Algebra Class 10 - Operations with Integers

Basic Arithmetic Operations

• Subtraction of integers can yield negative results: 8 - 79 equals -71.
• Adding two negative integers results in a more negative integer: -19 + (-17) equals -36.
• Combining a positive integer with a negative integer can decrease the overall value: 39 + (-6) equals 33.

Handling Negative Numbers

• Adding a negative integer to a more significant negative integer will lower the total: -543 + 217 equals -326.
• Subtracting a larger positive integer from a smaller one gives a negative result: 14 + (-42) equals -28.
• The result of subtracting a larger positive integer from a smaller one: 11 - 46 equals -35.

Evaluation of Expressions with Variables

• In expressions with variables, substituting values is necessary for evaluation.
• For a = -312 and b = 405, calculating -a + -b gives 312 + 405, resulting in 717.
• For x = 7 and y = -31, evaluating -x - y leads to -7 + 31, which equals 24.

Absolute Values and Their Calculations

• The absolute value represents the non-negative magnitude: |47 + (-58)| calculates to |-11|, ultimately equaling 11.
• Subtraction involving absolute values can lead to conflicts or refinements: computing -17 - (-62) equals -17 + 62, resulting in 45.

Test your knowledge on integer operations with this quiz designed for 10th-class algebra. You'll encounter various problems including addition, subtraction, and evaluation of expressions involving positive and negative numbers. Challenge yourself and improve your skills in handling integers!