Answer :
- To convert $2.15 \times 10^4$ to standard form, multiply 2.15 by $10^4$.
- $10^4$ equals 10,000.
- Multiply 2.15 by 10,000 to get 21,500.
- The number $2.15 \times 10^4$ in standard form is $\boxed{21,500}$.
### Explanation
1. Understanding the Problem
We are given the number $2.15
\times 10^4$ in scientific notation and asked to convert it to standard form. Scientific notation is a way of writing very large or very small numbers in a compact form. Standard form, on the other hand, is the usual way we write numbers without using exponents.
2. Converting to Standard Form
To convert from scientific notation to standard form, we need to multiply the decimal number (2.15 in this case) by the power of 10 ($10^4$ in this case). This means we need to move the decimal point in 2.15 to the right by the number of places indicated by the exponent (4 in this case).
3. Performing the Calculation
So, we have $2.15
\times 10^4 = 2.15
\times 10000$. Moving the decimal point 4 places to the right in 2.15 gives us 21500.
4. Final Answer
Therefore, the number $2.15
\times 10^4$ in standard form is 21,500.
### Examples
Scientific notation and standard form are useful in many real-world situations. For example, scientists use scientific notation to express very large numbers like the distance to stars or very small numbers like the size of atoms. In everyday life, we often encounter large numbers like population sizes or national debts, which can be more easily understood when expressed in scientific notation or standard form. Understanding how to convert between these forms helps us to better grasp the magnitude of these numbers.
- $10^4$ equals 10,000.
- Multiply 2.15 by 10,000 to get 21,500.
- The number $2.15 \times 10^4$ in standard form is $\boxed{21,500}$.
### Explanation
1. Understanding the Problem
We are given the number $2.15
\times 10^4$ in scientific notation and asked to convert it to standard form. Scientific notation is a way of writing very large or very small numbers in a compact form. Standard form, on the other hand, is the usual way we write numbers without using exponents.
2. Converting to Standard Form
To convert from scientific notation to standard form, we need to multiply the decimal number (2.15 in this case) by the power of 10 ($10^4$ in this case). This means we need to move the decimal point in 2.15 to the right by the number of places indicated by the exponent (4 in this case).
3. Performing the Calculation
So, we have $2.15
\times 10^4 = 2.15
\times 10000$. Moving the decimal point 4 places to the right in 2.15 gives us 21500.
4. Final Answer
Therefore, the number $2.15
\times 10^4$ in standard form is 21,500.
### Examples
Scientific notation and standard form are useful in many real-world situations. For example, scientists use scientific notation to express very large numbers like the distance to stars or very small numbers like the size of atoms. In everyday life, we often encounter large numbers like population sizes or national debts, which can be more easily understood when expressed in scientific notation or standard form. Understanding how to convert between these forms helps us to better grasp the magnitude of these numbers.
