3.2 x 10^4 plus 8.03 x 10^-8, show your work

17 answers

To add these numbers, we need to bring them to the same power of 10.

3.2 x 10^4 + 8.03 x 10^-8

First, we can convert 8.03 x 10^-8 to scientific notation with a positive exponent by moving the decimal point 8 places to the right:
8.03 x 10^-8 = 0.0000000803 x 10^0

Now, we can compare the exponents of 10:
3.2 x 10^4 + 0.0000000803 x 10^0

Since the exponents are not the same, we need to adjust the second term by multiplying it by 10^4:
0.0000000803 x 10^0 = 0.0000000803 x 10^4 x 10^-4 = 0.0000000803 x 10^4 x 0.0001

Now, we can add the numbers:
3.2 x 10^4 + 0.0000000803 x 10^4 x 0.0001 = (3.2 + 0.0000000803) x 10^4

3.2 + 0.0000000803 = 3.2000000803

Finally, we have:
(3.2000000803) x 10^4

Rounded to the appropriate number of significant figures, the sum is 3.20 x 10^4.
1.95 x 10^6 subtract 2.56 x 10^-2, show your work
To subtract these numbers, we need to bring them to the same power of 10.

1.95 x 10^6 - 2.56 x 10^-2

First, we can convert 1.95 x 10^6 to scientific notation with a negative exponent by moving the decimal point 6 places to the left:
1.95 x 10^6 = 0.00000195 x 10^10

Now, we can compare the exponents of 10:
0.00000195 x 10^10 - 2.56 x 10^-2

Since the exponents are not the same, we need to adjust the second term by multiplying it by 10^10:
2.56 x 10^-2 = 2.56 x 10^-2 x 10^10 x 10^-10 = 2.56 x 10^-2 x 10^10 x 0.0000000001

Now, we can subtract the numbers:
0.00000195 x 10^10 - 2.56 x 10^-2 x 10^10 x 0.0000000001 = (0.00000195 - 2.56 x 0.0000000001) x 10^10

0.00000195 - 2.56 x 0.0000000001 = 0.00000195 - 0.000000000256 = 0.000001693

Finally, we have:
(0.000001693) x 10^10

Rounded to the appropriate number of significant figures, the difference is 1.69 x 10^10.
4.82 x 10^12 times 3.2 x 10^4, show ur work
To multiply these numbers, we can simply multiply the coefficients and add the exponents.

(4.82 x 10^12) * (3.2 x 10^4)

Multiplying the coefficients: 4.82 * 3.2 = 15.424

Adding the exponents: 10^12 * 10^4 = 10^(12 + 4) = 10^16

Therefore, the product is: 15.424 x 10^16

Rounded to the appropriate number of significant figures, the result is 1.54 x 10^17.
2.56 x 10^-2 divide 4.82 x 10^12
To divide these numbers, we can divide the coefficients and subtract the exponents.

(2.56 x 10^-2) / (4.82 x 10^12)

Dividing the coefficients: 2.56 / 4.82 = 0.5311203319502075

Subtracting the exponents: 10^(-2) / 10^(12) = 10^(-2 - 12) = 10^(-14)

Therefore, the quotient is: 0.5311203319502075 x 10^(-14)

Rounded to the appropriate number of significant figures, the result is 5.31 x 10^(-15).
2.56 x 10^-2 divide 4.82 x 10^12 show ur work
To divide these numbers, we can divide the coefficients and subtract the exponents.

(2.56 x 10^-2) / (4.82 x 10^12)

Dividing the coefficients: 2.56 / 4.82 = 0.530289

Subtracting the exponents: 10^(-2) / 10^(12) = 10^(-2 - 12) = 10^(-14)

Therefore, the quotient is: 0.530289 x 10^(-14)

Rounded to the appropriate number of significant figures, the result is 5.30 x 10^(-15).
3.2 x 10^4 + 32.8, show your work
To add these numbers, we need to bring them to the same power of 10.

3.2 x 10^4 + 32.8

Now, we can convert 32.8 to scientific notation by moving the decimal point one place to the left:

32.8 = 3.28 x 10^1

Now, we can add the numbers:

3.2 x 10^4 + 3.28 x 10^1

Since the exponents are different, we cannot directly combine the terms. However, we can rewrite 3.28 x 10^1 as 32.8 x 10^0:

3.2 x 10^4 + 32.8 x 10^0

We can now compare the exponents:

10^4 = 10^0

Since the exponents are the same, we can add the coefficients:

3.2 + 32.8 = 36

Finally, we have:

36 x 10^4

Rounded to the appropriate number of significant figures, the sum is 3.6 x 10^5.
2.56 x 10^-2 subtract 1,845.19 , show your work
To subtract these numbers, we need to bring them to the same power of 10.

2.56 x 10^-2 - 1,845.19

First, we can convert 1,845.19 to scientific notation.

To do this, we count the number of decimal places moved to the right from the original number to obtain a number between 1 and 10.

1,845.19 can be written as 1.84519 x 10^3.

Now, we can subtract the numbers:

2.56 x 10^-2 - 1.84519 x 10^3

Since the exponents are different, we cannot directly combine the terms.

However, we can rewrite 1.84519 x 10^3 as 0.000184519 x 10^6:

2.56 x 10^-2 - 0.000184519 x 10^6

We can now subtract the coefficients:

2.56 - 0.000184519 = 2.559815481

Finally, we have:

2.559815481 x 10^-2

Rounded to the appropriate number of significant figures, the difference is 2.56 x 10^-2.
1.95 x 10^6 times 256.7. , same deal
To multiply these numbers, we can simply multiply the coefficients and add the exponents.

(1.95 x 10^6) * (256.7)

Multiplying the coefficients: 1.95 * 256.7 = 500.965

Adding the exponents: 10^6 * 10^0 = 10^(6 + 0) = 10^6

Therefore, the product is: 500.965 x 10^6

Rounded to the appropriate number of significant figures, the result is 5.01 x 10^8.
4.82 x 10^12 divide by 0.3 , last one
To divide these numbers, we can simply divide the coefficients and subtract the exponents.

(4.82 x 10^12) / 0.3

Dividing the coefficients: 4.82 / 0.3 = 16.066666...

Subtracting the exponents: 10^12 / 10^0 = 10^(12 - 0) = 10^12

Therefore, the quotient is: 16.066666... x 10^12

Rounded to the appropriate number of significant figures, the result is 1.61 x 10^13.