Compare the results of $$ 3 \times 2 + 6 $$ and $$ 3 \times (2 + 6) $$
$$3 \times 2 + 6 = 6 + 6 = 12$$ and
$$3 \times (2 + 6) = 3 \times 8 = 24$$
The parentheses change the answer.
Compare the results of $$ 18 - 6 \div 2 $$ and $$ (18 - 6) \div 2 $$
$$18 - 6 \div 2 = 18 - 3 = 15$$ and $$(18 - 6) \div 2 = 12 \div 2 = 6$$ The parentheses change the answer.
Place parentheses in the expression $$ 10 - 3 \times 2 $$ to make the result equal \(14\).
$$(10 - 3) \times 2$$ This calculates to \(7 \times 2 = 14\).
Place parentheses in the expression $$ 20 \div 2 + 3 $$ to make the result equal \(4\).
$$20 \div (2 + 3)$$ This calculates to \(20 \div 5 = 4\).
Solve: \( 50 - (2 \times (5+5))\)
Start with the innermost parentheses: \(5+5=10\). Then the next parentheses: \(2 \times 10 = 20\). Finally, subtract: \(50 - 20 = 30\).
Do you need parentheses for the expression "add \(5\) to the product of \(10\) and \(2\)"?
No. The order of operations (PEMDAS) specifies that multiplication is done before addition. So, for $$10 \times 2 + 5$$ you would find the product \(10 \times 2\) first anyway. Parentheses are not needed.
