Scenario: Temperature Fluctuations - Learn to calculate temperature differences and solve complex expressions!
During one day, the highest temperature was 5°C and the lowest temperature was -3°C. What is the temperature difference?
Calculation: |5 - (-3)| = |8| = 8°C
The temperature difference is 8 degrees Celsius.
Absolute Value Definition: |a| represents the distance from a to 0 on the number line.
Distance is always positive, so absolute value is always positive or zero.
|5| = 5
|-5| = 5
|0| = 0
|-3.2| = 3.2
|a| ≥ 0 (always positive or zero)
|a| = |-a|
|a × b| = |a| × |b|
Calculate: -2 + 3 × (-4 - 1)
Solution: -2 + 3 × (-4 - 1) = -2 + 3 × (-5) = -2 + (-15) = -17
Step 1: Parentheses first: (-4 - 1) = -5
Step 2: Multiplication: 3 × (-5) = -15
Step 3: Addition: -2 + (-15) = -17
Order of Operations:
Calculate: 10 ÷ (-2) + |-3| × 2
Solution: 10 ÷ (-2) + |-3| × 2 = -5 + 3 × 2 = -5 + 6 = 1
Step 1: Division: 10 ÷ (-2) = -5
Step 2: Absolute value: |-3| = 3
Step 3: Multiplication: 3 × 2 = 6
Step 4: Addition: -5 + 6 = 1
Calculate: |7 - 12| + |-5|
Your solution:
Calculate: 4 × (3 - 7) + |-2| × 3
Your solution:
A weather station recorded temperatures of -8°C, 3°C, and -2°C on three consecutive days. What is the largest temperature difference between any two days?
Your calculation: