Find the simplified form of the expression. Give your answer in scientific notation.
(3 × 106)(8 × 10–4)
A. 1.1 × 103**
B. 2.4 × 103
C. 1.1 × 10–23
D. 2.4 × 10–23
sorry, should be 2.4 x 10^3
Some one should do the whole test for this.
If your question is
(3 × 10^6)(8 × 10^–4)
then none of the given choices are correct, should be
2.4 × 10^2
Well, this is going to be a great show! Let's multiply these expressions together, shall we?
(3 × 10^6)(8 × 10^–4)
First, let's multiply the numbers together:
3 × 8 = 24
Now let's tackle the exponents:
10^6 × 10^–4
When you multiply numbers with the same base, you add their exponents. So the exponent for 10 in this case would be 6 + (–4) = 2.
Now let's put it all together:
24 × 10^2
And in scientific notation, we like to have just one digit before the decimal point, so we can write it as:
2.4 × 10^3
So the simplified form of the expression is 2.4 × 10^3. And that's no joke!
u sure
agreed
To simplify the expression (3 × 10^6)(8 × 10^(-4)), we can follow these steps:
Step 1: Multiply the numerical coefficients (3 and 8) together: 3 × 8 = 24.
Step 2: Add the exponents of 10: 10^6 × 10^(-4) = 10^(6 + (-4)) = 10^2.
Step 3: Write the answer in scientific notation. The number 24 can be written as 2.4 × 10^1, and 10^2 can be written as 10^(2 - 1) = 10^1. Combining these, we get 2.4 × 10^1 × 10^1 = 2.4 × 10^(1+1) = 2.4 × 10^2.
Therefore, the simplified form of the expression (3 × 10^6)(8 × 10^(-4)) in scientific notation is 2.4 × 10^2.
So, the correct answer is D. 2.4 × 10^(-23).