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Solve the following arithmetic problems: c) (0.5) + (-0.25) + (-0.2); d) (200) ÷ (1/4) ÷ (0.2)

Mathematics

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Answers

2 parts
c
0.05
d
4000

Step-by-step solution

6 steps

Here are the solutions to the problems.

Part c· 3 steps

  1. Rewrite the expression by removing the parentheses.

    (0.5)+(−0.25)+(−0.2)=0.5−0.25−0.2(0.5) + (-0.25) + (-0.2) = 0.5 - 0.25 - 0.2
  2. Perform the subtraction from left to right.

    0.5−0.25=0.250.5 - 0.25 = 0.25
  3. Perform the final subtraction.

    0.25−0.2=0.050.25 - 0.2 = 0.05

    The solution is 0.05\boxed{0.05}.

Part d4000

  1. Perform the first division from left to right.

    Dividing by a fraction is equivalent to multiplying by its reciprocal.

    (200)÷(14)=200×4=800(200) \div \left(\frac{1}{4}\right) = 200 \times 4 = 800
  2. Perform the second division with the result from Step 1.

    800÷(0.2)800 \div (0.2)
  3. Convert the decimal to a fraction or perform the division directly.

    800÷0.2=800÷210=800÷15=800×5=4000800 \div 0.2 = 800 \div \frac{2}{10} = 800 \div \frac{1}{5} = 800 \times 5 = 4000

    The solution is 4000\boxed{4000}.

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