Solve 3÷(4+5)×9-6: Order of Operations Practice

The colon (:) is just another way to write division! So $3:(4+5)$ means the same as $3 \div (4+5)$ or $\frac{3}{4+5}$.

PEMDAS rules require parentheses first! You must calculate $4+5=9$ before you can divide 3 by anything. Otherwise you don't know what you're dividing by!

When you divide and multiply by the same number, they cancel out! Think of it as $\frac{3}{9} \times 9 = \frac{3 \times 9}{9} = 3$. The 9s eliminate each other.

Because we subtract a larger number from a smaller one! When you calculate $3 - 6$, you're taking away 6 from 3, which gives you -3.

The order of operations is fixed - you must follow PEMDAS! However, you can write division as fractions: $\frac{3}{4+5} \times 9 - 6$ gives the same result.