Let's solve each part step by step:

a) Write $1.54 \times 10^4$ as an ordinary number.

To convert $1.54 \times 10^4$ to an ordinary number, move the decimal point 4 places to the right: $1.54 \times 10^4 = 15400$

b) Write $5.09 \times 10^{-3}$ as an ordinary number.

To convert $5.09 \times 10^{-3}$, move the decimal point 3 places to the left: $5.09 \times 10^{-3} = 0.00509$

c) Write 540,000 in standard form.

To convert 540,000 to standard form, express it as a number between 1 and 10 multiplied by a power of 10: $540,000 = 5.4 \times 10^5$

d) Write 0.000869 in standard form.

To convert 0.000869 to standard form, express it as a number between 1 and 10 multiplied by a power of 10: $0.000869 = 8.69 \times 10^{-4}$

Answers:

• a) 15400
• b) 0.00509
• c) $5.4 \times 10^5$
• d) $8.69 \times 10^{-4}$

Would you like more details or have any questions?

Related Questions:

1. How do you convert a number from standard form to an ordinary number?
2. What is the significance of the power of 10 in standard form?
3. How do you determine if the power should be positive or negative when converting to standard form?
4. What are some common mistakes when writing numbers in standard form?
5. How would you convert a very large number, like a billion, into standard form?

Tip:

When converting from scientific notation to an ordinary number, remember that a positive exponent moves the decimal to the right, while a negative exponent moves it to the left.