QuestionCalculate: $-75 + (-25)$ , $(-0.75) + (-0.25)$ , and $\left(-\frac{3}{4}\right) + \left(-\frac{1}{4}\right)$ .

Studdy Solution

STEP 1

Assumptions1. We are adding two negative numbers in each case. The rules of addition apply as usual, but the sign of the result is negative because both numbers being added are negative

STEP 2

First, let's add the two integers $-75$ and $-25$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-75 + (-25)$

STEP 3

Perform the addition operation.
$-75 + (-25) = -100$

STEP 4

Next, let's add the two decimal numbers $-0.75$ and $-0.25$ . Again, the operation is simple addition, but the result will be negative because both numbers are negative.
$-0.75 + (-0.25)$

STEP 5

Perform the addition operation.
$-0.75 + (-0.25) = -1.00$

STEP 6

Finally, let's add the two fractions $-\frac{3}{4}$ and $-\frac{1}{4}$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-\frac{3}{4} + \left(-\frac{1}{4}\right)$

STEP 7

Perform the addition operation.
$-\frac{3}{4} + \left(-\frac{1}{4}\right) = -1$ In each case, the result of adding two negative numbers is a negative number. The magnitude of the result is the sum of the magnitudes of the two numbers being added.

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QuestionCalculate: $-75 + (-25)$ , $(-0.75) + (-0.25)$ , and $\left(-\frac{3}{4}\right) + \left(-\frac{1}{4}\right)$ .

Studdy Solution

STEP 1

Assumptions1. We are adding two negative numbers in each case. The rules of addition apply as usual, but the sign of the result is negative because both numbers being added are negative

STEP 2

First, let's add the two integers $-75$ and $-25$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-75 + (-25)$

STEP 3

Perform the addition operation.
$-75 + (-25) = -100$

STEP 4

Next, let's add the two decimal numbers $-0.75$ and $-0.25$ . Again, the operation is simple addition, but the result will be negative because both numbers are negative.
$-0.75 + (-0.25)$

STEP 5

Perform the addition operation.
$-0.75 + (-0.25) = -1.00$

STEP 6

Finally, let's add the two fractions $-\frac{3}{4}$ and $-\frac{1}{4}$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-\frac{3}{4} + \left(-\frac{1}{4}\right)$

STEP 7

Perform the addition operation.
$-\frac{3}{4} + \left(-\frac{1}{4}\right) = -1$ In each case, the result of adding two negative numbers is a negative number. The magnitude of the result is the sum of the magnitudes of the two numbers being added.

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QuestionCalculate: −75+(−25)-75 + (-25)−75+(−25), (−0.75)+(−0.25)(-0.75) + (-0.25)(−0.75)+(−0.25), and (−34)+(−14)\left(-\frac{3}{4}\right) + \left(-\frac{1}{4}\right)(−43​)+(−41​).

Studdy Solution

STEP 1

Assumptions1. We are adding two negative numbers in each case. The rules of addition apply as usual, but the sign of the result is negative because both numbers being added are negative

STEP 2

First, let's add the two integers −75-75−75 and −25-25−25. The operation is simple addition, but the result will be negative because both numbers are negative.−75+(−25)-75 + (-25)−75+(−25)

STEP 3

Perform the addition operation.−75+(−25)=−100-75 + (-25) = -100−75+(−25)=−100

STEP 4

Next, let's add the two decimal numbers −0.75-0.75−0.75 and −0.25-0.25−0.25. Again, the operation is simple addition, but the result will be negative because both numbers are negative.−0.75+(−0.25)-0.75 + (-0.25)−0.75+(−0.25)

STEP 5

Perform the addition operation.−0.75+(−0.25)=−1.00-0.75 + (-0.25) = -1.00−0.75+(−0.25)=−1.00

STEP 6

Finally, let's add the two fractions −34-\frac{3}{4}−43​ and −14-\frac{1}{4}−41​. The operation is simple addition, but the result will be negative because both numbers are negative.−34+(−14)-\frac{3}{4} + \left(-\frac{1}{4}\right)−43​+(−41​)

STEP 7

Perform the addition operation.−34+(−14)=−1-\frac{3}{4} + \left(-\frac{1}{4}\right) = -1−43​+(−41​)=−1In each case, the result of adding two negative numbers is a negative number. The magnitude of the result is the sum of the magnitudes of the two numbers being added.

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QuestionCalculate: $-75 + (-25)$ , $(-0.75) + (-0.25)$ , and $\left(-\frac{3}{4}\right) + \left(-\frac{1}{4}\right)$ .

First, let's add the two integers $-75$ and $-25$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-75 + (-25)$

Perform the addition operation.
$-75 + (-25) = -100$

Next, let's add the two decimal numbers $-0.75$ and $-0.25$ . Again, the operation is simple addition, but the result will be negative because both numbers are negative.
$-0.75 + (-0.25)$

Perform the addition operation.
$-0.75 + (-0.25) = -1.00$

Finally, let's add the two fractions $-\frac{3}{4}$ and $-\frac{1}{4}$ . The operation is simple addition, but the result will be negative because both numbers are negative.
$-\frac{3}{4} + \left(-\frac{1}{4}\right)$

Perform the addition operation.
$-\frac{3}{4} + \left(-\frac{1}{4}\right) = -1$ In each case, the result of adding two negative numbers is a negative number. The magnitude of the result is the sum of the magnitudes of the two numbers being added.