What is the transposition of -4.00+3.00x45?

What is the transposition of -4.00+3.00x45?

• A. -1.00-3.00x135
• B. -5.00+3.00x45
• C. -4.00+4.00x90
• D. -2.00+3.00x45

Answer: (A)

To understand the transposition of a prescription, it's important to grasp what transposition means. The process of transposition is used to convert a prescription from one cylinder format to another. Specifically, if a prescription is in the format of spherical power plus cylindrical power (with an axis), it can be converted to a format that expresses the cylindrical power with a new spherical equivalent and a new axis. In this case, the prescription given is -4.00 +3.00 x 45. This can be interpreted as: - Sphere (S): -4.00 - Cylinder (C): +3.00 - Axis (A): 45 degrees To transpose, the cylinder's power needs to be switched signs, which changes the spherical power as well. The new sphere will be the original sphere plus the cylinder: 1. New Sphere = -4.00 + 3.00 = -1.00 2. The cylindrical power becomes -3.00. 3. The axis is changed by adding 90 degrees to the axis of the original prescription: 45 + 90 = 135 degrees. Thus, after transposition, the result will be -1.00 - 3.00 x 135. This

To understand the transposition of a prescription, it's important to grasp what transposition means. The process of transposition is used to convert a prescription from one cylinder format to another. Specifically, if a prescription is in the format of spherical power plus cylindrical power (with an axis), it can be converted to a format that expresses the cylindrical power with a new spherical equivalent and a new axis.

In this case, the prescription given is -4.00 +3.00 x 45. This can be interpreted as:

• Sphere (S): -4.00

• Cylinder (C): +3.00

• Axis (A): 45 degrees

To transpose, the cylinder's power needs to be switched signs, which changes the spherical power as well. The new sphere will be the original sphere plus the cylinder:

1. New Sphere = -4.00 + 3.00 = -1.00

2. The cylindrical power becomes -3.00.

3. The axis is changed by adding 90 degrees to the axis of the original prescription: 45 + 90 = 135 degrees.

Thus, after transposition, the result will be -1.00 - 3.00 x 135. This