Add 3.2 x 10^4 and 1.95 x 10^6
Subtract 4.82 x 10^12 and 3.2 x 10^4
Multiply 2.56 x 10^-2 and 8.03 x 10^-8
Divide 3.2 x 10^4 and 2.56 x 10^-2
To add 3.2 x 10^4 and 1.95 x 10^6, we need to make sure the exponents are the same. In this case, we can convert 3.2 x 10^4 to 3.2 x 10^6 by moving the decimal point two places to the right. Now we can add:
3.2 x 10^6 + 1.95 x 10^6 = (3.2 + 1.95) x 10^6 = 5.15 x 10^6
To subtract 4.82 x 10^12 and 3.2 x 10^4, again we need to make sure the exponents are the same. In this case, we can convert 3.2 x 10^4 to 3.2 x 10^12 by moving the decimal point eight places to the right. Now we can subtract:
4.82 x 10^12 - 3.2 x 10^12 = (4.82 - 3.2) x 10^12 = 1.62 x 10^12
To multiply 2.56 x 10^-2 and 8.03 x 10^-8, we can simply multiply the numeric parts and add the exponents:
(2.56 x 8.03) x (10^-2 x 10^-8) = 20.5728 x 10^-10
Now we need to rewrite this in scientific notation by moving the decimal point one place to the left:
2.05728 x 10^-9
To divide 3.2 x 10^4 by 2.56 x 10^-2, we can divide the numeric parts and subtract the exponents:
(3.2 / 2.56) x (10^4 / 10^-2) = 1.25 x 10^6
Therefore, the answers are:
- The sum of 3.2 x 10^4 and 1.95 x 10^6 is 5.15 x 10^6.
- The difference between 4.82 x 10^12 and 3.2 x 10^4 is 1.62 x 10^12.
- The product of 2.56 x 10^-2 and 8.03 x 10^-8 is 2.05728 x 10^-9.
- The division of 3.2 x 10^4 by 2.56 x 10^-2 is 1.25 x 10^6.