Question

The distance between the school and the house of the student is 1km 875m.Every day she walks both ways between her school and the total distance covered by her in a week.

Answer 1

Hint: First find the total distance from home to school and back. For getting both sides distance, multiply the distance of the school from the home by 2. After that change the unit conversion from km to m. For total distance covered in a week multiply the distance traveled in one day by 7.

Complete step-by-step answer:
The distance between the house and the school is 1km 875m.
Let the total distance covered in a week be D km and the distance from the home to the school be d km.
Now, change the distance from meter to kilometer,
As we know that $1m = \dfrac{1}{{1000}}$ km. Then, the distance of the school from home in kilometer is,
$d = 1 + \dfrac{{875}}{{1000}}$ km
Now convert the fraction in decimal,
$d = 1 + 0.875$ km
Add the terms on the right side,
$d = 1.875$ km
 So the distance covered by the girl in a day from home to school and school to home is,
$2d = 2 \times 1.875$ km
Multiply the terms on the right side to get the distance covered in one day,
$2d = 3.75$ km
For the distance covered by her in a week, multiply the distance covered in a day with 7,
$D = 7 \times 3.75$ km
Multiply the terms on the right side,
$D = 26.25$ km
Now change the decimal value of kilometer into the meter.
Multiply the decimal parts by 1000 to get the result in meter,
$0.25 \times 1000 = 250$ m

Hence, the distance covered by the girl in a week is 26 km 250 m.

Note: The students are likely to make mistakes in questions which have units in a different form. Students are advised to use common conversions first to convert all the values in the same unit and then do calculations. Then change back the units into the original form.
Fun Fact:- This kind of question in Math falls under the “Algebra” category.
Algebra comes from a Latin variant of the Arabic word al-jabr, it came from the book’s title “Hidab al- jabr w'al-muqubala” by a mathematician from Arab-Mohammed ibn-Musa al-Khowarizmi in 825 A.D. If you still don’t think that Algebra is not an important subject, you are wrong. It is used in other fields like science, engineering, economics, mathematics, and medicine. The signs of (+) and (-) which prove to be essential elements in performing algebraic equations were discovered in 16th. Before that, people use written words to express the functions of addition and subtraction which was a time-consuming process.