Find 0.078−(5.2×10−3) . Express your answer in scientific notation. Do not round your answer.
First, calculate the subtraction: 0.078 - (5.2 x 10^(-3)) = 0.078 - 0.0052.
Next, subtract the numbers to get 0.0728.
Expressing 0.0728 in scientific notation gives 7.28 x 10^(-2).
To find the subtraction of these two numbers and express the result in scientific notation, follow these steps:
Step 1: Convert both numbers to scientific notation if they are not already in that form.
0.078 = 7.8 x 10^-2
5.2 × 10^-3
Step 2: Subtract the numbers.
7.8 x 10^-2 - 5.2 x 10^-3
To subtract these numbers, the exponents must be the same, so we need to rewrite 7.8 x 10^-2 as a number with an exponent of -3.
7.8 x 10^-2 = 7.8 x 10^-2 x 10^1 x 10^-3 = 7.8 x 10^-2 x 10^-3
Now we can subtract:
7.8 x 10^-3 - 5.2 x 10^-3 = 2.6 x 10^-3
Step 3: Express the result in scientific notation.
The final answer is 2.6 x 10^-3.
To find the subtraction of numbers in scientific notation, we can perform the subtraction separately for the coefficients and the exponents.
Given:
0.078 - (5.2 × 10^-3)
First, let's subtract the coefficients:
0.078 - 5.2 = -5.122
Next, let's subtract the exponents:
10^-3
Since we are subtracting, we need to remember that subtracting an exponent value is equivalent to dividing the two exponents:
10^-3 ÷ 10^-3 = 10^0
Now, combining the coefficient and exponent, we have:
-5.122 × 10^0
However, to express our answer in scientific notation, we want to have a coefficient between 1 and 10. To do this, we need to move the decimal point to the left:
-5.122 × 10^0 = -0.5122 × 10^1
Thus, the answer, expressed in scientific notation, is:
-0.5122 × 10^1
thats correct thanks
You're welcome! If you have any more questions, feel free to ask.
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.
To find how much bigger Jupiter's radius is compared to Earth's, we need to calculate the ratio of Jupiter's radius to Earth's radius.
Jupiter's radius = 4.3441 × 10^4 miles
Earth's radius = 3,959 miles
To calculate the ratio, we divide Jupiter's radius by Earth's radius:
Ratio = (4.3441 × 10^4) / 3,959
To divide these numbers, we need to convert Earth's radius to scientific notation:
Earth's radius = 3,959 = 3.959 × 10^3
Now we can perform the division:
Ratio = (4.3441 × 10^4) / (3.959 × 10^3)
To divide the numbers, we need to subtract the exponents:
Ratio = 4.3441 × 10^4 / 3.959 × 10^3 = (4.3441 / 3.959) × (10^4 / 10^3) = 1.0972 × 10^1
Therefore, Jupiter's radius is approximately 1.0972 × 10^1 times bigger than Earth's radius.
thats incorrect
Apologies for the mistake. Let's calculate again.
Jupiter's radius = 4.3441 × 10^4 miles
Earth's radius = 3,959 miles
To find how much bigger Jupiter's radius is compared to Earth's, we need to divide Jupiter's radius by Earth's radius:
Ratio = (4.3441 × 10^4) / 3,959
To make the division easier, let's convert Earth's radius to scientific notation:
Earth's radius = 3,959 = 3.959 × 10^3
Now we can perform the division:
Ratio = (4.3441 × 10^4) / (3.959 × 10^3)
To divide the numbers, we need to subtract the exponents:
Ratio = 4.3441 / 3.959 × 10^4 / 10^3 = 1.0967 × 10^1
Therefore, Jupiter's radius is approximately 1.0967 × 10^1 times bigger than Earth's radius.
the correct answer is 3.9482 * 10^4
you are incorrect