Question

Use the property of integer to evaluate (−37) × 102

Answer 1

$\large\dag\:\underline{\sf AnswEr :}$

In the given question, We can write 102 as 100 + 2

Now, The question is -37 × (100 + 2)

The formula which we have to use is given below

$: \implies\underline{\boxed{ \sf{x + (y + z ) = xy + xz}}} \\ \\ \sf \: with \: the \: help \: of \: this \: formula \: we \: will \: solve \: this \: problem \: \\ \mathfrak{ \implies- 37 \times 102} \\ \implies \mathfrak{ - 37 \times (100 + 2)} \\ \implies \mathfrak{ - 37 \times 100 + ( - 37) \times 2} \\ \implies \mathfrak{ - 3700 - 74} = \bold{\mathfrak{ - 3774}} \\ \\ \mathtt{the \: answer \: is \:( - 3774)}$