Get Full Marks with Eccouncil 312-39 Exam Real Questions

Subtraction Techniques

• Traditional Algorithm: Subtracting vertically, borrowing from higher place values when necessary. This is often the first method taught.
• Decomposition Method: Breaking down the numbers to make subtraction easier. For example, subtracting 48 from 92 by subtracting 8 from 12 (92-48 = (90-40) + (2-8))
• Equal Additions Method: Adding the same number to both the minuend and subtrahend. This maintains the difference while making the problem simpler for mental calculations. Example: 137 – 98 = (137 + 2) – (98 + 2) = 139 – 100
• Counting Up Method: Counting up from the subtrahend to the minuend to determine the difference. For example: 156-87. Count up from 87 to 156 (87+13+69)
• Using Number Lines: Visual representation of subtraction, especially helpful for younger students or those struggling with the abstract concept.

Mental Math Strategies

• Breaking down Numbers: Separating numbers into smaller, more manageable components to simplify the calculation. Example: 25 x 4=(20x4) + (5x4)
• Using Properties of Arithmetic: Applying commutative, associative, and distributive properties to rearrange operations for easier calculation.
• Estimating: Using rounding to approximate the answer and check for reasonableness in answer. Example: 32+44 ≈30+40=70.

Numeric Patterns

• Number Sequences: Identifying patterns in sequences of numbers using addition, subtraction, multiplication, or division.
• Number Shapes: Recognizing geometric patterns related to numbers; for example, patterns on the multiplication table, Pascal's triangle.
• Repeating Patterns: Identifying a sequence of numbers that repeats itself. Example: 1, 2, 3, 1, 2, 3...
• Growing Patterns: Identifying number sequences that progress in a predictable way using a constant amount between numbers.

Word Problems

• Identifying Key Information: Deconstructing problems to isolate the given quantities and the question being asked.
• Determining the Operation: Choosing the appropriate mathematical operations (addition, subtraction, multiplication, division) required to obtain the solution.
• Representing Problems Visually: Using diagrams or models to illustrate the problem and make relationships clearer.
• Checking the Answer: Assessing whether the answer makes sense in the context of the word problem.

Number Properties

• Commutative Property: The order of addends or factors does not affect the sum or product. A+B=B+A
• Associative Property: The way numbers are grouped in addition or multiplication does not affect the sum or product. (A+B)+C=A+(B+C)
• Distributive Property: Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. A x (B+C) = (A x B) + (A x C)
• Identity Property: Adding zero to a number or multiplying a number by one does not change the value of the number. A+0=A and 1xA=A
• Inverse Operations: Operations that undo each other (e.g., addition and subtraction, multiplication and division).
• Zero Property of Multiplication: Any number multiplied by zero equals zero.