Evaluate. Express your answer in scientific notation.

1, point, 9, times, 10, cubed, minus, 1, point, 6, times, 10, cubed
1.9×10
3
−1.6×10
3

1 answer

To evaluate the expression \(1.9 \times 10^3 - 1.6 \times 10^3\), we can first factor out \(10^3\):

\[ 1.9 \times 10^3 - 1.6 \times 10^3 = (1.9 - 1.6) \times 10^3 \]

Now, we can perform the subtraction:

\[ 1.9 - 1.6 = 0.3 \]

Now, we substitute this result back into the expression:

\[ 0.3 \times 10^3 \]

Next, we express this in scientific notation. We can rewrite \(0.3\) as \(3.0 \times 10^{-1}\):

\[ 0.3 \times 10^3 = (3.0 \times 10^{-1}) \times 10^3 \]

When multiplying the powers of 10, we add the exponents:

\[ 3.0 \times 10^{-1 + 3} = 3.0 \times 10^2 \]

Thus, the final answer in scientific notation is:

\[ \boxed{3.0 \times 10^2} \]