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Solve the following arithmetic problems: 15. -48 / 6 = ?, 16. -5 -3 2 = ?, 17. -20 - 15 + 10 = ?, 18. -8 + (-3) - (-12) = ?, 19. A submarine is at -150m and rises 80m. What is its new position? 20. Co

Mathematics

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Here are the solutions to the remaining problems:

Section B: Short Answer Questions

  1. Step 1: Perform the division. A negative number divided by a positive number results in a negative number.

    −48÷6=−8-48 \div 6 = -8

    The answer is −8\boxed{-8}.

  2. Step 1: Multiply the first two numbers. The product of two negative numbers is a positive number.

    −5×(−3)=15-5 \times (-3) = 15
  1. Multiply the result by the third number.

    $$
    15 \times 2 = 30
    $$
    The answer is $\boxed{30}$.
    

    17. Step 1: Perform the first subtraction. −20−15=−35 -20 - 15 = -35

  2. Perform the addition.

    $$
    -35 + 10 = -25
    $$
    The answer is $\boxed{-25}$.
    

    18. Step 1: Simplify the expression by changing subtraction of a negative to addition. −8+(−3)−(−12)=−8−3+12 -8 + (-3) - (-12) = -8 - 3 + 12

  3. Perform the operations from left to right.

    $$
    -8 - 3 = -11
    $$
    
  4. Perform the final addition.

    $$
    -11 + 12 = 1
    $$
    The answer is $\boxed{1}$.
    

    19. Step 1: The initial position is −150-150 metres. Rising 80 metres means adding 80 to the current position. −150+80=−70 -150 + 80 = -70 The new position is −70 metres\boxed{-70 \text{ metres}}.

    1. Step 1: Compare −9-9 and −4-4. Since −9-9 is to the left of −4-4 on a number line, it is smaller. −9<−4-9 < -4
  5. Compare 0 and −1-1.

    Since 0 is to the right of −1-1 on a number line, it is larger. 0>−1 0 > -1

  6. Compare −15-15 and 15.

    Since −15-15 is a negative number and 15 is a positive number, −15-15 is smaller. −15<15 -15 < 15 The completed comparisons are: −9<−4 -9 \boxed{<} -4 0>−1 0 \boxed{>} -1 −15<15 -15 \boxed{<} 15

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