Simplify: (7×10^(-13))-(4.2 ×10^(-15)). Choose 1 answer: 6.958 ×10^(-15) 2.8 ×10^(-15) 6.58 ×10^(-13) 2.8 ×10^(-13)

Express with same exponent: First, we need to express both numbers with the same exponent for 10 to simplify the subtraction. We have 7×10^(-13) and 4.2×10^(-15). To combine these, we can convert 4.2×10^(-15) to a term with 10^(-13) as its base. To do this, we recognize that 10^(-15) is 10^(-13) times 10^(-2). So, 4.2×10^(-15) = 4.2×(10^(-13)×10^(-2)) = 4.2×10^(-13)×10^(-2). Now we need to adjust the coefficient from 4.2 to account for the 10^(-2) factor. 4.2×10^(-2) = 0.042. So, 4.2×10^(-15) can be rewritten as 0.042×10^(-13).Combine numbers: Now we have both terms with the same power of 10: 7×10^(-13) and 0.042×10^(-13). We can now subtract the second term from the first term: (7×10^(-13)) - (0.042×10^(-13)) = (7 - 0.042)×10^(-13).Perform subtraction: Perform the subtraction of the coefficients: 7 - 0.042 = 6.958. So, (7×10^(-13)) - (0.042×10^(-13)) = 6.958×10^(-13).

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Simplify: $\newline$ $(7\times10^{-13})-(4.2 \times10^{-15})$ . $\newline$ Choose 1 answer: $\newline$ $6.958 \times10^{-15}$ $\newline$ $2.8 \times10^{-15}$ $\newline$ $6.58 \times10^{-13}$ $\newline$ $2.8 \times10^{-13}$

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Algebra 2

Divide polynomials using long division

Full solution

Q. Simplify:

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(7\times10^{-13})-(4.2 \times10^{-15})

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Choose 1 answer:

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6.958 \times10^{-15}

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2.8 \times10^{-15}

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6.58 \times10^{-13}

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2.8 \times10^{-13}

Express with same exponent: First, we need to express both numbers with the same exponent for $10$ to simplify the subtraction. $\newline$ We have $7\times10^{-13}$ and $4.2\times10^{-15}$ . To combine these, we can convert $4.2\times10^{-15}$ to a term with $10^{-13}$ as its base. $\newline$ To do this, we recognize that $10^{-15}$ is $10^{-13}$ times $10^{-2}$ . $\newline$ So, $4.2\times10^{-15} = 4.2\times(10^{-13}\times10^{-2}) = 4.2\times10^{-13}\times10^{-2}$ . $\newline$ Now we need to adjust the coefficient from $4.2$ to account for the $10^{-2}$ factor. $\newline$ $7\times10^{-13}$ $1$ . $\newline$ So, $4.2\times10^{-15}$ can be rewritten as $7\times10^{-13}$ $3$ .
Combine numbers: Now we have both terms with the same power of $10$ : $7\times10^{-13}$ and $0.042\times10^{-13}$ . We can now subtract the second term from the first term: $(7\times10^{-13}) - (0.042\times10^{-13}) = (7 - 0.042)\times10^{-13}$ .
Perform subtraction: Perform the subtraction of the coefficients: $\newline$ $7 - 0.042 = 6.958$ . $\newline$ So, $(7\times10^{-13}) - (0.042\times10^{-13}) = 6.958\times10^{-13}$ .