Question

My calculator does not have a 3 key that works! How can I use this broken calculator to do 23 x 45.

Answer 1

Solution:-

`\longrightarrow` This problem can be tackled by using distributive property of multiplication .

It states for any three numbers a,b and c

`\green{ \underline { \boxed{ \sf{(a±b)* c = a * c±b* c}}}}`

Similarly,

`\quad`23 × 45

`\longrightarrow`(21+2) ×45

`\longrightarrow`21×45+2×45

`\longrightarrow`945 + 90

`\longrightarrow` 1035

It can also be done as-

`\quad`23 × 45

`\longrightarrow`(25-2) ×45

`\longrightarrow`25×45-2×45

`\longrightarrow`1125-90

`\longrightarrow` 1035