Multiply and write your answer in scientific notation. Click Here for Help Video.

Question

Be sure to write your answer with the multiplication
×
×

(
7
×
1
0
−
3
)
(7×10
−3
) ·
(
4
×
1
0
11
)
(4×10
11
)

Answer 1

To multiply the two numbers in scientific notation \((7 \times 10^{-3})\) and \((4 \times 10^{11})\), you can follow these steps:

1. Multiply the coefficients:
   \(7 \times 4 = 28\)

2. Add the exponents:
   \(-3 + 11 = 8\)

Now, combining these results gives: \[ 28 \times 10^{8} \]

3. Convert to proper scientific notation:
   Since \(28\) is not between \(1\) and \(10\), we need to express it in proper scientific notation by writing \(28\) as \(2.8 \times 10^{1}\).

Thus, we get: \[ 28 \times 10^{8} = 2.8 \times 10^{1} \times 10^{8} \]

4. Add the exponents again: \[ 2.8 \times 10^{1 + 8} = 2.8 \times 10^{9} \]

Therefore, the final answer is: \[ \boxed{2.8 \times 10^{9}} \]