Final answer:
To move from point 1, 3/2 to 2/3, we find the difference between 2.5 and 2/3, which is 1 5/6. To move from point 1, 3/2 to 3, 9/2, we find the difference between 2.5 and 4.5, which is 2.
Step-by-step explanation:
To move from point 1, 3/2 to 2/3, we need to understand that this question is about plotting points on the number line or performing operations with fractions. For simplicity, let's interpret the 'move' as finding the difference between these two values. The point 1, 3/2 can be interpreted as 1 + 3/2, which simplifies to 2 + 1/2, or 2.5. The number 2/3 remains as it is. To find the difference, we subtract 2/3 from 2.5. This would give us 2.5 - 2/3 = 7.5/3 - 2/3 = 5.5/3 or 1 5/6.
To move from point 1, 3/2 to 3, 9/2, we perform similar operations. The point 1, 3/2 is again 2.5, and the point 3, 9/2 is equal to 3 + 9/2, which simplifies to 4 + 1/2 or 4.5. To find the difference between these two points, we subtract 2.5 from 4.5. This gives us 4.5 - 2.5 = 2.
Understanding fractions and their operations with whole numbers is crucial in mathematics to calculate differences and movement between points on the number line.