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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 794 X 103 669 X 104 class=

Sagot :

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:

[tex]\begin{gathered} 7.94\times10^{-3}=7.94\operatorname{\times}10*10^{-4} \\ =79.4\operatorname{\times}10^{-4} \end{gathered}[/tex]

Step 02: Solve the subtraction.

To solve the subtraction, subtract the decimals.

[tex]\begin{gathered} 79.4\operatorname{\times}10^{-4}-6.69\operatorname{\times}10^{-4} \\ =(79.4-6.69)\operatorname{\times}10^{-4} \\ =72.71\operatorname{\times}10^{-4} \end{gathered}[/tex]

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.

[tex]\begin{gathered} \frac{72.71}{10}\times10^{-4}\times10 \\ 7.271\times10^{-4+1} \\ 7.271\times10^{-3} \end{gathered}[/tex]

Answer:

[tex]7.271\cdot10^{-3}[/tex]