## Problem Solving

 4.4 Problem Solving

EXAMPLE 1
 Find the duration, in centuries and years, between $$6\frac{7}{10}$$ centuries and $$9.8$$ centuries. SOLUTION: To find the duration, the smaller term will be subtracted from the bigger terms. $$9.8\text{ centuries} - 6\frac{7}{10}\text{ centuries}=\Box\text{ centuries }\Box\text{ years}$$ We need to standardize the unit of all terms. $$6\frac{7}{10}\text{ centuries}\to6.7\text{ centuries}$$ $$9.8\text{ centuries} - 6.7\text{ centuries}=\Box\text{ centuries }\Box\text{ years}$$ $$\begin{array}{lr} &9.8\text{ centuries}\\ -&6.7\text{ centuries}\\ \hline&3.1\text{ centuries}\\\hline \end{array}$$ Convert $$3.1$$ centuries to centuries and years. $$3.1\text{ centuries}\to3\text{ centuries}+(0.1\times100)\text{ years}$$ $$3.1\text{ centuries}\to3\text{ centuries}\,10\text{ years}$$

EXAMPLE 2
 The effective date of the Movement Control Order (MCO) Phase 1 in Malaysia is from 18 March 2020 to 31 March 2020. How long, in days, is the MCO Phase 1? SOLUTION: Start Date: 18 Mac 2020 End Date: 31 Mac 2020 Because the date is in the same month, then we can do a simple subtraction operation. $$(31-18)+1=14\text{ days}$$ Therefore, the MCO Phase 1 is 14 days long.

## Problem Solving

 4.4 Problem Solving

EXAMPLE 1
 Find the duration, in centuries and years, between $$6\frac{7}{10}$$ centuries and $$9.8$$ centuries. SOLUTION: To find the duration, the smaller term will be subtracted from the bigger terms. $$9.8\text{ centuries} - 6\frac{7}{10}\text{ centuries}=\Box\text{ centuries }\Box\text{ years}$$ We need to standardize the unit of all terms. $$6\frac{7}{10}\text{ centuries}\to6.7\text{ centuries}$$ $$9.8\text{ centuries} - 6.7\text{ centuries}=\Box\text{ centuries }\Box\text{ years}$$ $$\begin{array}{lr} &9.8\text{ centuries}\\ -&6.7\text{ centuries}\\ \hline&3.1\text{ centuries}\\\hline \end{array}$$ Convert $$3.1$$ centuries to centuries and years. $$3.1\text{ centuries}\to3\text{ centuries}+(0.1\times100)\text{ years}$$ $$3.1\text{ centuries}\to3\text{ centuries}\,10\text{ years}$$

EXAMPLE 2
 The effective date of the Movement Control Order (MCO) Phase 1 in Malaysia is from 18 March 2020 to 31 March 2020. How long, in days, is the MCO Phase 1? SOLUTION: Start Date: 18 Mac 2020 End Date: 31 Mac 2020 Because the date is in the same month, then we can do a simple subtraction operation. $$(31-18)+1=14\text{ days}$$ Therefore, the MCO Phase 1 is 14 days long.