Math

QuestionCalculate 6.36×1035.8×1016.36 \times 10^{3} - 5.8 \times 10^{-1}.

Studdy Solution

STEP 1

Assumptions1. The problem involves two numbers in scientific notation 6.36×1036.36 \times10^{3} and 5.8×1015.8 \times10^{-1}. . The operation to be performed is subtraction.

STEP 2

First, let's convert these numbers from scientific notation to standard notation.The number 6.36×106.36 \times10^{} in standard notation is6.36×10=6.36×10006.36 \times10^{} =6.36 \times1000

STEP 3

Calculate the value of 6.36×10006.36 \times1000.
6.36×1000=63606.36 \times1000 =6360

STEP 4

Now, let's convert the number .8×101.8 \times10^{-1} from scientific notation to standard notation.
The number .8×101.8 \times10^{-1} in standard notation is.8×101=.8×0.1.8 \times10^{-1} =.8 \times0.1

STEP 5

Calculate the value of 5.8×0.15.8 \times0.1.
5.8×0.1=0.585.8 \times0.1 =0.58

STEP 6

Now that we have both numbers in standard notation, we can perform the subtraction.
63600.586360 -0.58

STEP 7

Calculate the result of the subtraction.
63600.58=6359.426360 -0.58 =6359.42The result of the operation 6.36×1035.×1016.36 \times10^{3}-5. \times10^{-1} is 6359.426359.42.

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