Add the following integers: (4) + (-14) + (-3) + (-16) + (7), (-6) + (27) + (-15) + (18) + (-13), (-3) + (-9) + (-6) + (7) + (2), (-10) + (2) + (-4) + (-3) + (8) + (9), (-12) + (5)... Add the following integers: (4) + (-14) + (-3) + (-16) + (7), (-6) + (27) + (-15) + (18) + (-13), (-3) + (-9) + (-6) + (7) + (2), (-10) + (2) + (-4) + (-3) + (8) + (9), (-12) + (5) + (15) + (-2) + (12) + (-19) + (1)
Understand the Problem
The question provides a set of integer addition problems that require step-by-step solutions. The goal is to perform the operations and display the results while adhering to the rules for adding integers.
Answer
1. $-22$ 2. $11$ 3. $-23$ 4. $2$ 5. $0$
Answer for screen readers
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$-22$
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$11$
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$-23$
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$2$
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$0$
Steps to Solve
- Problem 1: Compute $4 + (-14) + (-3) + (-16) + 7$
Start by adding the integers step by step:
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First, add $4$ and $(-14)$:
$$ 4 + (-14) = 4 - 14 = -10 $$
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Next, add $(-10)$ and $(-3)$:
$$ -10 + (-3) = -10 - 3 = -13 $$
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Then, add $(-13)$ and $(-16)$:
$$ -13 + (-16) = -13 - 16 = -29 $$
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Finally, add $(-29)$ and $7$:
$$ -29 + 7 = -29 + 7 = -22 $$
- Problem 2: Compute $(-6) + (27) + (-15) + (18) + (-13)$
Add these integers step by step:
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First, add $(-6)$ and $27$:
$$ -6 + 27 = 27 - 6 = 21 $$
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Next, add $21$ and $(-15)$:
$$ 21 + (-15) = 21 - 15 = 6 $$
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Then, add $6$ and $18$:
$$ 6 + 18 = 24 $$
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Finally, add $24$ and $(-13)$:
$$ 24 + (-13) = 24 - 13 = 11 $$
- Problem 3: Compute $(-3) + (-9) + (-6) + (-7) + (2)$
Adding these integers step by step:
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First, add $(-3)$ and $(-9)$:
$$ -3 + (-9) = -3 - 9 = -12 $$
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Next, add $(-12)$ and $(-6)$:
$$ -12 + (-6) = -12 - 6 = -18 $$
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Then, add $(-18)$ and $(-7)$:
$$ -18 + (-7) = -18 - 7 = -25 $$
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Finally, add $(-25)$ and $2$:
$$ -25 + 2 = -23 $$
- Problem 4: Compute $(-10) + (2) + (-4) + (-3) + (8) + (9)$
Perform this addition step by step:
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First, add $(-10)$ and $2$:
$$ -10 + 2 = -8 $$
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Next, add $(-8)$ and $(-4)$:
$$ -8 + (-4) = -8 - 4 = -12 $$
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Then, add $(-12)$ and $(-3)$:
$$ -12 + (-3) = -12 - 3 = -15 $$
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Next, add $(-15)$ and $8$:
$$ -15 + 8 = -7 $$
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Finally, add $(-7)$ and $9$:
$$ -7 + 9 = 2 $$
- Problem 5: Compute $(-12) + (5) + (15) + (-2) + (12) + (-19) + (1)$
Add these integers step by step:
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First, add $(-12)$ and $5$:
$$ -12 + 5 = -7 $$
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Next, add $(-7)$ and $15$:
$$ -7 + 15 = 8 $$
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Then, add $8$ and $(-2)$:
$$ 8 + (-2) = 6 $$
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Next, add $6$ and $12$:
$$ 6 + 12 = 18 $$
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Then, add $18$ and $(-19)$:
$$ 18 + (-19) = 18 - 19 = -1 $$
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Finally, add $(-1)$ and $1$:
$$ -1 + 1 = 0 $$
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$-22$
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$11$
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$-23$
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$2$
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$0$
More Information
These answers demonstrate the accurate calculations of integer additions, considering both positive and negative values. Integer addition is a fundamental part of arithmetic that helps in understanding higher-level math operations.
Tips
- Not paying attention to the signs (positive vs. negative) can lead to incorrect answers.
- Forgetting to add or subtract the integers step by step rather than in a single operation can also cause errors.
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