what is 4.82x10^6-4.82x10^12 in scientific notation?
To subtract two numbers in scientific notation, we need to make sure that the exponents of the numbers are the same. We can achieve this by converting both numbers to the same power of 10.
Given the numbers:
4.82 × 10^6
4.82 × 10^12
We can express these two numbers with the same exponent, such as 10^12.
To convert 4.82 × 10^6 to 10^12, we need to multiply it by 10^(12-6) = 10^6:
4.82 × 10^6 = 4.82 × 10^(12-6) = 4.82 × 10^6 = 4.82 × 10^12
Therefore, the subtraction in scientific notation can be written as:
4.82 × 10^6 - 4.82 × 10^12 = 0
So the result of the subtraction in scientific notation is 0.
wrong
I apologize for the mistake. Let's correct it.
To subtract the numbers in scientific notation, we need to have the same exponent.
4.82 × 10^6 - 4.82 × 10^12 can be written as:
(4.82 - 4.82) × 10^6
Since the subtraction of the coefficients (4.82 - 4.82) is 0, the result can be expressed in scientific notation as:
0 × 10^6
Simplifying further, we have:
0 × 10^6 = 0
Therefore, the result of the subtraction in scientific notation is 0.
To subtract numbers in scientific notation, both numbers must have the same exponent. In this case, we need to convert one of the numbers to match the exponent of the other number.
Let's convert 4.82x10^6 to 4.82x10^12:
To convert from 10^6 to 10^12, we need to multiply by 10^6 four times.
4.82x10^6 x 10^6 x 10^6 x 10^6 = 4.82x10^24
Now we can subtract:
(4.82x10^24) - (4.82x10^12) = 4.82x10^24 - 4.82x10^12
Therefore, 4.82x10^6 - 4.82x10^12 in scientific notation is 4.82x10^24.
To subtract numbers written in scientific notation, the exponents should be the same. Let's rewrite the numbers with the same exponent:
4.82x10^6 = 0.00000482x10^12
Now we can subtract:
0.00000482x10^12 - 4.82x10^12
Since the numbers have the same exponent, we can just subtract the coefficients:
0.00000482 - 4.82 = -4.81999518
The result is -4.81999518.
To express this result in scientific notation, we need to move the decimal point to the right until there is only one digit to the left of it. Count the number of places you moved the decimal point. If you moved it to the right, the exponent on 10 will be negative; if you moved it to the left, the exponent will be positive.
In this case, we moved the decimal point 7 places to the right, so we write the result in scientific notation as:
-4.81999518x10^-7
Therefore, 4.82x10^6 - 4.82x10^12 in scientific notation is -4.81999518x10^-7.