Write The Number In Standard Notation:$4.74 \times 10^7$

Understanding Scientific Notation

Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It involves expressing a number as a product of a number between 1 and 10 and a power of 10. This notation is commonly used in mathematics, physics, and engineering to simplify calculations and make it easier to understand and compare large numbers.

Converting from Scientific Notation to Standard Notation

To convert a number from scientific notation to standard notation, we need to multiply the number by the power of 10. In the given problem, we have the number $4.74 \times 10^7$. To convert this number to standard notation, we need to multiply 4.74 by $10^7$.

Multiplying by Powers of 10

When multiplying a number by a power of 10, we can move the decimal point of the number to the right by the number of places indicated by the exponent. In this case, we need to move the decimal point of 4.74 to the right by 7 places.

Moving the Decimal Point

To move the decimal point of 4.74 to the right by 7 places, we need to add 7 zeros to the right of the number. This gives us 4.74,000,000.

The Final Answer

Therefore, the number $4.74 \times 10^7$ in standard notation is 47,400,000.

Examples of Converting from Scientific Notation to Standard Notation

Here are a few examples of converting numbers from scientific notation to standard notation:

• $2.5 \times 10^4$ = 25,000
• $3.2 \times 10^6$ = 3,200,000
• $1.9 \times 10^3$ = 1,900

Tips and Tricks

When converting numbers from scientific notation to standard notation, it's essential to remember the following tips and tricks:

• Make sure to move the decimal point the correct number of places.
• Add zeros to the right of the number to move the decimal point.
• Check your answer by converting the number back to scientific notation.

Conclusion

Converting numbers from scientific notation to standard notation is a simple process that involves multiplying the number by the power of 10 and moving the decimal point to the right by the number of places indicated by the exponent. By following the tips and tricks outlined in this article, you can easily convert numbers from scientific notation to standard notation and understand the concept of scientific notation.

Frequently Asked Questions

Here are some frequently asked questions about converting numbers from scientific notation to standard notation:

• Q: What is scientific notation? A: Scientific notation is a way of expressing very large or very small numbers in a more manageable form.
• Q: How do I convert a number from scientific notation to standard notation? A: To convert a number from scientific notation to standard notation, you need to multiply the number by the power of 10 and move the decimal point to the right by the number of places indicated by the exponent.
• Q: What are some examples of converting numbers from scientific notation to standard notation? A: Here are a few examples: $2.5 \times 10^4$ = 25,000, $3.2 \times 10^6$ = 3,200,000, and $1.9 \times 10^3$ = 1,900.

Further Reading

If you want to learn more about scientific notation and converting numbers from scientific notation to standard notation, here are some additional resources:

• Khan Academy: Scientific Notation
• Mathway: Scientific Notation
• Wolfram Alpha: Scientific Notation

References

Here are some references that you can use to learn more about scientific notation and converting numbers from scientific notation to standard notation:

• "Scientific Notation" by Math Is Fun
• "Converting from Scientific Notation to Standard Notation" by Purplemath
• "Scientific Notation" by Wikipedia
  

Understanding Scientific Notation

Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It involves expressing a number as a product of a number between 1 and 10 and a power of 10. This notation is commonly used in mathematics, physics, and engineering to simplify calculations and make it easier to understand and compare large numbers.

Q&A: Scientific Notation

Q: What is scientific notation?

A: Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It involves expressing a number as a product of a number between 1 and 10 and a power of 10.

Q: How do I convert a number from scientific notation to standard notation?

A: To convert a number from scientific notation to standard notation, you need to multiply the number by the power of 10 and move the decimal point to the right by the number of places indicated by the exponent.

Q: What are some examples of converting numbers from scientific notation to standard notation?

A: Here are a few examples: $2.5 \times 10^4$ = 25,000, $3.2 \times 10^6$ = 3,200,000, and $1.9 \times 10^3$ = 1,900.

Q: How do I convert a number from standard notation to scientific notation?

A: To convert a number from standard notation to scientific notation, you need to move the decimal point to the left until you have a number between 1 and 10, and then multiply the number by 10 raised to the power of the number of places you moved the decimal point.

Q: What are some examples of converting numbers from standard notation to scientific notation?

A: Here are a few examples: 25,000 = $2.5 \times 10^4$, 3,200,000 = $3.2 \times 10^6$, and 1,900 = $1.9 \times 10^3$.

Q: What is the difference between scientific notation and exponential notation?

A: Scientific notation and exponential notation are similar, but they are not exactly the same thing. Exponential notation involves expressing a number as a product of a number and a power of a base, whereas scientific notation involves expressing a number as a product of a number between 1 and 10 and a power of 10.

Q: How do I simplify expressions involving scientific notation?

A: To simplify expressions involving scientific notation, you can use the rules of exponents, such as multiplying powers with the same base by adding their exponents.

Q: What are some common mistakes to avoid when working with scientific notation?

A: Some common mistakes to avoid when working with scientific notation include:

• Forgetting to move the decimal point the correct number of places
• Adding or subtracting powers with different bases
• Multiplying or dividing powers with different bases

Conclusion

Scientific notation is a powerful tool for expressing very large or very small numbers in a more manageable form. By understanding how to convert numbers from scientific notation to standard notation and vice versa, you can simplify calculations and make it easier to understand and compare large numbers.

Frequently Asked Questions

Here are some additional frequently asked questions about scientific notation:

• Q: What is the difference between scientific notation and engineering notation? A: Engineering notation is similar to scientific notation, but it involves expressing numbers in a more compact form, with powers of 3 instead of 10.
• Q: How do I convert a number from scientific notation to engineering notation? A: To convert a number from scientific notation to engineering notation, you need to multiply the number by 10 raised to the power of the number of places you moved the decimal point, and then divide the result by 10 raised to the power of 3.
• Q: What are some examples of converting numbers from scientific notation to engineering notation? A: Here are a few examples: $2.5 \times 10^4$ = 25,000, $3.2 \times 10^6$ = 3,200,000, and $1.9 \times 10^3$ = 1,900.

Further Reading

If you want to learn more about scientific notation and converting numbers from scientific notation to standard notation, here are some additional resources:

• Khan Academy: Scientific Notation
• Mathway: Scientific Notation
• Wolfram Alpha: Scientific Notation

References

Here are some references that you can use to learn more about scientific notation and converting numbers from scientific notation to standard notation:

• "Scientific Notation" by Math Is Fun
• "Converting from Scientific Notation to Standard Notation" by Purplemath
• "Scientific Notation" by Wikipedia