Understanding Operations and Distance in Mathematics

Lesson 3.3 focuses on applying subtraction to rational numbers in word problems. It explains how to identify when to use addition or subtraction based on clue words. Examples include calculating temperature changes and ranges. The lesson emphasizes understanding range as a positive distance and concludes with choosing the correct expression for a situation. The next lesson, 3.4, will cover multiplying rational numbers with different signs.

What is the main focus of Lesson 3.3e?

• Understanding fractions and decimals

• Multiplying rational numbers with different signs

• Learning about geometric shapes

• Identifying operations and applying subtraction to rational numbers

Which clue word indicates a situation that might require addition?

• Decrease

• Difference

• Ascend

• Fall

In the temperature change example, what operation is used to find the resulting temperature?

• Subtraction

• Addition

• Division

• Multiplication

How do you find the range in temperature between the warmest and coldest nights?

• Multiply the temperatures

• Subtract the absolute values of the temperatures

• Add the temperatures

• Divide the temperatures

Why is the range always a positive number?

• Because it is calculated using addition

• Because it is a non-directional quantity

• Because it is always greater than zero

• Because it represents a distance

What is the correct expression to find the distance between a rock and a buried treasure?

• Absolute value of negative seventeen and seventy-five hundredths

• Negative six and twenty-five hundredths minus eight and five-tenths

• Eight and five-tenths minus six and twenty-five hundredths

• Absolute value of negative six and twenty-five hundredths plus eight and five-tenths