for what value of b will 6x10^3 be 20 times larger than b x 10^2
A.2
B.3
C.4
D.5
To find the value of b, we can set up the equation:
6x10^3 = 20(b x 10^2)
Divide both sides of the equation by 20:
6x10^3 / 20 = b x 10^2
Simplify:
300 = b x 10^2
Divide both sides of the equation by 10^2:
300 / 10^2 = b
300 / 100 = b
3 = b
Therefore, the value of b is 3.
The answer is B. 3.
what is 0.000025437 in scientific notation
To convert 0.000025437 to scientific notation, we need to move the decimal point 5 places to the right until there is only one digit to the left of the decimal point.
0.000025437 = 2.5437 x 10^(-5)
Therefore, in scientific notation, 0.000025437 is written as 2.5437 x 10^(-5).
1.5x10^7 in decimal notation
To convert 1.5x10^7 to decimal notation, we simply multiply the coefficient (1.5) by 10 raised to the power of the exponent (7):
1.5 x 10^7 = 15,000,000
Therefore, 1.5x10^7 in decimal notation is 15,000,000.
place the numbers in descending order
4.3x10^-5; 6.4x10^-6; 4.3x10^-6; 6.4x10^-4
Let's rewrite the numbers in standard decimal form to compare them:
4.3x10^-5 = 0.000043
6.4x10^-6 = 0.0000064
4.3x10^-6 = 0.0000043
6.4x10^-4 = 0.00064
Now, we can arrange them in descending order:
0.00064 > 0.000043 > 0.0000043 > 0.0000064
Therefore, in descending order, the numbers are: 6.4x10^-4, 4.3x10^-5, 4.3x10^-6, 6.4x10^-6.
the average plate tectonic plate moves at the rate of 0.006 meter per year how many meters would it move in 3x10^6 years write in the scientific notation expressed to the exact decimal place
To find how many meters the average tectonic plate would move in 3x10^6 years, we can multiply the rate of movement (0.006 meters per year) by the number of years (3x10^6).
(0.006 m/year) * (3x10^6 years) = 18x10^3 meters
To express this result in scientific notation with the exact decimal place, we can write it as:
1.8x10^4 meters
To find the value of b, we can set up an equation based on the given information and then solve for b.
Given:
6x10^3 = 20 * b x 10^2
First, let's simplify the equation:
6x10^3 = 20 * b x 10^2
6x10^3 = 20bx10^2
6x10^3 = 200bx10^2 (applying multiplication property of exponents)
Now, let's divide both sides of the equation by 10^2 to isolate the variable:
(6x10^3) / (10^2) = (200b x 10^2) / (10^2)
6x10^(3-2) = 200b x (10^2/10^2)
6x10^1 = 200b x 1 (10^2/10^2 equals to 1)
Simplifying further:
6x10 = 200b
Now, divide both sides of the equation by 6 to solve for b:
(6x10) / 6 = 200b / 6
10 = 200b / 6
To isolate b, we need to multiply both sides of the equation by 6/200:
10 x (6/200) = (200b / 6) x (6/200)
(6/20) = b
Therefore, b = 6/20 = 0.3.
So, the value of b that makes 6x10^3 twenty times larger than b x 10^2 is 0.3.
Therefore, the correct answer is B. 3.