Question

work out (8x10^-3)x(2x10^-4)

Answer 1

Answer:

$The expression in standard form is 1.6 \times10^{-6}1.6×10 </p><p>−6 \\ </p><p> </p><p></p><p>Given the product of scientific notations: \\ </p><p></p><p>(8 \times 10^{-3}) \times (2 \times 10^{-4})(8×10 </p><p>−3</p><p> )×(2×10 </p><p>−4</p><p> ) \\ </p><p></p><p>This can be expressed as: \\ </p><p></p><p>\begin{gathered}=(8 \times 2 ) \times (10^{-3} \times 10^{-4})\\=16 \times 10^{-3-4}\\=16\times 10^{-7}\\=1.6\times 10^1\times 10^{-7}\\=1.6 \\ \times10^{-6}\end{gathered} </p><p>=(8×2)×(10 \\ </p><p>−3</p><p> ×10 </p><p>−4</p><p> )</p><p>=16×10 </p><p>−3−4 \\ </p><p> </p><p>=16×10 </p><p>−7</p><p> </p><p>=1.6×10 </p><p>1</p><p> ×10 </p><p>−7</p><p> </p><p>=1.6×10 </p><p>−6 \\ </p><p> </p><p> </p><p> </p><p></p><p>Hence the expression in standard form is 1.6 \times10^{-6}1.6×10 </p><p>−6$

Answer 2

Answer:

first take

= (8×10^-3)

= (8×1/10^3)

= (8/1000)

= 0.008 —— 1

then take (2×10^-4)

= (2×10^-4)

= (2×1/10^4)

= (2/10,000)

= 0.0002 —— 2

multiple equation 1 and 2 [from (8×10^-3)×(2×10^-4)]

= (0.008) × (0.0002)

= 0.0000016

problem solved