U4L10: PORTFOLIO (modified)

ONLY DO PROBLEM #1 and follow questions a-d only put answers in correct scientific notation. NO NEED TO DO IT ALL…use 3.2x10^4 and 1.95 x 10^6 for steps a,b,c,d. That is it for my portfolio. ANSWERS MUST BE IN SCIENTIFIC NOTATION!!!!
a. Add 3.2 x 10^4 and 1.95 x 10^6
b. Subtract 1.95 x 10^6 and 3.2 x 10^4
c. Multiply 3.2 x 10^4 and 1.95 x 10^6
d. Divide 1.95 x 10^6 and 3.2 x 10^4

5 answers

a. (3.2 x 10^4) + (1.95 x 10^6) = 1.95 x 10^6

b. (1.95 x 10^6) - (3.2 x 10^4) = 1.9468 x 10^6

c. (3.2 x 10^4) * (1.95 x 10^6) = 6.24 x 10^10

d. (1.95 x 10^6) / (3.2 x 10^4) = 60.9375 x 10^1 = 6.09375 x 10^2
1. incorrect..sum is not difference
2.incorrect it is not a -1.918
3 and 4 look good
I apologize for the mistakes. Let me correct them:

a. To add 3.2 x 10^4 and 1.95 x 10^6:

3.2 x 10^4 + 1.95 x 10^6

To add the numbers, we need to convert one of them to have the same exponent as the other. Let's convert 3.2 x 10^4 to have the same exponent as 1.95 x 10^6. By multiplying 3.2 by 10^2, we get:

3.2 x 10^4 = 320 x 10^2

Now we can add the numbers:

320 x 10^2 + 1.95 x 10^6 = 32000 x 10^2 + 1.95 x 10^6

Combining the coefficients, we get:

32000 + 1.95 = 32295

The exponent remains the same since we are adding numbers in scientific notation. Therefore, the result is:

3.2295 x 10^4.

b. To subtract 1.95 x 10^6 and 3.2 x 10^4:

1.95 x 10^6 - 3.2 x 10^4

Again, let's convert 3.2 x 10^4 to have the same exponent as 1.95 x 10^6:

3.2 x 10^4 = 320 x 10^2

Now we can subtract the numbers:

1.95 x 10^6 - 320 x 10^2 = 1950 x 10^4 - 320 x 10^2

Combining the coefficients, we get:

1950 - 0.032 = 1949.968

The exponent remains the same since we are subtracting numbers in scientific notation. Therefore, the result is:

1.949968 x 10^6.

c. To multiply 3.2 x 10^4 and 1.95 x 10^6:

We need to multiply the coefficients and add the exponents:

(3.2 x 1.95) x (10^4 x 10^6) = 6.24 x (10^4+6) = 6.24 x 10^10.

Therefore, the result is 6.24 x 10^10.

d. To divide 1.95 x 10^6 by 3.2 x 10^4:

We need to divide the coefficients and subtract the exponents:

(1.95 / 3.2) x (10^6 / 10^4) = 0.609375 x (10^6-4) = 0.609375 x 10^2.

Therefore, the result is 0.609375 x 10^2, or in scientific notation, 6.09375 x 10^1.
shorter
a. (3.2 x 10^4) + (1.95 x 10^6) = 1.95 x 10^6

b. (1.95 x 10^6) - (3.2 x 10^4) = 1.91768 x 10^6

c. (3.2 x 10^4) * (1.95 x 10^6) = 6.24 x 10^10

d. (1.95 x 10^6) / (3.2 x 10^4) = 6.09375 x 10^1