Calculate 5.3 * 10 ^ - 3 - 6.7 * 10 ^ 0 . Express the answer in scientific notation rounding to 2 decimal places.
To solve this equation, we can follow the order of operations (PEMDAS/BODMAS).
Step 1: Calculate 5.3 * 10^-3
5.3 multiplied by 10 raised to the power of -3 equals 0.0053 (to two decimal places).
Step 2: Calculate 6.7 * 10^0
Since any number raised to the power of 0 is equal to 1, we have 6.7 multiplied by 1, which equals 6.7.
Step 3: Subtract the two results.
0.0053 - 6.7 equals -6.6947.
Step 4: Express the answer in scientific notation.
To express the answer in scientific notation, we move the decimal point to the left until there is only one non-zero digit before the decimal point. In this case, the answer can be written as -6.69 (rounded to two decimal places) multiplied by 10^0.
Thus, the answer is -6.69 x 10^0 in scientific notation.
To calculate 5.3 * 10^-3 - 6.7 * 10^0, we first need to simplify each term individually.
5.3 * 10^-3 can be written as 0.0053 in decimal notation. And 6.7 * 10^0 is equal to 6.7, since any number raised to the power of 0 is always 1.
So now we have 0.0053 - 6.7.
Calculating 0.0053 - 6.7, we get -6.6947 (rounded to decimal places).
Now we need to express the answer in scientific notation. To do this, we need to move the decimal point so that there is only one digit before it, and then multiply by a power of 10.
In this case, since -6.6947 has one digit before the decimal point, we can write it as -6.6947 * 10^0. However, we want to round to 2 decimal places, so the final answer in scientific notation is approximately -6.69 * 10^0.
To simplify the expression, we first calculate the values of the terms:
5.3 * 10 ^ -3 = 0.0053 (since 10 ^ -3 is equivalent to 1/1000 or 0.001, and 5.3 * 0.001 = 0.0053)
6.7 * 10 ^ 0 = 6.7 (since 10 ^ 0 is equivalent to 1, and 6.7 * 1 = 6.7)
Next, we subtract the two values:
0.0053 - 6.7 = -6.6947
Rounding to 2 decimal places gives us -6.69.
Since the result is negative, it can be expressed as: -6.69 * 10 ^ 0.
Therefore, the expression 5.3 * 10 ^ - 3 - 6.7 * 10 ^ 0 can be written as -6.69 * 10 ^ 0 in scientific notation.