EVALUATE A. Divide the following decimals mentally. 1. 2.3 0.1 2. 76.563 0.001 3. 6.56 0.01 + 4. 95.67 ÷ 1.000 5. 90.1647 ÷ 10 000 Find the quotient. 6. 9÷0.6 9. 65.60 + 4.56 7. 18.75 +2.50 10. 133.75 + 12.75 8. 29.21 + 6.23 and where did you move it?
Answer (1)
Answer:A. Divide the following decimals mentally.3 ÷ 0.1 = 23 (Move the decimal point one place to the right)76.563 ÷ 0.001 = 76,563 (Move the decimal point three places to the right)6.56 ÷ 0.01 = 656 (Move the decimal point two places to the right)95.67 ÷ 1.000 = 0.09567 (Move the decimal point three places to the left)90.1647 ÷ 10,000 = 0.00901647 (Move the decimal point four places to the left)Find the quotient.9 ÷ 0.6 = 1518.75 ÷ 2.50 = 7.529.21 ÷ 6.23 = 4.6869984 (approximately 4.69)65.60 ÷ 4.56 = 14.385964 (approximately 14.39)133.75 ÷ 12.75 = 10.490196 (approximately 10.49)Explanation of Decimal Point MovementDividing by a decimal less than 1 (0.1, 0.01, 0.001): This is equivalent to multiplying by a power of 10. The decimal point moves to the right by the number of places indicated by the decimal. For example, dividing by 0.01 (two decimal places) moves the decimal point two places to the right.Dividing by a number greater than 1 (1.000, 10,000): The decimal point moves to the left by the number of places indicated by the number of zeros. For example, dividing by 10,000 (four zeros) moves the decimal point four places to the left.Long Division (for the non-mental ones)For the divisions that are harder to do mentally, here's a brief reminder of the process:9 ÷ 0.6: Multiply both dividend and divisor by 10 to get 90 ÷ 6 = 1518.75 ÷ 2.50: Multiply both dividend and divisor by 100 to get 1875 ÷ 250 = 7.529.21 ÷ 6.23, 65.60 ÷ 4.56, 133.75 ÷ 12.75: These are best done with a calculator or long division for precise results.I hope this helps! Let me know if you have any more questions.
