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Solve the following math problems involving integers, including ordering, addition, subtraction, multiplication, and division.

Mathematics

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Answer

A

Step-by-step solution

2 steps

Here are the solutions to the problems:

Section A: Multiple Choice Questions

  1. To order numbers from smallest to largest, we arrange them in increasing value. The numbers are −5,−2,0,3-5, -2, 0, 3. The correct order is −5,−2,0,3-5, -2, 0, 3. The correct option is A.

  2. Step 1: Perform the addition.

    −8+5=−3-8 + 5 = -3

    The correct option is B.

  3. Step 1: Simplify the expression by changing subtraction of a negative to addition.

    −4−(−7)=−4+7-4 - (-7) = -4 + 7
  1. Perform the addition.

    $$
    -4 + 7 = 3
    $$
    The correct option is **B**.
    

    4. Step 1: Multiply the two negative numbers. The product of two negative numbers is a positive number. (−6)×(−9)=54 (-6) \times (-9) = 54 The correct option is A.

    1. Step 1: Perform the division. The division of two negative numbers results in a positive number. −36÷(−4)=9-36 \div (-4) = 9 The correct option is A.

    Section B: Short Answer Questions

    1. The number line shows points at −7-7, −1-1, and 0. The representation is already drawn on the image.

    2. Step 1: Perform the addition.

      −12+8=−4-12 + 8 = -4

      The answer is −4\boxed{-4}.

    3. Step 1: Simplify the expression by changing subtraction of a negative to addition.

      15−(−6)=15+615 - (-6) = 15 + 6
  2. Perform the addition.

    $$
    15 + 6 = 21
    $$
    The answer is $\boxed{21}$.
    

    14. Step 1: Multiply the numbers. The product of a negative number and a positive number is a negative number. (−7)×4=−28 (-7) \times 4 = -28 The answer is −28\boxed{-28}.

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