Question 1: Write the number 0.00056 in standard form.

Answer: 5.6×10⁻⁴

Question 2: Express 0.00000789 in scientific notation.

Answer: 7.89×10⁻⁶

Question 3: Convert 3.2×10⁻⁵ to decimal form.

Answer: 0.000032

Question 4: Compare which is larger: 4.5×10⁻⁴ or 6.7×10⁻⁵. Write the larger number in standard form.

Answer: 4.5×10⁻⁴

Question 5: Express 0.000123 in scientific notation.

Answer: 1.23×10⁻⁴

Question 6: Construct a number in scientific notation that equals 0.0000456.

Answer: 4.56×10⁻⁵

Question 7: A scientist measures a small sample as 0.000000789 grams. Write this in scientific notation.

Answer: 7.89×10⁻⁷

Question 8: The distance between two tiny particles is 0.000000056 meters. Express this in standard form.

Answer: 5.6×10⁻⁸

Question 9: Plot the graph of y = 2×10⁻⁴x for x values 0 to 5 on the grid.

Answer: Students plot on grid

Question 10: Construct a triangle with side lengths of 0.0003, 0.0004, and 0.0005 meters in scientific notation.

Answer: 3×10⁻⁴, 4×10⁻⁴, 5×10⁻⁴

Question 11: Identify and correct the mistake: Write 5.6×10⁻³ as 0.56×10⁻².

Answer: The correct form is 5.6×10⁻³; the given form is incorrect because the decimal region and exponent do not match.