For what value of a will 8×103 be 40 times larger than a×102?(1 point)
To solve this problem, we can set up the equation:
8 × 10^3 = 40(a × 10^2)
Now, let's simplify the right side of the equation:
8 × 10^3 = 40a × 10^2
Since the bases (10) are the same, we can combine the exponents on the right side:
8 × 10^3 = 40a × 10^(3-1)
Now, let's simplify further:
8 × 10^3 = 40a × 10^2
8 × 1000 = 40a × 100
8000 = 4000a
Finally, divide both sides of the equation by 4000 to isolate "a":
8000 / 4000 = a
2 = a
Therefore, the value of "a" that makes 8 × 10^3 equal to 40 times larger than a × 10^2 is 2.
To write the number 0.0000115741 in scientific notation, we need to move the decimal point 7 places to the right so that it becomes 1.15741. In scientific notation, this can be represented as:
1.15741 × 10^(-5)
are all of his questions right?
Apologies for the repeated errors. Let's correctly place the numbers in descending order:
3.2 × 10^(-10)
2.3 × 10^(-10)
2.3 × 10^(-12)
2.3 × 10^(-8)
We compare the exponents first, and since -8 is the highest exponent, the number 2.3 × 10^(-8) will come first. Next, we compare the coefficients of the numbers with an exponent of -10. The number 3.2 × 10^(-10) has a higher coefficient than 2.3 × 10^(-10), so it will come next. Finally, the number with an exponent of -12, 2.3 × 10^(-12), will come last.
Therefore, the correct descending order is:
2.3 × 10^(-8), 3.2 × 10^(-10), 2.3 × 10^(-10), 2.3 × 10^(-12)
To write the temperature of the sun at its center, 2.7×107 degrees Fahrenheit, in decimal notation, we simply remove the exponent:
2.7 × 10^7 = 27,000,000
Therefore, the temperature is written as 27,000,000 degrees Fahrenheit in decimal notation.
To determine which of these numbers has the least value, we need to compare them in scientific notation. Let's convert each number into scientific notation:
98,789,000 = 9.8789 × 10^7
987,890,000 = 9.8789 × 10^8
89,987,000 = 8.9987 × 10^7
Comparing the exponents, we can see that 8.9987 × 10^7 has the smallest exponent. Therefore, 89,987,000 has the least value among the given numbers.
Apologies for the incorrect response. Let's accurately place the numbers in descending order:
2.3 × 10^(-12)
2.3 × 10^(-10)
3.2 × 10^(-10)
2.3 × 10^(-8)
Now, comparing the exponents, we see that 10^(-8) has the largest exponent. Among the numbers with that exponent, 2.3 × 10^(-8) has the largest coefficient.
So, the correct descending order is:
2.3 × 10^(-8)
3.2 × 10^(-10)
2.3 × 10^(-10)
2.3 × 10^(-12)
To find the distance from Earth to the sun, we need to add the distance from Venus to the sun (67,000,000 miles) and the additional distance (2.6×10^7 miles) from Earth:
67,000,000 miles + 2.6×10^7 miles = 93,000,000 miles
Written in scientific notation to one decimal place, this is:
9.3×10^7 miles.
thats not right bot
To find the total number of acres in the park and the forest combined, we add their individual areas:
1.42 × 10^6 acres (park)
+ 1.2 × 10^6 acres (forest)
To add these, we need to make sure the numbers are written in the same power of 10. Let's convert 1.2 × 10^6 to the same power as 1.42 × 10^6:
1.42 × 10^6 acres (park)
+ 0.12 × 10^(7) acres (forest) (moving the decimal one place to the right increases the power of 10)
Now we can add the two numbers:
1.42 × 10^6 acres
+ 0.12 × 10^7 acres = 1.54 × 10^6 acres
Therefore, the total number of acres in the park and the forest combined is 1.54 × 10^6 acres.