How can the addition of a parenthesis be used to increase the value of the following expression?: 4-3/2^2+3*2+5

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How can the addition of a parenthesis be used to increase the value of the following expression?: 4-3/2^2+3*2+5

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Answer 1 · 2018-03-08T02:42:17

Put parenthesis around the $2 + 5$ $2+5$ This way the addition must be done before the multiplication

Explanation:

$4 - \frac{3}{2^{2}} + 3 \times 2 + 5 = 4 - \frac{3}{2^{2}} + 6 + 5 = 4 - \frac{3}{2^{2}} + 11$ $4 - 3/2^2 + 3 xx 2 + 5 = 4 - 3 /2^2 + 6 + 5 = 4 -3/2^2 +11$

$4 - \frac{3}{2^{2}} + 3 \times (2 + 5) = 4 - \frac{3}{2^{2}} + 3 \times 10 = 4 - \frac{3}{2^{+}} 30$ $4 - 3/2^2 + 3 xx (2+5) = 4 -3/2^2 + 3 xx10 = 4-3/2^ +30$

$30 > 11$ $30 > 11$ so adding the parenthesis around the 2+5 increases the value of the expression.

( Note there are also probably other ways of adding parenthesis to increase the value but this way works. )

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How can the addition of a parenthesis be used to increase the value of the following expression?: 4-3/2^2+3*2+5

1 Answer

Explanation:

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