Question

(0.123 + 4.56 + 78.9)*(9.8 – 8.7 + 7.6 – 6.5 + 5.4 – 4.3 + 3.2 – 2.1 + 1.1 – 5.5) = ? *​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{(0.123+4.56+78.9){\times}(9.8-8.7+7.6-6.5+5.4-4.3+3.2-2.1+1.1-5.5)}$

$\underline{\textsf{To find:}}$

$\textsf{The value of the expression}$

$\mathsf{(0.123+4.56+78.9){\times}(9.8-8.7+7.6-6.5+5.4-4.3+3.2-2.1+1.1-5.5)}$

$\underline{\textsf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{(0.123+4.56+78.9){\times}(9.8-8.7+7.6-6.5+5.4-4.3+3.2-2.1+1.1-5.5)}$

$\mathsf{=(0.123+4.56+78.9){\times}((9.8-8.7)+(7.6-6.5)+(5.4-4.3)+(3.2-2.1)+(1.1-5.5))}$

$\mathsf{=(0.123+4.56+78.9){\times}(1.1+1.1+1.1+1.1+(-4.4))}$

$\mathsf{=(0.123+4.56+78.9){\times}(4.4-4.4)}$

$\mathsf{=(0.123+4.56+78.9){\times}0}$

$\mathsf{=0}$

$\underline{\textsf{Answer:}}$

$\mathsf{The\;value\;of\;the\;expression}$

$\mathsf{(0.123+4.56+78.9){\times}(9.8-8.7+7.6-6.5+5.4-4.3+3.2-2.1+1.1-5.5)\;is\;0}$

$\underline{\textsf{Find more:}}$

Simplify 73*73*73+27*27*27/73*73-73*27+27*27

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Using suitable identity find .. I) 96^2 2)231^2-131^2 3)181^2-19^2=162×200 4)97×103

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