Question

*( - 45 ) X ( - 9 ) = ?*

1️⃣ 5
2️⃣ ( - 5 )
3️⃣ 405
4️⃣ ( - 405 )​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

( - 45 ) × ( - 9 )

1. 5

2. - 5

3. 405

4. - 405

CONCEPT TO BE IMPLEMENTED

Distributive Property

For three Real Numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

$\sf{( - 45) \times ( - 9)}$

$\sf{ = + \: ( 45 \times 9)} \: \: \: \bigg( \because \: (- ) \times ( - ) = ( + ) \bigg)$

$\sf{ = 45 \times (10 - 1)}$

$\sf{ = (45 \times 10) - (45 \times 1)}$

$\sf{ = 450 - 45 }$

$\sf{ = 405 }$

FINAL ANSWER

Hence the correct option is 3. 405

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Answer 2

Given :- *( - 45 ) X ( - 9 ) = ?*

1️⃣ 5

2️⃣ ( - 5 )

3️⃣ 405

4️⃣ ( - 405 )

Answer :-

→ (-45) * (-9)

→ (-1 * 45) * (-1 * 9)

→ (-1) * (-1) * 45 * 9

→ (-1)² * (5*9) * 9

→ (-1)² * 5 * (9)²

→ 1 * 81 * 5

→ 405 (Option 3) (Ans.)

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