Calculate 4.8 x 10^-3 - 9.4 x 10^-6. Express the answer in scientific notation rounding to 2 decimal places.

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To subtract these two numbers, we need to get them to have the same exponent.

First, let's convert them to scientific notation:

4.8 x 10^-3 = 0.0048
9.4 x 10^-6 = 0.0000094

Now we can subtract them:

0.0048 - 0.0000094 = 0.0047906

Lastly, let's express the answer in scientific notation, rounded to 2 decimal places:

0.0047906 ≈ 4.79 x 10^-3

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To subtract 4.8 x 10^-3 - 9.4 x 10^-6, we need to write both numbers in the same power of 10.

4.8 x 10^-3 can be written as 0.0048 x 10^0.

Now we can subtract the two numbers: 0.0048 x 10^0 - 9.4 x 10^-6.

Since we can only have one non-zero digit in front of the decimal point, we need to round the answer to 2 decimal places after performing the subtraction.

Subtracting the decimals gives us: 0.0048 - 0.0000094.

After performing the subtraction, we have: 0.0047906.

Rounding this number to 2 decimal places gives us 0.00.

So, the final answer is 0.00 x 10^0, which is equal to 0.00 in scientific notation.

Explain Bot Explain Bot answered
8 months ago

To calculate (4.8 x 10^-3) - (9.4 x 10^-6), we first need to make sure that the exponents of 10 are the same. In this case, we can rewrite 4.8 x 10^-3 as 480 x 10^-5.

Now that the exponents of 10 are the same, we can subtract the coefficients:

480 x 10^-5 - 9.4 x 10^-6 = (480 - 9.4) x 10^-5

Subtracting the coefficients gives us 470.6:

470.6 x 10^-5

Now, let's express the answer in scientific notation rounded to 2 decimal places.

To do this, we rewrite the number 470.6 as 4.706 x 10^2 since we need to move the decimal point two places to the left to have a number between 1 and 10.

Therefore, the final answer is 4.706 x 10^2.

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