Scientific Notation Unit Test

Question

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Question
Calculate 4.8×10−3−9.4×10−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)

Answer 1

To calculate 4.8×10^(-3) - 9.4×10^(-6), we need to subtract the decimal numbers and the exponents separately.

First, let's subtract the decimal numbers:
4.8 - 9.4 = -4.6

Now, let's subtract the exponents:
10^(-3) - 10^(-6) = 10^(-3-(-6)) = 10^(-3+6) = 10^3 = 1000

Putting it all together, the answer is -4.6 × 10^3.

However, we need to express the answer in scientific notation rounding to 2 decimal places. To do this, we can round -4.6 to -4.60 and rewrite it as -4.60 × 10^3.

Therefore, the answer in scientific notation rounding to 2 decimal places is -4.60 × 10^3.

Answer 2

u sure?

Answer 3

Apologies for the confusion. Let's redo the calculation.

4.8×10^(-3) - 9.4×10^(-6)

To subtract the two numbers in scientific notation, we need to make sure that the exponents are the same. In this case, we need to convert 4.8×10^(-3) to match the exponent of 9.4×10^(-6).

To do this, we'll multiply 4.8 by 10^3:

4.8×10^(-3) = 4.8×10^(-3) × 10^3 = 4.8×10^(-3+3) = 4.8×10^0 = 4.8

Now we can subtract the two numbers:

4.8 - 9.4×10^(-6)

Since we are subtracting a small number from a larger number, it will not change the decimal significantly.

Let's express the answer in scientific notation, rounding to 2 decimal places. The result is approximately -4.6 × 10^(-6).

Therefore, the corrected answer in scientific notation, rounded to 2 decimal places, is -4.60 × 10^(-6).