Question 1: Express 0.00056 in standard form (scientific notation).

Answer: 5.6×10⁻⁴

Question 2: Convert the scientific notation 3.2×10⁻⁵ to its decimal form.

Answer: 0.000032

Question 3: Write 0.00000789 in standard form.

Answer: 7.89×10⁻⁶

Question 4: Plot the graph of y=2×10⁻⁴x on the grid below. (Draw the line on the grid.)

Answer: See full answer key

Question 5: Construct a triangle with side lengths: 0.0008, 0.0012, and 0.0005 in standard form. Show your construction on the grid.

Answer: See full answer key

Question 6: A scientist measures a small sample as 2.5×10⁻³ grams. If the measurement is off by 0.0001 grams, what is the possible range of the actual weight?

Answer: Between 2.4×10⁻³ and 2.6×10⁻³ grams

Question 7: Express the product of 4.2×10⁻⁴ and 3×10⁻³ in standard form.

Answer: 1.26×10⁻⁶

Question 8: Identify and correct the mistake in the following: 0.00045 = 4.5×10⁻³.

Answer: The correct form is 4.5×10⁻⁴, not 10⁻³.

Question 9: Calculate the sum of 1.2×10⁻⁴ and 3.4×10⁻⁵, expressing the answer in standard form.

Answer: 1.54×10⁻⁴

Question 10: A small bacteria sample weighs 5.3×10⁻⁶ grams. If it doubles in size, what is its new weight? Express your answer in standard form.

Answer: 1.06×10⁻⁵

Question 11: Challenge: Given the number 0.000123456, write it in scientific notation, then multiply it by 1000 and express the result in standard form.

Answer: 1.23456×10⁻⁴; multiplied by 1000 gives 1.23456×10⁻¹