Question

calculate.
$(4.4 \times 10^5)(2 \times 10^3)$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply \( 4.4 \) and \( 2 \). So, \( 4.4\times2 = 8.8 \).

Step2: Multiply the powers of 10

Use the rule \( 10^a\times10^b = 10^{a + b} \). Here, \( a = 5 \) and \( b = 3 \), so \( 10^5\times10^3=10^{5 + 3}=10^8 \).

Step3: Combine the results

Multiply the results from Step 1 and Step 2. So, \( (4.4\times10^5)(2\times10^3)=8.8\times10^8 \).

Answer:

The coefficient is \( 8.8 \) and the exponent of 10 is \( 8 \), so the answer is \( 8.8\times10^{8} \).