use 3.2x104 and 1.95 x 106 for step a. Answer MUST be in correct scientific notation.
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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 first need to ensure that the exponents are the same. In this case, both numbers are already in scientific notation with the same base (10), so we can proceed with the addition.
Step 1: Add the coefficients:
3.2 + 1.95 = 5.15
Step 2: Keep the base (10) and add the exponents:
10^4 + 10^6 = 10^6
Therefore, the sum is 5.15 x 10^6.
To add 3.2x10^4 and 1.95x10^6, we need to align the exponents and then add the coefficients:
Step 1: Align the exponents:
3.2x10^4 + 1.95x10^6
Step 2: Adjust the coefficient of the smaller exponent to match the larger one:
For 3.2x10^4, we can adjust it to 0.032x10^6 by moving the decimal point two places to the left.
Step 3: Now we can add the coefficients:
0.032x10^6 + 1.95x10^6 = 1.982x10^6
Therefore, 3.2x10^4 + 1.95x10^6 = 1.982x10^6 in correct scientific notation.
To add numbers in scientific notation, you need to make sure that the exponents (the powers of 10) are the same.
In this case, we have:
3.2 x 10^4 + 1.95 x 10^6
Step 1: Adjust the exponents
To make the exponents the same, we need to move the decimal point in 3.2 x 10^4 two places to the right:
3.2 x 10^4 = 32 x 10^2
Now we have:
32 x 10^2 + 1.95 x 10^6
Step 2: Perform the addition
Now that the exponents are the same, we can add the numbers together:
32 x 10^2 + 1.95 x 10^6 = 32 x 10^2 + 195 x 10^4
Step 3: Combine like terms
To add the numbers, we need to have the same base (10) with the same exponent. We can rewrite 32 as 0.32 x 10^2 to match the exponent with 195 x 10^4:
0.32 x 10^2 + 195 x 10^4 = 0.32 x 10^2 + 195 x 10^4
Step 4: Add the numbers
Now that the numbers have the same base (10) and exponent (4), we can add them:
0.32 x 10^2 + 195 x 10^4 = 195.32 x 10^4
Step 5: Write in scientific notation
To write the answer in correct scientific notation, we need to move the decimal point to the right and adjust the exponent. In this case, we move the decimal point one place to the right and adjust the exponent to 10^6:
195.32 x 10^4 = 1.9532 x 10^6
Therefore, the sum of 3.2 x 10^4 and 1.95 x 10^6 in correct scientific notation is 1.9532 x 10^6.