Find 0.078 - (5.2 x 10^3) express your answer in scientific notion do not round your answer
To subtract 5.2 x 10^3 from 0.078, we can change 0.078 to scientific notation:
0.078 = 7.8 x 10^-2
Now we can subtract:
7.8 x 10^-2 - 5.2 x 10^3
To subtract numbers in scientific notation, the exponents need to match. Therefore, we need to convert 7.8 x 10^-2 to have an exponent of 3:
7.8 x 10^-2 = 0.0078 x 10^3
Now we can subtract:
0.0078 x 10^3 - 5.2 x 10^3 = (0.0078 - 5.2) x 10^3 = -5.1922 x 10^3
Therefore, the answer in scientific notation is -5.1922 x 10^3.
Earth's radius is approximately 3,959 miles, while Jupiter's radius is approximately 4.3441 × 10^4 miles. How much bigger is Jupiter's radius compared to Earth's? Express your answer in scientific notation. Do not round your answer. (1 point)
To find how much bigger Jupiter's radius is compared to Earth's, we can subtract Earth's radius from Jupiter's radius.
Jupiter's radius: 4.3441 × 10^4 miles
Earth's radius: 3,959 miles
To subtract these two values, we need to convert Earth's radius to scientific notation:
Earth's radius: 3,959 miles = 3.959 × 10^3 miles
Now we can subtract:
Jupiter's radius - Earth's radius:
(4.3441 × 10^4 miles) - (3.959 × 10^3 miles) = (4.3441 - 3.959) × 10^4 miles = 0.3851 × 10^4 miles
Simplifying further, we have:
0.3851 × 10^4 miles = 3.851 × 10^3 miles
Therefore, Jupiter's radius is 3.851 × 10^3 miles bigger than Earth's radius.
To solve the expression 0.078 - (5.2 x 10^3) and express the answer in scientific notation without rounding, we can follow these steps:
Step 1: Convert 0.078 to scientific notation.
0.078 = 7.8 x 10^-2
Step 2: Perform the subtraction.
7.8 x 10^-2 - (5.2 x 10^3)
Step 3: Convert both numbers to the same exponent.
7.8 x 10^-2 - 5200 x 10^0
Step 4: Adjust the exponent.
7.8 x 10^-2 - 5200 x 10^0 = 7.8 x 10^-2 - 5200 x 10^0
Step 5: Combine like terms.
7.8 x 10^-2 - 5200 x 10^0 = 7.8 x 10^-2 - 5200
The final answer, in scientific notation without rounding, is 7.8 x 10^-2 - 5200.
To find the result of the subtraction, we need to subtract 5.2 x 10^3 from 0.078.
Step 1: Convert 0.078 to scientific notation.
0.078 can be written as 7.8 x 10^-2.
Step 2: Subtract 5.2 x 10^3 from 7.8 x 10^-2.
Subtract the coefficients: 7.8 - 5.2 = 2.6.
Subtract the exponents of 10:
-2 - 3 = -5.
Step 3: Express the result in scientific notation.
The result is 2.6 x 10^-5.