Add these scientific notation.
3.2x10^4 1.95x10^6
Show work
3.2x10^4 = 32000
1.95x10^6 = 1950000
Can u pls show the work
In step by step forum.
Certainly! Here's the step-by-step method to convert the given numbers into standard form (without scientific notation):
1. 3.2x10^4:
To convert this number to standard form, we need to multiply 3.2 by 10 raised to the power of 4.
3.2 x 10^4 = 3.2 x (10 x 10 x 10 x 10) = 3.2 x 10000 = 32000
2. 1.95x10^6:
To convert this number to standard form, we need to multiply 1.95 by 10 raised to the power of 6.
1.95 x 10^6 = 1.95 x (10 x 10 x 10 x 10 x 10 x 10) = 1.95 x 1000000 = 1950000
Therefore, the numbers in standard form are:
3.2x10^4 = 32000
1.95x10^6 = 1950000
To add numbers in scientific notation, you need to make sure that the exponents are the same. Here's how to add 3.2x10^4 and 1.95x10^6:
Step 1: Adjust the exponents
To make the exponents of both numbers the same, we can rewrite 3.2x10^4 as 0.32x10^5 by moving the decimal point one place to the right.
Step 2: Add the coefficients
Now that the exponents are the same, we can add the coefficients. Add 0.32 and 1.95 to get 2.27.
Step 3: Write the sum in scientific notation
Since the sum of the coefficients is 2.27, and the exponents are the same (10^5), we can write the final answer as 2.27x10^5.
Therefore, 3.2x10^4 + 1.95x10^6 = 2.27x10^5.