Convert the number below from standard notation to scientific notation.
5,500,000,000
5.5 x 10^9
To convert the number 5,500,000,000 from standard notation to scientific notation, follow these steps:
Step 1: Determine the decimal place of the original number. In this case, the decimal point is after the last zero, so the number is already in standard notation.
Step 2: Rewrite the number by moving the decimal point to the right or left so that only one non-zero digit remains to the left of the decimal point.
In scientific notation, the decimal point is always placed after the first non-zero digit, so we need to move the decimal point 9 places to the left.
5,500,000,000 becomes 5.5.
Step 3: Write the number in the form of "a × 10^n", where a is the number obtained in step 2, and n is the number of places the decimal point was moved.
In this case, since we moved the decimal point 9 places to the left, we write the number as:
5.5 × 10^9
So, the number 5,500,000,000 in scientific notation is 5.5 × 10^9.
To convert a number from standard notation to scientific notation, you need to move the decimal point in the original number to the desired location, then express the resulting number as a coefficient multiplied by a power of 10.
In standard notation, the number 5,500,000,000 has nine zeros after the 5.
To express this number in scientific notation, we need to move the decimal point after the first non-zero digit. Therefore, we can write it as follows:
5.5 × 10^9
In this form, the coefficient is 5.5, and the power of 10 is 9, which indicates that we moved the decimal point nine places to the right.