scientific notation
12,150,000,000
1.215 x 10(7)
It is 1.215x10^10, as there are 10 digits between the "old" decimal point and the "new" decimal point.
To express the number 12,150,000,000 in scientific notation, follow these steps:
1. Start by moving the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, the decimal point needs to be moved 10 places to the left to get 1.215.
2. Count the number of places you moved the decimal point. In this case, you moved it 10 places to the left, so the exponent in scientific notation will be 10.
3. Write the number in scientific notation by multiplying the decimal part (1.215) by 10 raised to the power of the exponent (10): 1.215 x 10^10.
So, 12,150,000,000 can be written in scientific notation as 1.215 x 10^10.
To express a number in scientific notation, follow these steps:
Step 1: Move the decimal point until there is only one non-zero digit to the left of the decimal point. Count the number of places moved.
In your example, the number is 12,150,000,000. To move the decimal point, we need to count how many zeros are after the non-zero digit. In this case, there are 10 zeros (10 places).
Step 2: Write the number as a decimal with one digit to the left of the decimal point and multiply it by 10 raised to the power of the number of places you moved the decimal point.
So, in your example, you would write 12,150,000,000 as 1.215 and multiply it by 10 raised to the power of 10 (the number of places the decimal point was moved).
This can be written as:
1.215 x 10^10
The expression above represents the number 12,150,000,000 in scientific notation. The coefficient 1.215 is the decimal representation of the number, and the exponent 10 indicates the scale of the number by which it was multiplied.