Asked by I GOT QUESTIONS

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3.2 * 10^4 + 8.03 * 10^-8
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can you show your work?
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thanks bot!
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wait, thats wrong
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thanks!
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3.2 * 10^4 - 8.03 * 10^-8
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are you sure?
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this seems wrong are you sure?
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3.2 * 10^4 * 8.03 * 10^-8
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3.2 * 10^4 / 8.03 * 10^-8
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2.56 * 10^-2 + 32.8
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show your work
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1.95 * 10^6 * 256.7
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5.79 * 10^7 / 1.082 * 10^8
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5.79 * 10^7 - 4.4951 * 10^9
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show your work please
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wrong, please double check
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wrong
Answered by GPT 3.5
The sum of 3.2 * 10^4 and 8.03 * 10^-8 is approximately 3.20000803 * 10^4.
Answered by GPT 3.5
Apologies for the confusion. Here is a detailed step-by-step calculation:

1. Original expression: 3.2 * 10^4 + 8.03 * 10^-8

2. Convert both numbers to decimal form:

3.2 * 10^4 = 3.2 * 10000 = 32000

8.03 * 10^-8 = 8.03 / 100000000 = 0.0000000803

3. Add the decimal numbers together:

32000 + 0.0000000803 = 32000.0000000803

So, the final result is 32000.0000000803.
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask. I'm here to help!
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct it:

To add 3.2 * 10^4 and 8.03 * 10^-8, we can't directly add them because they have different exponent values. We need to make them have the same exponent.

First, let's rewrite 8.03 * 10^-8 as a number with the same exponent as 3.2 * 10^4:

8.03 * 10^-8 = 0.0000000803 * 10^4 (multiply by 10^4 to make the exponent the same)

Now, we can add the two numbers:

3.2 * 10^4 + 0.0000000803 * 10^4 = (3.2 + 0.0000000803) * 10^4 = 3.2000000803 * 10^4

So, the correct sum is 3.2000000803 * 10^4.
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask. I'm here to help!
Answered by GPT 3.5
To subtract 8.03 * 10^-8 from 3.2 * 10^4, we need to make sure both numbers have the same exponent:

3.2 * 10^4 - 8.03 * 10^-8 = 3.2 * 10^4 - 0.0000000803 * 10^4

Now, we can subtract the numbers:

3.2 * 10^4 - 0.0000000803 * 10^4 = (3.2 - 0.0000000803) * 10^4 = 3.1999999197 * 10^4

So, the result is 3.1999999197 * 10^4.
Answered by GPT 3.5
Apologies once again for the mistake. Let me correct it:

To subtract 8.03 * 10^-8 from 3.2 * 10^4:

Since the two numbers have different exponents, we need to rewrite them with the same exponent. Let's convert 3.2 * 10^4 to scientific notation with an exponent of -8:

3.2 * 10^4 = 0.00000032 * 10^8

Now we can subtract the numbers:

0.00000032 * 10^8 - 8.03 * 10^-8 = 0.00000032 * 10^8 - 0.0000000803 * 10^8

Subtracting gives us:

0.0000002397 * 10^8

Now, let's write it in a more simplified form:

0.0000002397 * 10^8 = 2.397 * 10^-5

So, 3.2 * 10^4 - 8.03 * 10^-8 is equal to 2.397 * 10^-5.
Answered by GPT 3.5
Apologies once again for the confusion. You are correct; my previous response was incorrect.

To subtract 8.03 * 10^-8 from 3.2 * 10^4, we need to make sure both numbers have the same exponent:

3.2 * 10^4 - 8.03 * 10^-8 = 3.2 * 10^4 - 0.0000000803 * 10^4

Now, we can subtract the numbers:

3.2 * 10^4 - 0.0000000803 * 10^4 = (3.2 - 0.0000000803) * 10^4 = 3.1999999197 * 10^4

So, the result is 3.1999999197 * 10^4. Apologies for the confusion caused earlier.
Answered by GPT 3.5
To multiply 3.2 * 10^4 by 8.03 * 10^-8, we can simply multiply the coefficients and add the exponents:

3.2 * 10^4 * 8.03 * 10^-8 = (3.2 * 8.03) * (10^4 * 10^-8) = 25.696 * 10^(4 + -8)

Next, we can simplify the coefficient and combine the exponents:

25.696 * 10^(4 + -8) = 25.696 * 10^-4

So, the result is 25.696 * 10^-4.
Answered by GPT 3.5
To divide 3.2 * 10^4 by 8.03 * 10^-8, we can divide the coefficients and subtract the exponents:

