To convert 46 cm to inches, we will use the conversion factor of 2.54 cm per inch. This means that for every 2.54 cm, there is 1 inch.
Step 1: Write down the given value in centimeters (cm), in this case 46 cm.
Step 2: In order to cancel out the unit of cm, we will multiply by the conversion factor of 2.54 cm per inch.
46 cm x (2.54 cm/1 inch)
Step 3: Simplify the equation by canceling out the cm units.
46 x (2.54/1) inch
Step 4: Multiply the numbers and divide by the units.
46 x 2.54 inch
Step 5: Solve for the final value by using a calculator.
46 x 2.54 = 116.84 inches
Step 6: Round off the answer to the appropriate significant figures.
Since the given value, 46 cm, has only two significant figures, we will round the final answer to two significant figures as well, which gives us 117 inches.
Therefore, 46 cm is equivalent to 117 inches.