Podcast
Questions and Answers
What is the result of adding (−11) and (−7)?
What is the result of adding (−11) and (−7)?
−18
Which integer should be placed in the blank to solve (−45) − _____ = 0?
Which integer should be placed in the blank to solve (−45) − _____ = 0?
−45
What is the value of (−1) raised to the power of 99?
What is the value of (−1) raised to the power of 99?
−1
What is the additive inverse of −15?
What is the additive inverse of −15?
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Calculate the expression: −30 + 25 − (−19).
Calculate the expression: −30 + 25 − (−19).
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In the sequence −23, −15, −7, 1, 9, 17, what is the next integer?
In the sequence −23, −15, −7, 1, 9, 17, what is the next integer?
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Arrange the integers 12, −11, 0, −15, 8 in ascending order.
Arrange the integers 12, −11, 0, −15, 8 in ascending order.
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Evaluate: (−15) × 0 × (−4) × 8.
Evaluate: (−15) × 0 × (−4) × 8.
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What is the final result of the expression $−96 − (−53) + 186 − 75$?
What is the final result of the expression $−96 − (−53) + 186 − 75$?
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Calculate the result of the expression $79 − 4 − (−98) + (−10)$.
Calculate the result of the expression $79 − 4 − (−98) + (−10)$.
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What is the product of the expression $(−6) × (−5) × (−4) × 5$?
What is the product of the expression $(−6) × (−5) × (−4) × 5$?
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Find the product of the integers $(−13) × (−5) × (−10) × (−2)$.
Find the product of the integers $(−13) × (−5) × (−10) × (−2)$.
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If the sum of two integers is $−126$ and one integer is $−73$, what is the other integer?
If the sum of two integers is $−126$ and one integer is $−73$, what is the other integer?
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A submarine descends from a position of $250 ext{ m}$ below sea level to $345 ext{ m}$. What is its new position?
A submarine descends from a position of $250 ext{ m}$ below sea level to $345 ext{ m}$. What is its new position?
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Study Notes
Multiple Choice Questions
- Option a) states that (−11) + (−7) is greater than (−11) − (−7). This is incorrect.
- Option c) presents that (−11) + (−7) is equal to (−11) − (−7). This is also incorrect.
- The correct evaluation shows that (−11) + (−7) < (−11) − (−7) (option b).
- To make (−45) yield 0, it must be added to +45 (option d).
- The expression (−1)99 simplifies to −1 (option b).
- To find the missing integer in {(−13) + (−51)} + _____ = (−13) + {(−51) + (−73)}, the result is −73 (option a).
- The calculation (−7) − (−5) equals +2 (option d).
- The additive inverse of −15 is +15 (option b).
- The evaluated product (−15) × 0 × (−4) × 8 results in 0 (option a).
- The expression −30 + 25 − (−19) evaluates to 14 (option c).
Arranging Integers
- Integers 12, −11, 0, −15, and 8 in ascending order are: −15, −11, 0, 8, 12.
- Integers 65, −100, −21, −77, 100, and 7 arranged in ascending order are: −100, −77, −21, 7, 65, 100.
Completing Patterns
- The pattern −23, −15, −7, 1, 9, 17 continues in increments of 8.
- The pattern 8, 5, 2, −1, −4, −7 continues in decrements of 3.
Evaluating Expressions
- For −96 − (−53) + 186 − 75:
- Changes to: −96 + 53 + 186 − 75 = −171 + 239 = 68.
- For 79 − 4 − (−98) + (−10):
- Changes to: 79 + 98 − 4 − 10 = 177 − 14 = 163.
Multiplication Evaluations
- The multiplication (−6) × (−5) × (−4) × 5 equals −600.
- The multiplication (−13) × (−5) × (−10) × (−2) equals 1300.
Solving Integer Problem
- The sum of two integers is −126. If one integer is −73, the other integer is found by solving x − 73 = (−126), resulting in x = (−53).
Submarine Position
- A submarine at 250 m below sea level descending to 345 m reaches a new position of 595 m below sea level, calculated as 250 + 345.
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Description
Test your knowledge of integers with this assessment aimed at 7th-grade students. Focused on examples from Exercises 1.1 to 1.3, this quiz will help reinforce your understanding of the topic. Be prepared to bring your answers to school for discussion.
