7. what is the solution to (3×10^2)x(5×10^5) written in scientific notation? (1 point)
a-1.5x10^8
b-15x10^8**
c-1.5x10^7
d-15x10^7
HELP PLS
the commutative property says that
(3×10^2)x(5×10^5) = (3*5)×(10^2 * 10^5) = 15×10^7
but that is not yet quite scientific notation. A is the right choice.
To find the solution to (3×10^2)×(5×10^5) in scientific notation, we can use the following steps:
Step 1: Multiply the coefficients (3×5 = 15).
Step 2: Add the exponents (2+5 = 7).
The solution in scientific notation will be 15×10^7.
Therefore, the correct answer is d) 15×10^7.
To find the solution to the given expression in scientific notation, we need to multiply the numbers and the exponents separately and then combine them.
First, multiply the numbers: 3 x 5 = 15.
Next, multiply the exponents: (10^2) x (10^5) = 10^(2+5) = 10^7.
Finally, combine the multiplied numbers and the multiplied exponents to form the solution in scientific notation: 15 x 10^7.
Comparing the options provided:
a- 1.5 x 10^8 (incorrect - the number is 15, not 1.5)
b- 15 x 10^8 (correct)
c- 1.5 x 10^7 (incorrect - the number is 15, not 1.5)
d- 15 x 10^7 (incorrect - the exponent should be 8, not 7)
So, the correct answer is option b- 15 x 10^8.