add 3.2 x 10^4 + 1.95 x 10^6 in scientific notation

1 answer

To add 3.2 x 10^4 and 1.95 x 10^6 in scientific notation, we need to make sure that both numbers have the same exponent.

First, we can convert 3.2 x 10^4 to scientific notation by moving the decimal point 4 places to the right, resulting in 3.2 x 10^4 = 32000.

Now, both numbers have the same exponent of 10^4, so we can add them together:

32000 + 1.95 x 10^6 = 1.95 x 10^6 + 3.2 x 10^4

Next, we can combine the coefficients:

1.95 + 0.032 = 1.982

Lastly, we write the result in scientific notation by placing the decimal point after the first non-zero digit and adjusting the exponent accordingly:

1.982 x 10^6

So, 3.2 x 10^4 + 1.95 x 10^6 in scientific notation is 1.982 x 10^6.
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