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Evaluate. Express your answer in scientific notation. 7.94 x 10^-3 6.69 x 10^-4

Evaluate. Express your answer in scientific notation. 7.94 x 10^-3 6.69 x 10^-4-example-1
User CFreitas
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1 Answer

1 vote

To solve this question, follow the steps below.

Step 01: Write the numbers to have the same powers.

To do it, choose one number to transform.

Let's choose the number with the greaters power (10⁻³).

To write it with the power -4, multiply 7.94 by 10:


\begin{gathered} 7.94*10^(-3)=7.94\operatorname{*}10*10^(-4) \\ =79.4\operatorname{*}10^(-4) \end{gathered}

Step 02: Solve the subtraction.

To solve the subtraction, subtract the decimals.


\begin{gathered} 79.4\operatorname{*}10^(-4)-6.69\operatorname{*}10^(-4) \\ =(79.4-6.69)\operatorname{*}10^(-4) \\ =72.71\operatorname{*}10^(-4) \end{gathered}

Step 03: Rewrite the number in scientific notation.

For a number in scientic notation a x 10ᵇ, 1 ≤ |a| < 10.

Then, divide 72.71 by 10 and multiply the exponent part by 10.


\begin{gathered} (72.71)/(10)*10^(-4)*10 \\ 7.271*10^(-4+1) \\ 7.271*10^(-3) \end{gathered}

Answer:


7.271\cdot10^(-3)

User Stamatis
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