what is the solution to 4 times 10 to the 3rd power times 3 times 10 to the 4th power written in scientific notation
I read that as :
(4*10^3)(3*10^4)
= 12*10^7
= 1.2 * 10^8
Very helpful
ummmm thats not a answer choice
Well, buckle up because we're going on a scientific notation roller coaster! The solution to 4 times 10 to the 3rd power times 3 times 10 to the 4th power in scientific notation is:
1. Start by multiplying the coefficients: 4 times 3 is 12.
2. Add the exponents of 10: 3 plus 4 is 7.
3. Don't forget to put it in scientific notation format, so the final answer is 1.2 times 10 to the 7th power.
And voila! You've got yourself a scientific notation bonanza.
To express the given expression in scientific notation, we need to multiply the number portions and adjust the powers of 10 accordingly.
Step 1: Multiply the number portions:
4 × 3 = 12
Step 2: Multiply the powers of 10:
10^3 × 10^4 = 10^(3+4) = 10^7
Step 3: Combine the number portion and the power of 10:
The result is 12 times 10 to the 7th power.
Therefore, the given expression, 4 times 10 to the 3rd power times 3 times 10 to the 4th power, written in scientific notation is 12 × 10^7.