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Multiply 6.4times 10^5 by 2.5times 10^-2 and express the answer in scientific notation. 1.6times 10^-10 1.6times 10^3 16.0times 10^3 1.6times 10^4

Problemas

Multiply 6.4times 10^5 by 2.5times 10^-2 and express the answer in scientific notation.
1.6times 10^-10
1.6times 10^3
16.0times 10^3
1.6times 10^4

Multiply 6.4times 10^5 by 2.5times 10^-2 and express the answer in scientific notation. 1.6times 10^-10 1.6times 10^3 16.0times 10^3 1.6times 10^4

Solución

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Alfredoélite · Tutor durante 8 años
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4.6 (263 votos)

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To multiply $6.4\times 10^{5}$ by $2.5\times 10^{-2}$, we can first multiply the coefficients and then multiply the powers of 10.<br /><br />$6.4\times 2.5 = 16$<br /><br />$10^{5}\times 10^{-2} = 10^{5-2} = 10^{3}$<br /><br />Therefore, the product is $16\times 10^{3}$.<br /><br />To express the answer in scientific notation, we need to adjust the coefficient to be between 1 and 10. In this case, we can move the decimal point one place to the left, which gives us $1.6\times 10^{4}$.<br /><br />So, the correct answer is $1.6\times 10^{4}$.
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