(Top Secrets)Cisco 500-452 Exam Real Questions - Pass with Confidence

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Questions and Answers

What is the result of $15 - 7$?

  • 5
  • 22
  • 8 (correct)
  • 7

When borrowing while subtracting multi-digit numbers, what should you do?

  • Regroup from the next higher place value (correct)
  • Change the bottom digit to a zero
  • Add the digit to the top number
  • Ignore the digit in the top number

Which statement about negative numbers is true?

  • Subtracting a positive number equals subtracting zero
  • Subtracting a positive number equals adding the number
  • Subtracting a negative number equals subtracting its absolute value
  • Subtracting a negative number equals adding its positive equivalent (correct)

What property does not apply to subtraction?

<p>Commutative Property (B)</p> Signup and view all the answers

If you have $7890 - 3456$, what is the first step in solving this subtraction?

<p>Align the digits vertically (D)</p> Signup and view all the answers

In the word problem where John has 15 apples and gives away 7, what is the variable to represent John's remaining apples?

<p>x (B)</p> Signup and view all the answers

What is the effect of subtracting zero from any number?

<p>It does not change the original number (D)</p> Signup and view all the answers

When is it appropriate to borrow in subtraction?

<p>When the top digit is smaller than the bottom digit (B)</p> Signup and view all the answers

Flashcards

Subtraction

Finding the difference between two numbers.

Subtracting multi-digit numbers

Subtracting numbers with more than one digit, aligning place values.

Negative numbers

Numbers less than zero, represented with a minus sign (-)

Subtracting a positive number

Adding the opposite (negative) number.

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Subtracting a negative number

Adding the positive equivalent.

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Commutative Property (Subtraction)

Changing the order of numbers in a subtraction problem changes the result.

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Identity Property (Subtraction)

Subtracting zero from a number equals the original number.

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Zero Property (Subtraction)

Subtracting zero from any number results in the original number

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Study Notes

Basic Subtraction

  • Subtraction is the inverse operation of addition. It involves finding the difference between two numbers.
  • To subtract numbers, align the digits vertically, placing the smaller number underneath the larger number.
  • Subtract the digits in each place value column, starting from the rightmost column. Borrow from the next higher place value if necessary.

Subtracting Multi-digit Numbers

  • When subtracting multi-digit numbers, it's crucial to maintain the correct place values.
  • Example: To subtract 3456 from 7890, align the digits, and subtract column-by-column.
  • If a digit in the top number is smaller than the digit below it, regroup (borrow).

Negative Numbers

  • Negative numbers are numbers less than zero. They are often represented with a minus sign ("-") in front of the number.
  • Subtracting a positive number is the same as adding the opposite (negative) number.
  • Example: 5 - 8 = 5 + (-8) = -3
  • Subtracting a negative number is the same as adding the positive equivalent.
  • Example: 5 - (-8) = 5 + 8 = 13

Word Problems

  • Word problems require applying subtraction to real-world scenarios.
  • Read the problem carefully to understand the relationship between the numbers and identify what needs to be found.
  • Example: If John has 15 apples and gives away 7, how many apples does he have left? (15 - 7 = 8)
  • Translate the problem into an equation (or a model).
  • Carefully define the variables used in the problem.

Subtraction Properties

  • Commutative Property (does not apply): Changing the order of the numbers being subtracted changes the result. Subtraction is not commutative. (e.g., 5 - 3 ≠ 3 - 5)

  • Associative Property (does not apply): The grouping of numbers in a subtraction problem affects the result, so the associative property does not hold for subtraction.

  • Identity Property: Subtracting zero from a number equals the original number (e.g., 5 - 0 = 5).

  • Zero Property: When zero is subtracted from a number, the difference is the number itself (e.g., 6 - 0=6).

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