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1. Keys to solve practical problems on large numbers

Practical problems are nothing but application-oriented word problem which involves mathematical operations (such as addition, subtraction, multiplication and division).

Practical problem not only deals with mathematical operations but also deals with vocabulary, phrases, and understanding the concept.

Here come some keys to crack word problems.

Operation	Symbol	Keywords	Example
Addition	$+$	add, sum, plus, total, increased by, in all, more than, together, and, both, combined,	$2$ is increased by $3 = 2 + 3 = 5$. The combined value of $4$ and $8$ is $4 + 8 = 12$.
Subtraction	$-$	subtract, difference, minus, decrease, fewer than, how many are less, how much needed to, left, minus, reduced, remaining, take away	$5$ fewer than $7 = 7 - 5 = 2$. $13$ is reduced from $29$. $29 - 13 = 16$
Multiplication	$×$	multiply, by, product, times, of, (double ($2×$), triple ($3×$))	$7$ times of $6$. $7 × 6 = 42$ Tripe the number $8$. $3 × 8 = 24$
Division	$\div$	divide, quotient, as much, over, share equally, how many in each, parts, the ratio of, percent, separated,	Share $₹40$ equally to $8$ people. $40/8 = 5$ Ratio of $10$ and $5$. $10/5 = 2/1$.

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1. Keys to solve practical problems on large numbers

Theory: