Question

solve the following.
$(4.78 \times 10^9) \times (7.24 \times 10^3)$
\\(\circ\\) a \\(3.4607 \times 10^{13}\\)
\\(\circ\\) b \\(3.4607 \times 10^{11}\\)
\\(\circ\\) c \\(3.4607 \times 10^6\\)
\\(\circ\\) d \\(3.4607 \times 10^{12}\\)
question 5 (1 point)

Explanation:

Step1: Separate coefficients and powers

$(4.78 \times 7.24) \times (10^9 \times 10^3)$

Step2: Multiply the coefficients

$4.78 \times 7.24 = 34.6072$

Step3: Multiply the powers of 10

$10^9 \times 10^3 = 10^{9+3} = 10^{12}$

Step4: Adjust to scientific notation

$34.6072 \times 10^{12} = 3.46072 \times 10^{13}$

Step5: Round to match options

$3.46072 \times 10^{13} \approx 3.4607 \times 10^{13}$

Answer:

a. $3.4607 \times 10^{13}$