use 3.2x10^4 and 1.95 x 10^6 for steps a,b,c,d. Answers MUST be in correct scientific notation. show work
a. Add 3.2 x 10^4 and 1.95 x 10^6
To add 3.2 x 10^4 and 1.95 x 10^6, we need to make sure the numbers have the same exponent.
Step a:
3.2 x 10^4 = 0.32 x 10^5 (rewrite as 0.32 multiplied by 10 raised to the power of 5)
Step b:
1.95 x 10^6 = 19.5 x 10^5 (rewrite as 19.5 multiplied by 10 raised to the power of 5)
Now that both numbers have the same exponent (10^5), we can add them:
0.32 x 10^5 + 19.5 x 10^5 = (0.32 + 19.5) x 10^5 = 19.82 x 10^5
Therefore, the sum of 3.2 x 10^4 and 1.95 x 10^6 is 19.82 x 10^5.
To add 3.2 x 10^4 and 1.95 x 10^6, we need to ensure that we are operating with numbers that have the same exponent.
Step a: write both numbers in scientific notation with the same exponent.
3.2 x 10^4 = 0.32 x 10^5 (since 3.2 x 10^4 = 0.32 x 10^(4+1) = 0.32 x 10^5)
1.95 x 10^6 (already in scientific notation)
Now, we can add the two numbers directly:
0.32 x 10^5 + 1.95 x 10^6 = (0.32 + 1.95) x 10^6
Step b: perform the addition:
0.32 + 1.95 = 2.27
Now we have the sum in decimal form:
2.27 x 10^6
Finally, write the answer in correct scientific notation format:
2.27 x 10^6 is the sum of 3.2 x 10^4 and 1.95 x 10^6.
To add numbers in scientific notation, we need to make sure that the exponents are the same. Let's rewrite the numbers with the same exponent:
3.2 x 10^4 = 0.032 x 10^6 (divide 10^4 by 10^2)
1.95 x 10^6 = 1.95 x 10^6
Now we can add the numbers:
0.032 x 10^6 + 1.95 x 10^6 = 1.982 x 10^6
So, the sum of 3.2 x 10^4 and 1.95 x 10^6 is 1.982 x 10^6.