Question

terrell wants to convert his height into centimeters. he is 63.5 inches tall and there are 2.54 centimeters in every inch. how tall is terrell in centimeters? a. 66.04 cm b. 126.27 cm c. 127.04 cm d. 161.29 cm

Explanation:

Step1: Identify the conversion formula

To convert inches to centimeters, we use the formula: \(\text{Height in cm} = \text{Height in inches} \times 2.54\)

Step2: Substitute the given values

We know the height in inches is \(63.5\) and the conversion factor is \(2.54\) cm per inch. So we calculate \(63.5\times2.54\)
\[

$$\begin{align*} 63.5\times2.54&=(60 + 3.5)\times2.54\\ &=60\times2.54+3.5\times2.54\\ &=152.4+8.89\\ &=161.29? \text{Wait, no, let's recalculate directly }\\ 63.5\times2.54&= 63.5\times2 + 63.5\times0.54\\ &=127+ 34.29\\ \text{Wait, no, correct direct multiplication: }\\ 63.5\times2.54&=63.5\times(2 + 0.5+0.04)\\ &=63.5\times2+63.5\times0.5 + 63.5\times0.04\\ &=127+31.75 + 2.54\\ &=127 + 34.29\\ \text{Wait, I made a mistake earlier. Let's do } 63.5\times2.54\\ 63.5\times2.54&=63.5\times2 + 63.5\times0.5 + 63.5\times0.04\\ &=127+31.75 + 2.54\\ &=127+34.29\\ &=161.29? \text{No, wait, } 63.5\times2.54\\ \text{Let's do } 63\times2.54 = 159.02 \text{ and } 0.5\times2.54 = 1.27\\ \text{So total is }159.02+1.27 = 160.29? \text{Wait, no, the correct calculation: }\\ 63.5\times2.54:\\ 2.54\times60 = 152.4\\ 2.54\times3.5=8.89\\ 152.4 + 8.89=161.29\\ \text{Wait, but the option D is 161.29 cm. But wait, maybe I messed up. Wait, no, let's check with calculator steps:}\\ 63.5\times2.54:\\ Multiply 63.5 by 2.54:\\ 63.5\times2.54 = 63.5\times\frac{254}{100}=\frac{63.5\times254}{100}\\ 63.5\times254 = 63.5\times(200 + 50+4)=63.5\times200+63.5\times50 + 63.5\times4=12700+3175+254 = 12700+3429=16129\\ Then divide by 100: 16129\div100 = 161.29 \end{align*}$$

\]
Wait, but the options have D as 161.29 cm. But wait, maybe I misread the problem. Wait, the problem says 63.5 inches. Let me check again.

Wait, 1 inch = 2.54 cm. So 63.5 inches 2.54 cm/inch. Let's compute 63.5 2.54:

63.5 * 2.54:

First, 60 * 2.54 = 152.4

3.5 * 2.54 = 8.89

152.4 + 8.89 = 161.29. So the answer is D. 161.29 cm.

Answer:

D. 161.29 cm