Word Problems with Positive and Negative Numbers

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -5 is 5.

Front

How do you calculate the distance between two points on a number line?

Back

To calculate the distance between two points on a number line, subtract the smaller number from the larger number and take the absolute value of the result.

Front

What does it mean to owe money in terms of positive and negative numbers?

Back

Owing money is represented as a negative number. For example, if you owe $10, it can be represented as -10.

Front

How do you add and subtract positive and negative numbers?

Back

When adding positive and negative numbers, combine their absolute values and apply the sign of the number with the larger absolute value. For subtraction, change the sign of the number being subtracted and then add.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring the reader to extract relevant information and perform calculations.

Front

How do you interpret a word problem to set up an equation?

Back

To interpret a word problem, identify the key information, define variables for unknowns, and translate the narrative into a mathematical equation.

Front

What is the significance of units in word problems?

Back

Units are important in word problems as they provide context for the quantities involved, ensuring that calculations are meaningful and accurate.

Front

How do you solve a multi-step word problem?

Back

To solve a multi-step word problem, break it down into smaller parts, solve each part step by step, and keep track of the results to arrive at the final answer.

Front

What is the process for checking your answer in a word problem?

Back

To check your answer, revisit the original problem, ensure that your solution makes sense in the context, and verify that all calculations are correct.

Front

How can diagrams or drawings help in solving word problems?

Back

Diagrams or drawings can help visualize the problem, making it easier to understand relationships between quantities and aiding in the setup of equations.