Add 3.2 x 104 and 1.95 x 106
Subtract 1.95 x 106 and 3.2 x 104
Multiply 3.2 x 104 and 1.95 x 106
Divide 1.95 x 106 and 3.2 x 104
Adding 3.2 x 10^4 and 1.95 x 10^6: 1.95 x 10^6 + 3.2 x 10^4 = 1.95 x 10^6 + 0.032 x 10^6 = (1.95 + 0.032) x 10^6 = 1.982 x 10^6
Subtracting 1.95 x 10^6 and 3.2 x 10^4: 1.95 x 10^6 - 3.2 x 10^4 = 1.95 x 10^6 - 0.032 x 10^6 = (1.95 - 0.032) x 10^6 = 1.918 x 10^6
Multiplying 3.2 x 10^4 and 1.95 x 10^6: (3.2 x 1.95) x (10^4 x 10^6) = 6.24 x 10^10
Dividing 1.95 x 10^6 and 3.2 x 10^4: (1.95 / 3.2) x (10^6 / 10^4) = 0.609375 x 10^2 = 60.9375 x 10^0 = 60.9375
To add 3.2 x 10^4 and 1.95 x 10^6:
Step 1: Adjust the powers of 10 to be the same. In this case, 3.2 x 10^4 becomes 32 x 10^4.
Step 2: Add the coefficients. 32 + 1.95 = 33.95.
Step 3: Keep the powers of 10 the same. So, the result is 33.95 x 10^4.
To subtract 1.95 x 10^6 and 3.2 x 10^4:
Step 1: Adjust the powers of 10 to be the same. In this case, 3.2 x 10^4 becomes 32 x 10^4.
Step 2: Subtract the coefficients. 1.95 - 32 = -30.05.
Step 3: Keep the powers of 10 the same. So, the result is -30.05 x 10^4.
To multiply 3.2 x 10^4 and 1.95 x 10^6:
Step 1: Multiply the coefficients. 3.2 x 1.95 = 6.24.
Step 2: Add the powers of 10. 10^4 x 10^6 = 10^(4+6) = 10^10.
Step 3: Combine the coefficient and the power of 10. So, the result is 6.24 x 10^10.
To divide 1.95 x 10^6 and 3.2 x 10^4:
Step 1: Divide the coefficients. 1.95 / 3.2 = 0.609375.
Step 2: Subtract the powers of 10. 10^6 / 10^4 = 10^(6-4) = 10^2.
Step 3: Combine the coefficient and the power of 10. So, the result is 0.609375 x 10^2.
To add 3.2 x 10^4 and 1.95 x 10^6:
First, ensure that the numbers are written in scientific notation format. If not, convert them. In this case, both numbers are already in scientific notation format.
Then, align the decimal points of the numbers by shifting the smaller exponent to match the larger exponent.
In this case, we shift the decimal point of 3.2 x 10^4 two places to the right to match the decimal point of 1.95 x 10^6.
So, 3.2 x 10^4 becomes 0.00032 x 10^6.
Now we can simply add the coefficients: 0.00032 + 1.95 = 1.95032.
To indicate the final result in scientific notation, we need to adjust the decimal point to have one digit to the left of it. So, the final answer is 1.95032 x 10^6.
To subtract 1.95 x 10^6 and 3.2 x 10^4:
Again, ensure that the numbers are in the correct scientific notation format.
Next, align the decimal points by shifting the exponent of the smaller number to match the larger number.
In this case, no shifting is necessary since both numbers have the same exponent of 10^6.
Now, subtract the coefficients: 1.95 - 0.00032 = 1.94968.
The result will remain in scientific notation: 1.94968 x 10^6.
To multiply 3.2 x 10^4 and 1.95 x 10^6:
Multiply the coefficients: 3.2 x 1.95 = 6.24.
In scientific notation, multiply the exponents: 10^4 x 10^6 = 10^(4+6) = 10^10.
So, the final answer is 6.24 x 10^10.
To divide 1.95 x 10^6 by 3.2 x 10^4:
Divide the coefficients: 1.95 / 3.2 = 0.609375.
For the exponents, subtract the exponent in the denominator from the exponent in the numerator: 10^6 - 10^4 = 10^(6-4) = 10^2.
Therefore, the result is 0.609375 x 10^2, or 60.9375 x 10^0 in decimal form.