Answer :
To express the weight of a grain of sugar in scientific notation, follow these steps:
1. Identify the Given Weight:
The weight of a grain of sugar is given as 0.000000625.
2. Understand Scientific Notation:
Scientific notation is a way of writing very large or very small numbers conveniently. It is written as the product of a number between 1 and 10 and a power of ten.
3. Convert to Scientific Notation:
- First, identify the significant figures. In the number 0.000000625, the significant figures are 625.
- Count the number of places the decimal point must be moved to the right to get a number between 1 and 10. Here, you move the decimal point 7 places to the right.
- Since you moved the decimal to the right, the exponent of 10 will be negative.
This gives us: [tex]\(6.25 \times 10^{-7}\)[/tex].
4. Final Answer:
Thus, the weight of a grain of sugar in scientific notation is [tex]\(6.25 \times 10^{-7}\)[/tex].
1. Identify the Given Weight:
The weight of a grain of sugar is given as 0.000000625.
2. Understand Scientific Notation:
Scientific notation is a way of writing very large or very small numbers conveniently. It is written as the product of a number between 1 and 10 and a power of ten.
3. Convert to Scientific Notation:
- First, identify the significant figures. In the number 0.000000625, the significant figures are 625.
- Count the number of places the decimal point must be moved to the right to get a number between 1 and 10. Here, you move the decimal point 7 places to the right.
- Since you moved the decimal to the right, the exponent of 10 will be negative.
This gives us: [tex]\(6.25 \times 10^{-7}\)[/tex].
4. Final Answer:
Thus, the weight of a grain of sugar in scientific notation is [tex]\(6.25 \times 10^{-7}\)[/tex].
