Order of Operations Application Problems

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is: Parentheses, Exponents, Multiply/Divide (from left to right), Add/Subtract (from left to right).

Front

Calculate: 5 + 3 × 2

Back

The answer is 11. According to the Order of Operations, you multiply first: 3 × 2 = 6, then add: 5 + 6 = 11.

Front

Calculate: (4 + 2) × 3

Back

The answer is 18. First, solve inside the parentheses: 4 + 2 = 6, then multiply: 6 × 3 = 18.

Front

What does 'gaining yards' mean in a football context?

Back

Gaining yards means advancing the ball down the field, which contributes positively to the team's position.

Front

What does 'losing yards' mean in a football context?

Back

Losing yards means moving the ball backward, which negatively affects the team's position.

Front

If a team gains 10 yards and then loses 5 yards, what is the net change?

Back

The net change is 5 yards gained. (10 - 5 = 5).

Front

Calculate: 56 birdhouses + (4 classes × 8 birdhouses)

Back

The answer is 88 birdhouses. First, calculate the number of birdhouses made: 4 × 8 = 32, then add: 56 + 32 = 88.

Front

What is a negative score in a game?

Back

A negative score indicates a loss of points, which can occur due to penalties or mistakes.

Front

Calculate: 15 points lost × 7 times + 100 points lost

Back

The total change is 205 points lost. (15 × 7 = 105, then 105 + 100 = 205).

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.