Question 1: Calculate 0.75 × 10 and state the new decimal position.

Answer: 7.5

Question 2: What is 3.6 multiplied by 100? Write your answer and explain how the decimal point moves.

Answer: 360; decimal moves two places to the right

Question 3: Multiply 0.045 by 1000. What is the result?

Answer: 45

Question 4: Construct a number on the grid that, when multiplied by 10, shifts the decimal point three places to the right. Show the number and explain the shift.

Answer: e.g., 0.007 → 0.07 → 0.7 → 7; decimal shifts three places right

Question 5: A price of $4.25 is increased by multiplying by 100. What is the new amount? Explain the place value change.

Answer: $425; decimal point moves two places to the right

Question 6: A scientist records a measurement as 0.0035 grams. If the measurement is multiplied by 1000, what is the new value? Show your working.

Answer: 3.5 grams

Question 7: A car's speed is 0.056 km/h. If it accelerates to 1000 times its original speed, what is the new speed? Write your answer and reason about the shift.

Answer: 56 km/h; decimal shifts three places right

Question 8: Identify and correct the mistake: Multiplying 0.6 by 10 gives 6.0, but a student states it gives 0.6. Explain the correct process.

Answer: Multiplying 0.6 by 10 shifts the decimal one place to the right, resulting in 6.0

Question 9: A bank account balance is $0.009. If the bank processes a transaction that multiplies this amount by 1000, what is the new balance?

Answer: 9

Question 10: Challenge: Plot the graph of y = 2x on the grid, where x ranges from -5 to 5. Draw the line and label key points.

Answer: Students plot points (-5, -10), (0, 0), (5, 10)

Question 11: Construct a triangle on the grid with sides of lengths 3, 4, and 5 units. Use the grid to verify the lengths.

Answer: Students draw the triangle and measure sides; verify using the grid or Pythagoras.