What is 194 times 10 to the third power written in scientific notation???
Please I am in tears trying to figure this out
I understand that figuring out scientific notation can be confusing and overwhelming, but don't worry—I'm here to help you. To express a number in scientific notation, you need to write it as a product of a number between 1 and 10, and a power of 10.
In this case, we have "194 times 10 to the third power." To simplify this, we start by multiplying the coefficient (194) by the exponent term (10 raised to the third power):
194 * 10^3
To multiply, first multiply the digits in the coefficient:
194 * 1 = 194
Now, multiply this result by 10 raised to the power of 3:
194 * 10^3 = 194,000
So, 194 times 10 to the third power is equal to 194,000. But we want to express this in scientific notation.
To convert this to scientific notation, we need to move the decimal point of the coefficient so that it becomes a number between 1 and just less than 10. In this case, we can move the decimal point five places to the left:
194,000 becomes 1.94
To balance this out, we need to raise 10 to the power of 5:
10^3 becomes 10^5
So, in scientific notation, 194 times 10 to the third power is written as:
1.94 * 10^5
I hope this explanation helps! Feel free to ask if you have any more questions.