Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14 . What is this number in scientific notation?(1 point)
___ ×10^−14
6.13E−14 can be written in scientific notation as 6.13 × 10^−14.
Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E−21 . What is the mass of 1,000 protons in scientific notation?(1 point)
1.67 × ___
1.67E−21 can be written in scientific notation as 1.67 × 10^-21.
The number 6.13E-14 in scientific notation can be written as 6.13 × 10^-14.
To convert a number to scientific notation, follow these steps:
1. Move the decimal point in the original number to the right or left so that only one non-zero digit is to the left of the decimal point. In this case, the given number is 6.13E−14, which already satisfies this condition.
2. Count the number of places you moved the decimal point. In this case, the decimal point is already in its correct position, so we moved it 0 places.
3. The resulting number is the coefficient. For this given number, the coefficient is 6.13.
4. Determine the value of the exponent by noting the number of places you moved the decimal point. In this case, the number was moved 14 places to the left to reach its current position, so the exponent is -14.
Putting it all together, the number 6.13E−14 in scientific notation is represented as:
6.13 × 10^−14