Question 1: Divide 4.56 by 10. Write your answer with proper decimal placement.

Answer: 0.456

Question 2: What is 0.789 divided by 100? Show your calculation process.

Answer: 0.00789

Question 3: If you divide 12.345 by 1000, what is the result? Write the answer.

Answer: 0.012345

Question 4: Explain how dividing 7.89 by 10 affects the decimal point and the number's value.

Answer: Dividing by 10 shifts the decimal point one place to the left, making the number smaller. So, 7.89 becomes 0.789.

Question 5: Calculate 3.141 divided by 100 and show your working.

Answer: 0.03141

Question 6: A product costs $5.67. If you divide its price by 10, what is the new price?

Answer: 0.567

Question 7: Divide 0.1234 by 1000. Write your answer with decimal points in the correct place.

Answer: 0.0001234

Question 8: What is the effect of dividing 8.56 by 10 on its place value? Explain briefly.

Answer: Dividing by 10 moves the decimal one place to the left, decreasing the number's value by a factor of 10.

Question 9: Calculate 9.876 divided by 1000.

Answer: 0.009876

Question 10: A scientist records a measurement of 0.0456 meters. If she divides this measurement by 10, what is the new measurement? Show your working.

Answer: 0.00456

Question 11: A calculator displays 0.00678. If you multiply this number by 1000, what is the result? Conversely, what is the effect of dividing by 1000?

Answer: Multiplying by 1000 shifts the decimal three places to the right, resulting in 6.78. Dividing by 1000 shifts it three places left, giving 0.00678.

Question 12: Identify and correct the mistake: A student states that dividing 0.987 by 10 results in 9.87.

Answer: The student incorrectly moved the decimal to the right. Dividing by 10 moves the decimal one place to the left, so the correct answer is 0.0987.