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

9 answers

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
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