Question

① (0.9×10⁴)(1.14×10⁷) ② (1.12×10⁻⁵)(3×10⁷)

Explanation:

Step1: Multiply the coefficients

$0.9\times1.14 = 1.026$

Step2: Multiply the powers of 10

$10^{4}\times10^{7}=10^{4 + 7}=10^{11}$

Step3: Combine the results

$(0.9\times10^{4})(1.14\times10^{7})=1.026\times10^{11}$

Step4: For the second - part, multiply the coefficients

$1.12\times3 = 3.36$

Step5: Multiply the powers of 10

$10^{- 5}\times10^{7}=10^{-5 + 7}=10^{2}$

Step6: Combine the results

$(1.12\times10^{-5})(3\times10^{7})=3.36\times10^{2}$

Answer:

$(0.9\times10^{4})(1.14\times10^{7}) = 1.026\times10^{11}$; $(1.12\times10^{-5})(3\times10^{7})=3.36\times10^{2}$