Question

Complete each of the following metric relationships:

(a) $1m=\underline{}cm$

(b) localid="1651726037268" $1m=\underline{}nm$

(c) $1mm=\underline{}m$

(d) $1L=\underline{}mL$

Short answer

Required metric relations are:

(a)$1m=\underline{100}cm$

(b)$1m=\underline{{10}^9}nm$

(c)$1mm=\underline{{10}^{-3}}m$

(d)$1L=\underline{1000}mL$

Step-by-step solution

Part(a) Step 1: Given information

We need to complete the blank

$1m=\underline{}cm$

Part(a) Step 2: Explanation

As we know that $1$meter scale is equally divided into 100 parts each representing $1cm$

Hence ,$1m=100cm$

Part(b) Step 1: Given information

We need to complete the blank :$1m=\underline{}nm$

Part(b) Step 2: Explanation

Using scales units, we get

$\Rightarrow 1m={10}^{9}nm$

Hence, $1m={10}^{9}m$

Part(c) Step 1: Given information

We need to complete the blank

$1mm=\underline{}m$

Part(c) Step 2: Explanation

Using unit measurement we get,

$$\begin{gathered} \Rightarrow 10mm=1cm \\ \Rightarrow 100cm=1m \\ \Rightarrow 1mm={10}^{-3}m \end{gathered}$$

Hence,$1mm=\underline{{10}^{-3}}m$

Part(d) Step 1: Given information

We need to complete the blank

$1L=\underline{}mL$

Part(d) Step 2: Explanation 

Using measurements we get,

$1L=\underline{1000}mL$