(6.0 x 10^5) x (3.0 x 10^4)=
A. 18 x 10^20
B. 18 x 10^9
C. 1.8 x 10^20
D. 1.8 x 10^10
2. (5 x 10^-2) divided by
(2 x 10^3) =
A. 2.5 x 10^-5
B. 2.5 x 10^-1
C. 25 x 10^1
D. 25 x 10^2
3. (2.56 x 10^6) times
(3.56 x 10^2)=
A. 9.1136 x 10^12
B. 91.138 x 10^8
C. 9.1136 x 10^8
D. 91.136 x 10^12
4. In a reacent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What is the average number of people per square kilometer?
A. 0.62 x 10^5
B. 6.2 x 10^1
C. 0.62 x 10^14
D. 6.2 x 10^9
Please help!!!
7 years and nothing
To get the answer to these questions, we can use the rules of scientific notation.
1. To multiply numbers in scientific notation, you can multiply the coefficients and add the exponents.
So, (6.0 x 10^5) x (3.0 x 10^4) = (6.0 x 3.0) x (10^5 x 10^4) = 18 x 10^(5+4) = 18 x 10^9.
Therefore, the answer is B. 18 x 10^9.
2. To divide numbers in scientific notation, you can divide the coefficients and subtract the exponents.
So, (5 x 10^-2) divided by (2 x 10^3) = (5 divided by 2) x (10^-2 / 10^3) = 2.5 x 10^(-2-3) = 2.5 x 10^-5.
Therefore, the answer is A. 2.5 x 10^-5.
3. To multiply numbers in scientific notation, you can multiply the coefficients and add the exponents.
So, (2.56 x 10^6) times (3.56 x 10^2) = (2.56 x 3.56) x (10^6 x 10^2) = 9.1136 x 10^(6+2) = 9.1136 x 10^8.
Therefore, the answer is C. 9.1136 x 10^8.
4. To find the average number of people per square kilometer, we need to divide the population by the land area.
So, (2.52 x 10^7) / (4.05 x 10^5) = (2.52 / 4.05) x (10^7 / 10^5) = 0.62 x 10^(7-5) = 0.62 x 10^2.
Therefore, the answer is B. 6.2 x 10^1.
I hope this helps! Let me know if you have any further questions.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
When multiplying/dividing numbers with exponents, the exponents are added/subtracted respectively.