How do i express numbers in scientific notation (ex: 0.0056, 952, 0.017)

0.0056 = 5.6 × 10^-3

952 = 9.52 × 10^2

0.017 = 1.7 × 10^-2

Step-by-step explanation:

To figure out the power of 952, think "how many places do I move the decimal point?"

(also the number before the exponent is always 10)

Step-by-step: 0.0056 is written 5.6 × 10-3

The number is smaller than 1, so you're moving the decimal point right.

The exponent is how many times you moved the decimal point to get to a whole number, so the exponent will be -3,

Because you move the decimal point 3 times (right, so it will be negative) to get to a whole number (5.6)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

angle efh= angle egh