Question

3 lesson 1 - metric system
question 7, 7.1.17
fill in each blank so that the resulting statement is true.
in the metric system, 1 km = __ m, 1 hm = m, 1 dam = m, 1 dm = m, 1 cm = m, and 1 mm = __ m.
in the metric system, 1 km = m, 1 hm = m, 1 dam = m, 1 dm = m, 1 cm = m, and 1 mm = m.

Explanation:

Step1: Recall km to m conversion

The prefix "kilo -" means 1000. So, $1\ km = 1000\ m$.

Step2: Recall hm to m conversion

The prefix "hecto -" means 100. So, $1\ hm=100\ m$.

Step3: Recall dam to m conversion

The prefix "deka -" means 10. So, $1\ dam = 10\ m$.

Step4: Recall dm to m conversion

The prefix "deci -" means $\frac{1}{10}$. So, $1\ dm=0.1\ m$.

Step5: Recall cm to m conversion

The prefix "centi -" means $\frac{1}{100}$. So, $1\ cm = 0.01\ m$.

Step6: Recall mm to m conversion

The prefix "milli -" means $\frac{1}{1000}$. So, $1\ mm=0.001\ m$.

Answer:

$1\ km = 1000\ m$, $1\ hm = 100\ m$, $1\ dam = 10\ m$, $1\ dm = 0.1\ m$, $1\ cm = 0.01\ m$, $1\ mm = 0.001\ m$