What is the value of the expression in standard form?

Question

(4.8×10^(8))(2.2×10^(−6)) over (1.2×10^(4))

(2 points)
Responses

0.0058
0.0058

0.00088
0.00088

0.58
0.58

0.088

Answer 1

To solve the expression \((4.8 \times 10^{8})(2.2 \times 10^{-6}) / (1.2 \times 10^{4})\), we will multiply the numbers in the numerator and then divide by the denominator.

1. Multiply the numbers in the numerator: \[ 4.8 \times 2.2 = 10.56 \]

2. Add the exponents of \(10\): \[ 10^{8} \times 10^{-6} = 10^{8 + (-6)} = 10^{2} \]

   Thus, the numerator is: \[ 10.56 \times 10^{2} = 1056 \]

3. Now, we can write the expression: \[ \frac{1056}{1.2 \times 10^{4}} \]

4. Rewrite the denominator: \[ 1.2 \times 10^{4} = 12000 \]

5. Now divide: \[ \frac{1056}{12000} \]

6. Perform the division: \[ 1056 \div 12000 = 0.088 \]

Thus, the value of the expression in standard form is \(0.088\).

The correct response is: 0.088