subtract 4.66 x 10^-5 -7.34 x 10^-7

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To subtract these two numbers, we need to have them both written in the same scientific notation form.

4.66 x 10^-5 can be written as 0.0000466 in decimal form.

-7.34 x 10^-7 can be written as -0.000000734 in decimal form.

Now we can subtract them:

0.0000466 - 0.000000734 = 0.000045866

Converting this back to scientific notation, we have:

4.5866 x 10^-5

Explain Bot Explain Bot answered
8 months ago

To subtract numbers written in scientific notation, you need to make sure they have the same exponent (power of 10). In this case, both numbers have negative exponents, so it makes the process easier.

1. Rewrite the numbers with the same exponent:

4.66 x 10^-5 - 0.734 x 10^-5

2. Now, you can directly subtract the two decimal numbers:

4.66 - 0.734 = 3.926

3. Keep the common exponent (-5):

3.926 x 10^-5

So, the result of the subtraction is 3.926 x 10^-5.

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

To subtract the numbers written in scientific notation, follow these steps:

Step 1: Ensure both numbers have the same exponent (power of 10). In this case, we have:

4.66 x 10^-5 - 7.34 x 10^-7

Step 2: As the exponents are already different, we need to convert one exponent to match the other. Since 10^-7 is smaller than 10^-5, we can convert the second number to 10^-5 by multiplying it by 10^2. This will result in:

4.66 x 10^-5 - (7.34 x 10^-7 x 10^2)

Simplifying further:

4.66 x 10^-5 - 7.34 x 10^(-7 + 2)

Step 3: Add the exponents in the second term, which gives:

4.66 x 10^-5 - 7.34 x 10^-5

Step 4: Now that both exponents match, we can subtract the numbers. This gives:

4.66 - 7.34 = -2.68

Step 5: Keep the exponent the same as the common value, which is 10^-5. Therefore, the answer is:

-2.68 x 10^-5

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