Question

calculate.
$(4 \times 10^6)(2.2 \times 10^4)$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 2.2. So, \(4\times2.2 = 8.8\).

Step2: Add the exponents of 10

For numbers in scientific notation \(a\times10^m\) and \(b\times10^n\), when multiplying, we add the exponents: \(10^6\times10^4=10^{6 + 4}=10^{10}\).

Step3: Combine the results

Combine the coefficient and the power of 10: \(8.8\times10^{10}\).

Answer:

The coefficient is \(8.8\) and the exponent of 10 is \(10\), so the answer is \(8.8\times10^{10}\). Filling in the boxes, the first box (for the coefficient) is \(8.8\) and the second box (for the exponent) is \(10\).