### Numerical Expressions

• Mathematicians have agreed upon a convention for performing arithmetic operations, called the order of operations, so that any mathematical expression will always have the same value.
• Order of Operations
1. Parentheses (work inside grouping symbols)
2. Exponents
3. Multiply and Divide in order from left to right
4. Add and Subtract in order from left to right

## 18 ×3 − 49 ÷7 ×3 =

• 54 − 49 ÷7 ×3 =
• 54 − 7 ×3 =
• 54 − 21 =

## 44 ÷(16 − 12) + 7 ×5 =

• 44 ÷4 + 7 ×5 =
• 11 + 35 =

## (14 − 7) + 72 ÷9 − (8 + 3) =

• 7 + 72 ÷9 − (8 + 3) =
• 7 + 8 − (8 + 3) =
• 7 + 8 − 11 =
• 15 − 11 =

## 7.4 + ((57.7 − 41.5) − 9.1) =

• 7.4 + (16.2 − 9.1) =
• 7.4 + 7.1 =

## 2(5 + (27.4 − 6 − (15.4 − 2.5))) =

• 2(5 + (27.4 − 6 − 12.9)) =
• 2(5 + (21.4 − 12.9)) =
• 2(5 + 8.5) =
• 2(13.5) =

## ((11 ×2 + 3) ÷5 ×2 + 10) ÷4 =

• ((22 + 3) ÷5 ×2 + 10) ÷4
• (25 ÷5 ×2 + 10) ÷4 =
• (5 ×2 + 10) ÷4 =
• (10 + 10) ÷4 =
• 20 ÷4 =

## ((17 + 5 ×2) ÷3 − 1) ÷4 =

• ((17 + 10) ÷3 − 1) ÷4 =
• (27 ÷3 − 1) ÷4 =
• (9 − 1) ÷4 =
• 8 ÷4 =

## While shopping for school, you buy two notebooks for \$ 4.25 each, three pens for \$ 1.50 each, and 5 pencils for \$ 0.75 each. How much money did you spend total?

• 2(\$ 4.25) + 3(\$ 1.50) + 5(\$ 0.75) =
• \$ 8.50 + \$ 4.50 + \$ 3.75 =
• \$ 13.00 + \$ 3.75 =

## A family with 3 children, 2 adults, and 1 senior citizen purchase tickets for a movie. A child ticket costs \$ 7, an adult ticket costs \$ 10.50, and a senior ticket costs \$ 8. What is the total cost of their tickets?

• 3(\$ 7) + 2(\$ 10.50) + \$ 8 =
• \$ 21 + \$ 21 + \$ 8 =
• \$ 42 + \$ 8 =

## Michelle is shopping for groceries. She buys 2 apples for \$ 1.50 each, 6 bananas for \$ 0.75 each, 10 strawberries for \$ 0.25 each, and 1 pineapple for \$ 5. How much did Michelle spend on groceries?

• 2(\$ 1.50) + 6(\$ 0.75) + 10(\$ 0.25) + \$ 5 =
• \$ 3 + \$ 4.50 + \$ 2.50 + \$ 5 =
• \$ 7.50 + \$ 2.50 + \$ 5 =
• \$ 10 + \$ 5 =

### \$ 15

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
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