Question 1: Calculate 3.45 multiplied by 10. Write your answer and explain the place value shift that occurs.

Answer: 34.5

Question 2: Calculate 0.056 multiplied by 100. Write down the result and describe the shift in decimal point.

Answer: 5.6

Question 3: A student multiplies 4.23 by 1000 but writes 4230 instead of the correct answer. Identify the mistake and correct it.

Answer: The student did not shift the decimal point three places to the right. Correct answer is 4230.

Question 4: Error Analysis: A student claims that multiplying 0.007 by 10 results in 0.07. Is this correct? If not, what is the mistake?

Answer: Incorrect. Multiplying 0.007 by 10 shifts the decimal one place to the right, so the answer is 0.07, which is correct. No mistake.

Question 5: Construct a decimal number that, when multiplied by 100, results in 8.4. Show your process.

Answer: 0.084

Question 6: A decimal 0.56 is mistakenly multiplied by 100, and the answer is written as 56. Is this correct? Explain why or why not.

Answer: Yes, because shifting the decimal two places to the right results in 56. The mistake is not present here.

Question 7: Calculate the product of 0.009 and 1000. Show your working.

Answer: 9.0

Question 8: Identify and correct the mistake in this statement: Multiplying 3.2 by 100 gives 3200.

Answer: Incorrect. Multiplying 3.2 by 100 shifts the decimal two places right, so the answer is 320.

Question 9: Plot the graph of y = 2x on the grid. Use the grid to represent at least five points.

Answer: Points: (0,0), (1,2), (2,4), (3,6), (4,8)

Question 10: Construct a triangle on the grid with sides of 3, 4, and 5 units, illustrating the concept of place value shifts in measurement.

Answer: A right-angled triangle with appropriate side lengths, demonstrating shifts in measurements.

Question 11: Mixed Review: Multiply 7.89 by 1000 and explain the place value change. Then, multiply 0.004 by 100 and describe the shift.

Answer: 7.89 × 1000 = 7890 (shift decimal three places right). 0.004 × 100 = 0.4 (shift decimal two places right).

Question 12: Error Analysis: A student claims that multiplying 0.12 by 100 results in 1.2. Is this correct? If not, identify and correct the mistake.

Answer: Correct. Moving the decimal two places to the right produces 12, not 1.2. The mistake is in the answer; proper result is 12.