Solved on Feb 25, 2024

Find the value of the expression $28.6-35+12.7-(-5.2)$ .

STEP 1

Assumptions
1. We are working with real numbers.
2. The subtraction and addition of real numbers follow the associative and commutative properties.

STEP 2

First, we need to simplify the expression by performing the operations in the correct order. According to the properties of real numbers, we can rearrange the terms for easier calculation.
$28.6 - 35 + 12.7 - (-5.2)$

STEP 3

We can simplify the expression by first adding the positive numbers together and then adding the negative numbers together.
$28.6 + 12.7 + (-35) - (-5.2)$

STEP 4

Now, we calculate the sum of the positive numbers.
$28.6 + 12.7 = 41.3$

STEP 5

Next, we calculate the sum of the negative numbers. Remember that subtracting a negative number is the same as adding its positive counterpart.
$-35 - (-5.2) = -35 + 5.2$

STEP 6

Now, perform the addition of the negative numbers.
$-35 + 5.2 = -29.8$

STEP 7

Finally, add the results from STEP_4 and STEP_6 together.
$41.3 + (-29.8)$

STEP 8

Perform the final addition to find the value of the expression.
$41.3 - 29.8 = 11.5$
The value of the expression is $11.5.

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Find the value of the expression $28.6-35+12.7-(-5.2)$ .

STEP 1

Assumptions
1. We are working with real numbers.
2. The subtraction and addition of real numbers follow the associative and commutative properties.

STEP 2

First, we need to simplify the expression by performing the operations in the correct order. According to the properties of real numbers, we can rearrange the terms for easier calculation.
$28.6 - 35 + 12.7 - (-5.2)$

STEP 3

We can simplify the expression by first adding the positive numbers together and then adding the negative numbers together.
$28.6 + 12.7 + (-35) - (-5.2)$

STEP 4

Now, we calculate the sum of the positive numbers.
$28.6 + 12.7 = 41.3$

STEP 5

Next, we calculate the sum of the negative numbers. Remember that subtracting a negative number is the same as adding its positive counterpart.
$-35 - (-5.2) = -35 + 5.2$

STEP 6

Now, perform the addition of the negative numbers.
$-35 + 5.2 = -29.8$

STEP 7

Finally, add the results from STEP_4 and STEP_6 together.
$41.3 + (-29.8)$

STEP 8

Perform the final addition to find the value of the expression.
$41.3 - 29.8 = 11.5$
The value of the expression is $11.5.

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Find the value of the expression 28.6−35+12.7−(−5.2)28.6-35+12.7-(-5.2)28.6−35+12.7−(−5.2).

STEP 1

Assumptions1. We are working with real numbers.2. The subtraction and addition of real numbers follow the associative and commutative properties.

STEP 2

First, we need to simplify the expression by performing the operations in the correct order. According to the properties of real numbers, we can rearrange the terms for easier calculation.28.6−35+12.7−(−5.2)28.6 - 35 + 12.7 - (-5.2)28.6−35+12.7−(−5.2)

STEP 3

We can simplify the expression by first adding the positive numbers together and then adding the negative numbers together.28.6+12.7+(−35)−(−5.2)28.6 + 12.7 + (-35) - (-5.2)28.6+12.7+(−35)−(−5.2)

STEP 4

Now, we calculate the sum of the positive numbers.28.6+12.7=41.328.6 + 12.7 = 41.328.6+12.7=41.3

STEP 5

Next, we calculate the sum of the negative numbers. Remember that subtracting a negative number is the same as adding its positive counterpart.−35−(−5.2)=−35+5.2-35 - (-5.2) = -35 + 5.2−35−(−5.2)=−35+5.2

STEP 6

Now, perform the addition of the negative numbers.−35+5.2=−29.8-35 + 5.2 = -29.8−35+5.2=−29.8

STEP 7

Finally, add the results from STEP_4 and STEP_6 together.41.3+(−29.8)41.3 + (-29.8)41.3+(−29.8)

STEP 8

Perform the final addition to find the value of the expression.41.3−29.8=11.541.3 - 29.8 = 11.541.3−29.8=11.5The value of the expression is $11.5.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of the expression $28.6-35+12.7-(-5.2)$ .

Assumptions
1. We are working with real numbers.
2. The subtraction and addition of real numbers follow the associative and commutative properties.

First, we need to simplify the expression by performing the operations in the correct order. According to the properties of real numbers, we can rearrange the terms for easier calculation.
$28.6 - 35 + 12.7 - (-5.2)$

We can simplify the expression by first adding the positive numbers together and then adding the negative numbers together.
$28.6 + 12.7 + (-35) - (-5.2)$

Now, we calculate the sum of the positive numbers.
$28.6 + 12.7 = 41.3$

Next, we calculate the sum of the negative numbers. Remember that subtracting a negative number is the same as adding its positive counterpart.
$-35 - (-5.2) = -35 + 5.2$

Now, perform the addition of the negative numbers.
$-35 + 5.2 = -29.8$

Finally, add the results from STEP_4 and STEP_6 together.
$41.3 + (-29.8)$

Perform the final addition to find the value of the expression.
$41.3 - 29.8 = 11.5$
The value of the expression is $11.5.