4.82 X 10^12 - 3.2 X 10^4
To subtract numbers written in scientific notation, we need to have the same exponent for both numbers.
4.82 x 10^12 and 3.2 x 10^4 have different exponents.
We can rewrite 3.2 x 10^4 as 3.2 x 10^12 x 1/1 x 10^8 (since 10^4 = 10^12 x 1/1 x 10^8).
Now we have:
4.82 x 10^12 - 3.2 x 10^12 x 1/1 x 10^8
= (4.82 - 3.2 x 1/1 x 10^8) x 10^12
= (4.82 - 0.000032) x 10^12
= 4.819968 x 10^12
Therefore, 4.82 x 10^12 - 3.2 x 10^4 = 4.819968 x 10^12.
To subtract these numbers, we need to make sure they are written in scientific notation with the same exponent:
4.82 × 10^12 - 3.2 × 10^4
Since 3.2 is not in scientific notation, we can rewrite it as 3.2 × 10^0:
4.82 × 10^12 - 3.2 × 10^0
Next, we need to make the exponents the same so we can subtract the coefficients:
4.82 × 10^12 - 3.2 × 10^0
We can convert 3.2 × 10^0 to scientific notation by moving the decimal point to the right until there is only one digit before the decimal point:
3.2 × 10^0 = 0.32 × 10^1
Now, we have:
4.82 × 10^12 - 0.32 × 10^1
To subtract the coefficients, keep the exponent the same:
4.82 × 10^12 - 0.32 × 10^1 = 4.82 × 10^12 - 0.032 × 10^2
Now, we can subtract the coefficients:
4.82 × 10^12 - 0.032 × 10^2 = 4.82 × 10^12 - 3.2 × 10^10
We have subtracted the numbers in scientific notation. The final result is 4.82 × 10^12 - 3.2 × 10^10.
To subtract the two numbers in scientific notation, we need to make sure that the exponents are the same. In this case, we have:
4.82 x 10^12 - 3.2 x 10^4
Since the exponent of the second number is smaller than the first, we need to adjust it to match the larger exponent.
To do this, we can move the decimal point of 3.2 x 10^4 four places to the right. This will give us:
0.00032 x 10^12
Now that the exponents are the same, we can simply subtract the two numbers:
4.82 x 10^12 - 0.00032 x 10^12 = (4.82 - 0.00032) x 10^12
Subtracting the two decimal numbers gives us:
4.81968 x 10^12
So, 4.82 x 10^12 - 3.2 x 10^4 = 4.81968 x 10^12.