Question

Find the value of:
${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$

Answer 1

Hint: Generally in Mathematics, the word degree has many meanings and definitions. In geometry, the degree is the unit of angle. That is, an angle is measured mostly in degrees in geometry.
Here, an expression is given. Here, we are asked to find the value of the expression ${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$. This given expression contains values in degrees. We have to apply the BODMAS rule in this question. That is, we need to calculate the brackets first and then orders, then division or multiplication, and finally we need to add or subtract.
While multiplying the two values which are in degrees, we get the number without a degree. Example: ${1^\circ } \times {2^\circ } = 2$

Complete step-by-step solution:
The given expression is ${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$.
To find: The value of ${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$
We shall apply the BODMAS rule in this question.
We know that while multiplying the two values which are in degrees, we get the number without a degree. Example: ${1^\circ } \times {2^\circ } = 2$
${1^\circ } \times {2^\circ } = 2$
${3^\circ } \times {4^\circ } = 12$
${5^\circ } \times {6^\circ } = 30$
Hence, we get ${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$$ = 2 + 12 + 30$
$ = 44$
Therefore, the value of ${1^\circ } \times {2^\circ } + {3^\circ } \times {4^\circ } + {5^\circ } \times {6^\circ }$ is $44$.

Note: In geometry, the degree is the unit of angle. That is, an angle is measured mostly in degrees in geometry. While measuring things such as latitude and longitude, the terms minutes and seconds are used in addition to the degree. That is the degree is divided into sixty minutes and for approximate measurements, the minute is divided into sixty seconds. Since the values of minutes and seconds are small, we just stop up to a degree.
Also, it is to be noted that while multiplying the two values which are in degrees, we get the number without a degree. Example: ${1^\circ } \times {2^\circ } = 2$