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