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Math  /  Numbers & Operations

QuestionCLEAR CHECK 1.5+0.7−(−2.6)−(−0.9)1.5+0.7-(-2.6)-(-0.9) 0.7−(−2.6−0.9)0.7-(-2.6-0.9)
1.5+0.7−(−2.6−0.9)1.5+0.7-(-2.6-0.9) 1.5+0.7+(−2.6)+(−0.9)1.5+0.7+(-2.6)+(-0.9)

Studdy Solution

STEP 1

1. We are given three expressions to simplify.
2. The expressions involve basic arithmetic operations: addition and subtraction.
3. We need to simplify each expression step by step.

STEP 2

1. Simplify the first expression.
2. Simplify the second expression.
3. Simplify the third expression.

STEP 3

Simplify the first expression: 1.5+0.7−(−2.6)−(−0.9) 1.5 + 0.7 - (-2.6) - (-0.9) .
STEP_1.1: Apply the rule that subtracting a negative number is equivalent to adding its positive counterpart.
1.5+0.7−(−2.6)−(−0.9)=1.5+0.7+2.6+0.9 1.5 + 0.7 - (-2.6) - (-0.9) = 1.5 + 0.7 + 2.6 + 0.9
STEP_1.2: Add the numbers together.
1.5+0.7+2.6+0.9=5.7 1.5 + 0.7 + 2.6 + 0.9 = 5.7

STEP 4

Simplify the second expression: 0.7−(−2.6−0.9) 0.7 - (-2.6 - 0.9) .
STEP_2.1: First, simplify the expression inside the parentheses.
−2.6−0.9=−3.5 -2.6 - 0.9 = -3.5
STEP_2.2: Now, apply the rule that subtracting a negative number is equivalent to adding its positive counterpart.
0.7−(−3.5)=0.7+3.5 0.7 - (-3.5) = 0.7 + 3.5
STEP_2.3: Add the numbers together.
0.7+3.5=4.2 0.7 + 3.5 = 4.2

STEP 5

Simplify the third expression: 1.5+0.7+(−2.6)+(−0.9) 1.5 + 0.7 + (-2.6) + (-0.9) .
STEP_3.1: Combine the positive numbers.
1.5+0.7=2.2 1.5 + 0.7 = 2.2
STEP_3.2: Combine the negative numbers.
(−2.6)+(−0.9)=−3.5 (-2.6) + (-0.9) = -3.5
STEP_3.3: Add the results from the previous steps.
2.2+(−3.5)=2.2−3.5=−1.3 2.2 + (-3.5) = 2.2 - 3.5 = -1.3
The simplified results are:
1. 5.7 5.7
2. 4.2 4.2
3. −1.3 -1.3

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