Question 1: Calculate 0.75 multiplied by 10. Show your working.

Answer: 7.5

Question 2: What is 0.09 multiplied by 100? Show your working.

Answer: 9

Question 3: Multiply 0.006 by 1000. Write the result.

Answer: 6

Question 4: A decimal 0.48 is multiplied by 10. What is the new value? Show your working.

Answer: 4.8

Question 5: Explain why multiplying 0.123 by 100 results in moving the decimal point. Include the concept of place value shifts in your answer.

Answer: Multiplying by 100 shifts the decimal point two places to the right because each multiplication by 10 moves the decimal one place. This increases the value tenfold each time, reflecting the place value shift.

Question 6: Construct a number that, when multiplied by 1000, results in 5.4. Write the original number.

Answer: 0.0054

Question 7: If you mistakenly multiply 0.67 by 100 instead of 10, what error do you make, and what is the incorrect answer? Show your working.

Answer: Incorrectly multiplying by 100 shifts the decimal two places, giving 67. The correct result of multiplying by 10 is 6.7.

Question 8: A decimal number increases from 0.36 to 3.6 after being multiplied by a certain power of 10. Identify the multiplier and explain your reasoning.

Answer: The multiplier is 10, because multiplying by 10 shifts the decimal one place to the right, changing 0.36 to 3.6.

Question 9: A student multiplies 0.045 by 1000. Their answer is 45. Identify and correct the mistake in their calculation.

Answer: Their mistake is multiplying by 100 instead of 1000, which moved the decimal two places, not three. Correct result: 0.045 × 1000 = 45.

Question 10: Plot the graph of y = 2x on the grid. Draw the line clearly.

Answer:

Question 11: Construct a triangle on the grid where one side length is 4 units and is aligned with the axes. Label the vertices.

Answer: