[2K24] Authentic CheckPoint 156-560 Exam Questions to Pass First Time

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Questions and Answers

What is required when a digit in the top number is smaller than the corresponding digit in the bottom number during subtraction?

  • Borrowing (correct)
  • Regrouping
  • Trading
  • Aligning

Which statement accurately describes the Commutative Property in relation to subtraction?

  • It is applicable to both addition and subtraction.
  • It states that a - b = b - a.
  • It does not apply to subtraction. (correct)
  • It applies only to addition.

How can subtraction be visually represented on a number line?

  • Starting from zero and moving backward.
  • Moving to the right from the starting point.
  • Starting at a point and moving left by the value being subtracted. (correct)
  • Adding the value being subtracted to the starting point.

Which of the following statements about zero in subtraction is true?

<p>Subtracting zero has no effect on the value of a number. (B)</p> Signup and view all the answers

What is the result of the operation 5 - (-3)?

<p>8 (A)</p> Signup and view all the answers

Which mathematical property confirms that subtraction is not associative?

<p>Associative Property (C)</p> Signup and view all the answers

In negative numbers subtraction, what does subtracting a positive number equate to?

<p>Adding a negative number (B)</p> Signup and view all the answers

Which of these operations demonstrates the Inverse Operation concept in subtraction?

<p>If a - b = c, then b = a + c. (A)</p> Signup and view all the answers

Flashcards

Subtraction borrowing

When the top digit is smaller than the bottom, you borrow 10 from the next higher place value to increase the top digit.

Column Subtraction

A method for subtracting numbers by aligning them vertically to perform the subtraction, starting from the ones place.

Subtraction on number line

Visual representation of subtraction by moving left on a number line by the value being subtracted.

Commutative Property (Subtraction)

The order of numbers in subtraction matters, so a - b ≠ b - a.

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Associative Property (Subtraction)

The grouping in subtraction calculation matters: (a - b) - c ≠ a - (b - c).

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Additive Identity (Subtraction)

Adding zero to a number does not change its value (a - 0 = a).

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Subtracting negative numbers

Subtracting a negative number is like adding a positive number (a - (-b) = a + b).

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Subtraction with negative numbers

Requires careful consideration of signs. Subtracting a positive is the same as adding a negative number. Subtracting a negative is the same as adding a positive number.

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Study Notes

Basic Subtraction Techniques

  • Borrowing: Required when a digit in the top number is smaller than the corresponding digit in the bottom number. A value of 10 is borrowed from the next higher place value to increase the top digit.
  • Column Subtraction: A method aligning numbers vertically by place value to perform subtraction, starting with the ones place.
  • Trading or regrouping: An alternative term for borrowing in subtraction.

Number Line Representation of Subtraction

  • A number line is a visual tool.
  • Subtraction can be depicted by starting at a point on the number line and moving to the left (decreasing) by the value being subtracted.
  • The result is the new location on the number line, representing the difference.
  • Example: 5 - 2. Start at 5 on the number line, move 2 units left. The new point is 3, so 5 - 2 = 3.

Mathematical Properties in Subtraction

  • Commutative Property: Does not apply to subtraction; a - b ≠ b - a (e.g., 5 - 2 ≠ 2 - 5).
  • Associative Property: Does not apply to subtraction; (a - b) - c ≠ a - (b - c) (e.g., (10 - 7) - 2 ≠ 10 - (7 - 2)).
  • Additive Identity: Adding zero to a number does not change its value; a - 0 = a.
  • Subtraction of Zero: Subtracting zero from a number does not change its value; a - 0 = a.
  • Inverse Operations: Subtraction is the inverse operation of addition; if a - b = c, then a = b + c.

Negative Numbers in Subtraction

  • Negative Numbers in Subtraction: Subtraction with negative numbers may involve borrowing across the zero point of the number line.
  • Rules for Negative Numbers in Subtraction:
    • Subtracting a positive number is the same as adding a negative.
    • Subtracting a negative number is the same as adding a positive.
  • Examples:
    • 5 - (-3) = 5 + 3 = 8
    • -2 - 4 = -2 + (-4) = -6
    • -7 - (-1) = -7 + 1 = -6
  • Important Note: Subtraction with negative numbers requires careful consideration of the signs, maintaining the order of operations.

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