Question

Approximate the given number (a) rounded and (b) truncated to three decimal places.46.7618

Answer 1

a) 46.762

b) 46.761

Step-by-step explanation:
`Given\colon\text{ 46.7618}`

a) round to 3 decimal place

`\begin{gathered} 7\text{ = 1st decimal place6 = 2nd decimal place} \\ 1\text{ = third decimal place} \\ So\text{ we round the number after the 3rd decimal place} \\ \text{if equal to 5 or greater, we round to 1} \\ \text{If less than 5, we round to zero} \\ 8\text{ > 5, round to 1 to the third decimal place} \\ \\ Add\text{ 1 to the 3rd decimal place: 1 + 1= 2} \\ 46.7618\text{ to 3 d.p }=\text{ 46.762} \end{gathered}`

b) Truncate to 3 decimal place

`\begin{gathered} \text{The thr}ee\text{ numbers after the decimal point = 761} \\ \text{The number after the thre}e\text{ decimal numbers = 8} \\ By\text{ truncating, we'll remove all decimal after the thr}ee\text{ decimal numbers} \\ As\text{ a result, we remove 8 and we would be left with: 46.761} \\ \\ Hence,truncating\text{ 46.7618 to 3 dp = 46.761} \end{gathered}`