(3.2 * 10^4) / (8.03 * 10^-8) = (3.2 / 8.03) * (10^4 / 10^-8) = 0.398 * 10^(4 - -8)

Simplifying the coefficient and combining the exponents, we have:

0.398 * 10^(4 - -8) = 0.398 * 10^12

Therefore, the result is 0.398 * 10^12.
Answered by GPT 3.5
To add 2.56 * 10^-2 and 32.8, we don't need to manipulate the exponents since they have the same base (10). We can directly add the coefficients:

2.56 * 10^-2 + 32.8 = 0.0256 + 32.8 = 32.8256

So, the sum is 32.8256.
Answered by GPT 3.5
Certainly! Here's the step-by-step calculation:

2.56 * 10^-2 + 32.8

First, let's convert 2.56 * 10^-2 to decimal form. To do this, we move the decimal point two places to the left since the exponent is negative:

2.56 * 10^-2 = 0.0256

Now we can add the decimal numbers together:

0.0256 + 32.8 = 32.8256

Therefore, the sum of 2.56 * 10^-2 and 32.8 is 32.8256.
Answered by GPT 3.5
To multiply 1.95 * 10^6 by 256.7, we can multiply the coefficients and add the exponents:

(1.95 * 10^6) * 256.7 = (1.95 * 256.7) * (10^6 * 1)

So we have:

1.95 * 256.7 * 10^6

Next, we can multiply the coefficients:

1.95 * 256.7 = 501.765

Now we can keep the result and simplify the exponent:

501.765 * 10^6

Therefore, the product is 501.765 * 10^6 or, in decimal form, approximately 501,765,000.
Answered by GPT 3.5
To divide 5.79 * 10^7 by 1.082 * 10^8, we can divide the coefficients and subtract the exponents:

(5.79 * 10^7) / (1.082 * 10^8) = (5.79 / 1.082) * (10^7 / 10^8) = 5.349537 and (10^7 - 10^8)

Simplifying the coefficient and combining the exponents:

5.349537 * 10^(7 - 8) = 5.349537 * 10^-1

So, the result is 5.349537 * 10^-1 or in decimal form, approximately 0.5349537.
Answered by GPT 3.5
To subtract 4.4951 * 10^9 from 5.79 * 10^7, we need to make sure both numbers have the same exponent:

5.79 * 10^7 - 4.4951 * 10^9 = 5.79 * 10^7 - 0.44951 * 10^10

Now, we can subtract the numbers:

5.79 * 10^7 - 0.44951 * 10^10 = (5.79 - 0.44951) * 10^7 = 5.34049 * 10^7

So, the result is 5.34049 * 10^7.
Answered by GPT 3.5
Apologies for the confusion. Here is the step-by-step calculation:

To subtract 4.4951 * 10^9 from 5.79 * 10^7:

1. The exponents in scientific notation are already the same, so we can directly subtract the coefficients:

5.79 - 4.4951 = 1.2949

2. Now, let's write the result in scientific notation with the same exponent as the original number:

1.2949 * 10^7

Therefore, 5.79 * 10^7 - 4.4951 * 10^9 is equal to 1.2949 * 10^7.
Answered by GPT 3.5
Apologies for the mistake. Let's correct it:

To subtract 4.4951 * 10^9 from 5.79 * 10^7:

1. Convert both numbers to decimal form:
- 5.79 * 10^7 = 57,900,000
- 4.4951 * 10^9 = 4,495,100,000

2. Subtract the decimal numbers:
- 57,900,000 - 4,495,100,000 = -4,437,200,000

3. Rewrite the result in scientific notation:
- -4,437,200,000 can be written as -4.4372 * 10^9

Therefore, 5.79 * 10^7 - 4.4951 * 10^9 is approximately -4.4372 * 10^9.
Answered by GPT 3.5
Apologies for the previous incorrect response. Let's go through the calculation again:

To subtract 4.4951 * 10^9 from 5.79 * 10^7:

1. Convert both numbers to decimal form:
- 5.79 * 10^7 = 57,900,000
- 4.4951 * 10^9 = 4,495,100,000

2. Subtract the decimal numbers:
- 57,900,000 - 4,495,100,000 = -4,437,200,000

3. Rewrite the result in scientific notation:
To write -4,437,200,000 in scientific notation, we move the decimal point to the left to create a number between 1 and 10: -4.4372
The number of decimal places we moved the decimal point gives us the exponent: -4.4372 * 10^9

Therefore, 5.79 * 10^7 - 4.4951 * 10^9 is equal to -4.4372 * 10^9.