Find the value of: |
(a) \[15625\times \left( -2 \right)+\left( -15625 \right)\times 98\] |
(b) \[18946\times 99-\left( -18946 \right)\] |
Answer:
\[\left( a \right)\text{ }15625\times \left( -2 \right)+\left( -15625 \right)\times 98\] \[\left( -15625 \right)\times 2+\left( -15625 \right)\times 98\] \[=\left( -15625 \right)\times \left( 2+98 \right)\] \[=\left( -15625 \right)\times 100\] \[=-\left( 15625\times 100 \right)\] = -1562500 \[\left( b \right)\text{ }18946\times 99-\left( -18946 \right)\] \[18946\times 99+18946\] \[=\text{ }18946\times 99+18946\times 1\] \[\left[ \therefore \text{ }18946=18946\times 1 \right]\] \[=\text{ }18946\times \left( 99+1 \right)\] \[[Using\,\,a\times b+a\times c=a\times (b+c)]\] \[=\text{ }18946\times 100\] = 1894600
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