Math  /  Numbers & Operations

QuestionExpress the product and the quotients of the following with the appropriate number of sig figs: 1) (3.56×105)(4.21×106)=\left(3.56 \times 10^{5}\right)\left(4.21 \times 10^{6}\right)= 2) (2×107)(8×109)=\left(2 \times 10^{7}\right)\left(8 \times 10^{-9}\right)= 3) (4.11×105)(7.51×104)=\left(4.11 \times 10^{-5}\right)\left(7.51 \times 10^{-4}\right)= 4) 8.45×107/6.74×103=8.45 \times 10^{7} / 6.74 \times 10^{3}= 5) 9.7×108/8.6×102=9.7 \times 10^{8} / 8.6 \times 10^{-2}= 6) 4.7×102/5.7×106=4.7 \times 10^{-2} / 5.7 \times 10^{-6}=

Studdy Solution
Combine the results:
4.7×1025.7×106=8.2×102 \frac{4.7 \times 10^{-2}}{5.7 \times 10^{-6}} = 8.2 \times 10^{2}
Solution Summary: 1) (3.56×105)(4.21×106)=1.50×1012(3.56 \times 10^{5})(4.21 \times 10^{6}) = 1.50 \times 10^{12} 2) (2×107)(8×109)=2×101(2 \times 10^{7})(8 \times 10^{-9}) = 2 \times 10^{-1} 3) (4.11×105)(7.51×104)=3.09×108(4.11 \times 10^{-5})(7.51 \times 10^{-4}) = 3.09 \times 10^{-8} 4) 8.45×1076.74×103=1.25×104\frac{8.45 \times 10^{7}}{6.74 \times 10^{3}} = 1.25 \times 10^{4} 5) 9.7×1088.6×102=1.1×1010\frac{9.7 \times 10^{8}}{8.6 \times 10^{-2}} = 1.1 \times 10^{10} 6) 4.7×1025.7×106=8.2×102\frac{4.7 \times 10^{-2}}{5.7 \times 10^{-6}} = 8.2 \times 10^{2}

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