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
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
A. To add 3.2 x 10^4 and 1.95 x 10^6, you need to make sure the exponents are the same. In this case, both numbers have a power of 10, so you can add the coefficients directly:
3.2 x 10^4 + 1.95 x 10^6 = (3.2 + 1.95) x 10^6
Calculating the sum of the coefficients gives you:
= 5.15 x 10^6
So the sum is 5.15 x 10^6.
B. To subtract 1.95 x 10^6 from 3.2 x 10^4, you also need to make sure the exponents are the same. Since both numbers have a power of 10, you can subtract the coefficients directly:
3.2 x 10^4 - 1.95 x 10^6 = (3.2 - 1.95) x 10^4
Calculating the difference of the coefficients gives you:
= 1.25 x 10^4
So the difference is 1.25 x 10^4.
C. To multiply 3.2 x 10^4 and 1.95 x 10^6, you need to multiply the coefficients and add the exponents:
(3.2 x 1.95) x 10^(4 + 6) = 6.24 x 10^10
So the product is 6.24 x 10^10.
D. To divide 1.95 x 10^6 by 3.2 x 10^4, you need to divide the coefficients and subtract the exponents:
(1.95 / 3.2) x 10^(6 - 4) = 0.609375 x 10^2
Simplifying the coefficient gives you:
= 6.09375 x 10^1
Since the coefficient is greater than or equal to 1, we can simplify the exponent to:
= 60.9375
So the quotient is 6.09375 x 10^1 or 60.9375.
A. To add 3.2 x 10^4 and 1.95 x 10^6, we first need to make sure that the exponents are the same. We can do this by converting 3.2 x 10^4 to scientific notation with the exponent of 6:
3.2 x 10^4 = 3.2 x 10^(4+2) = 3.2 x 10^6
Now, we can add the numbers:
3.2 x 10^6 + 1.95 x 10^6 = (3.2 + 1.95) x 10^6 = 5.15 x 10^6
Therefore, the result is 5.15 x 10^6.
B. To subtract 1.95 x 10^6 and 3.2 x 10^4, we again need to make sure the exponents are the same. We can convert 3.2 x 10^4 to scientific notation with the exponent of 6:
3.2 x 10^4 = 3.2 x 10^(4+2) = 3.2 x 10^6
Now we can subtract the numbers:
1.95 x 10^6 - 3.2 x 10^6 = (1.95 - 3.2) x 10^6 = -1.25 x 10^6
Therefore, the result is -1.25 x 10^6.
C. To multiply 3.2 x 10^4 and 1.95 x 10^6, we need to multiply the numbers and add the exponents:
3.2 x 10^4 * 1.95 x 10^6 = (3.2 * 1.95) 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 numbers and subtract the exponents:
1.95 x 10^6 / 3.2 x 10^4 = (1.95 / 3.2) x 10^(6-4) = 0.609375 x 10^2
Since 0.609375 is already in decimal form, we can rewrite it as 6.09375 x 10^(-2+2) = 6.09375 x 10^0 = 6.09375
Therefore, the result is 6.09375 x 10^0.
A. To add 3.2 x 10^4 and 1.95 x 10^6, we need to make sure the exponents are the same. To do that, we can rewrite 3.2 x 10^4 as 0.32 x 10^5 by moving the decimal point one place to the left. Now we can add the numbers:
(0.32 x 10^5) + (1.95 x 10^6) = 2.27 x 10^6
So the sum of 3.2 x 10^4 and 1.95 x 10^6 is 2.27 x 10^6.
B. To subtract 3.2 x 10^4 from 1.95 x 10^6, we again need to make sure the exponents are the same. We rewrite 3.2 x 10^4 as 0.32 x 10^5. Now we can subtract the numbers:
(1.95 x 10^6) - (0.32 x 10^5) = 1.93 x 10^6
So the difference between 1.95 x 10^6 and 3.2 x 10^4 is 1.93 x 10^6.
C. To multiply 3.2 x 10^4 and 1.95 x 10^6, we can multiply the numbers and add the exponents:
(3.2 x 1.95) x (10^4 x 10^6) = 6.24 x 10^10
So the product of 3.2 x 10^4 and 1.95 x 10^6 is 6.24 x 10^10.
D. To divide 1.95 x 10^6 by 3.2 x 10^4, we can divide the numbers and subtract the exponents:
(1.95 / 3.2) x (10^6 / 10^4) = 0.609375 x 10^(6-4) = 0.609375 x 10^2
Now we can simplify further by moving the decimal point:
0.609375 x 10^2 = 6.09375 x 10^(2-1) = 6.09375 x 10^1
So the quotient of 1.95 x 10^6 divided by 3.2 x 10^4 is 6.09375 x 10^1.