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Math  /  Numbers & Operations

QuestionSubtract. 1−(−4)=−27−34=\begin{array}{c} 1-(-4)= \\ -27-34= \end{array} □\square □\square □\square Explanation Check

Studdy Solution

STEP 1

1. We are performing basic arithmetic operations involving integers.
2. The subtraction operation may involve negative numbers.
3. We need to solve two separate subtraction problems.

STEP 2

1. Solve the first subtraction problem.
2. Solve the second subtraction problem.
3. Verify the solutions.

STEP 3

Identify the operation in the first problem: 1−(−4) 1 - (-4) .

STEP 4

Recall that subtracting a negative number is equivalent to adding its positive counterpart.
1−(−4)=1+4 1 - (-4) = 1 + 4

STEP 5

Perform the addition:
1+4=5 1 + 4 = 5

STEP 6

Identify the operation in the second problem: −27−34 -27 - 34 .

STEP 7

Recognize that subtracting a positive number from a negative number involves adding the absolute value of the second number to the first number, while retaining the negative sign.
−27−34=−(27+34) -27 - 34 = - (27 + 34)

STEP 8

Perform the addition inside the parentheses:
27+34=61 27 + 34 = 61

STEP 9

Apply the negative sign to the result:
−61 -61

STEP 10

Verify the solutions by re-evaluating each problem:
For 1−(−4) 1 - (-4) , verify:
1+4=5 1 + 4 = 5
For −27−34 -27 - 34 , verify:
−(27+34)=−61 - (27 + 34) = -61
Both solutions are verified as correct.
The solutions are:
1−(−4)=5−27−34=−61\begin{array}{c} 1-(-4) = \boxed{5} \\ -27-34 = \boxed{-61} \end{array}

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