3. Put the decimal behind the digit. 00 . 0000302 4. Get rid of the 0s that you don't need. You only need one 0 left of the decimal. 0.0000302           <= Final answer c. sorry but I am not perfect at this

Answer 2

A. 0.03054 grams = 3.054 x [tex]10^-^2[/tex] grams

B. 3.02 x [tex]10^-^5[/tex] = 0.0000302

C. 3.3 x [tex]10^-^4[/tex] mL= 300

Powers of 10 are used in scientific notation to express extremely large or extremely small quantities. The formula is "[tex]\rm a * 10^b[/tex],"

where "a" is an integer representing a value between 1 and 10 (inclusive), and "b" is an integer representing a power of 10.

To write 0.03054 grams in scientific notation, we move the decimal point three places to the right to make the number between 1 and 10. this results in:

0.03054 grams = 3.054 x [tex]10^-^2[/tex] grams

To write [tex]3.02 * 10^-^5[/tex] in conventional notation, as indicated by the exponent, we move the decimal point five places to the left. this results in:

3.02 x [tex]10^-^5[/tex] = 0.0000302

To evaluate (3.3 x [tex]10^-^4[/tex] mL) / (1.1 x [tex]10^-^6[/tex] mL), we divide the numbers in the numerator and denominator:

[tex](3.3 * 10^-^4 \rm mL) / (1.1 * 10^-^6 \rm mL) \\= (3.3 / 1.1) * (10^-^4 / 10^-^6) \\= 3 * 10^2[/tex]

Therefore, (3.3 x [tex]10^-^4[/tex] mL) is equal to 300.

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