Convert 28 cm to inches, given that 1 in = 2.54 cm. b) If you add to the result of question a) 4.532 in, what do you get?
The Correct Answer and Explanation is:
Converting 28 cm to inches:
To convert centimeters to inches, we use the conversion factor:1 inch=2.54 cm1 \text{ inch} = 2.54 \text{ cm}1 inch=2.54 cm
To convert 28 cm to inches, divide 28 by 2.54:28 cm÷2.54=11.022 in28 \, \text{cm} \div 2.54 = 11.022 \, \text{in}28cm÷2.54=11.022in
So, 28 cm is approximately 11.02 inches (rounded to two decimal places).
b) Adding 4.532 inches to the result:
Now, if we add 4.532 inches to the result from part (a), we get:11.02 in+4.532 in=15.552 in11.02 \, \text{in} + 4.532 \, \text{in} = 15.552 \, \text{in}11.02in+4.532in=15.552in
Thus, the total is 15.552 inches (rounded to three decimal places).
Explanation:
- Unit Conversion: The key step in part (a) is recognizing the conversion factor between centimeters and inches. 1 inch equals 2.54 cm, so to convert from centimeters to inches, we divide the number of centimeters by 2.54. This method ensures accurate conversion between these two units of length.
- Addition: In part (b), we are simply adding the two measurements in inches. Since both quantities are already in the same unit, we can add them directly without any further conversion. The result is the total length in inches.
By using basic arithmetic and understanding the conversion factor, we were able to arrive at the correct answers to both parts of the question.
