Integers Grade 6 Quiz
Master integers with our Integers Grade 6 Quiz to challenge and enhance your understanding of these critical mathematical elements. Integers are not just numbers; they represent both positive and negative values crucial for various calculations and real-life applications. This quiz is structured to test your ability to perform basic operations with integers; adding, subtracting, multiplying, and dividing.
Each question is designed to build your skills and confidence in dealing with integers, preparing you for more complex mathematical challenges. Whether you're reinforcing your existing knowledge or exploring integers for the first time, this quiz offers a focused approach to learning. Read moreIt's time to prove your skills and understand how integers function in diverse scenarios.
Integers Grade 6 Questions and Answers
- 1.
What is -5 plus 3?
- A.
-2
- B.
-8
- C.
2
- D.
8
Correct Answer
A. -2Explanation
The correct answer is -2. In the operation of adding -5 and 3, you are essentially dealing with the combination of negative and positive integers. On a number line, starting from zero, you would move 5 units to the left to represent -5, then 3 units to the right to add 3. This process ends 2 units left of zero, resulting in a sum of -2. This demonstrates how addition with integers can be visualized on a number line, showing the movement towards zero from a negative starting point, and then partially offsetting this movement with positive progression.Rate this question:
-
- 2.
7-(9-4) = ____________
- A.
3
- B.
2
- C.
-11
- D.
-3
Correct Answer
B. 2Explanation
To solve this, we need to follow the order of operations (PEMDAS/BODMAS):
Parentheses: 9 - 4 = 5
Subtraction: 7 - 5 = 2
Therefore, 7 - (9 - 4) = 2Rate this question:
-
- 3.
What is the product of -6 and 5?
- A.
-30
- B.
30
- C.
-11
- D.
11
Correct Answer
A. -30Explanation
The correct answer is -30. The multiplication of -6 by 5, involving a negative and a positive integer, adheres to the rule that the product of differing signs is negative. The multiplication of the absolute values (6 and 5) results in 30, and applying the sign rule, it becomes -30. This problem exemplifies the principle that while multiplication magnifies values, the sign of the result is determined by the rules governing the signs of the factors involved.Rate this question:
-
- 4.
What results from dividing -20 by 5?
- A.
-4
- B.
4
- C.
-25
- D.
25
Correct Answer
A. -4Explanation
The correct answer is -4. Dividing -20 by 5 requires determining how many times the divisor (5) fits into the dividend (-20). Since 5 fits into 20 exactly four times, and considering the sign rule for division (a negative divided by a positive yields a negative result), the quotient here is -4. This division example reinforces understanding that the division of integers follows the same absolute value rules as positive numbers, but with additional attention to the signs involved.Rate this question:
-
- 5.
3-(-8)
- A.
-11
- B.
11
- C.
5
- D.
-5
Correct Answer
B. 11Explanation
When subtracting a negative number, we change the operation to addition and change the sign of the second number. So, 3 - (-8) becomes 3 + 8. This is because subtracting a negative value is equivalent to adding its positive counterpart. Visualize a number line: start at 3 and move 8 units to the right (in the positive direction) to arrive at the answer, 11.Rate this question:
-
- 6.
How much is -3 times -7?
- A.
21
- B.
-21
- C.
10
- D.
-10
Correct Answer
A. 21Explanation
The correct answer is 21. Multiplying -3 by -7 includes two negative numbers. According to the rules of multiplication, when two negative integers are multiplied, their signs cancel each other out, resulting in a positive product. Thus, -3 times -7 equals 21. This scenario is useful for illustrating how the multiplication of negatives, unlike addition, leads to a positive outcome due to the inherent rules of arithmetic regarding negative numbers.Rate this question:
-
- 7.
What is the sum of -10 and -5?
- A.
-15
- B.
15
- C.
-5
- D.
5
Correct Answer
A. -15Explanation
The correct answer is -15. In the operation where -10 and -5 are added, both numbers being negative means their individual distances from zero on a number line are combined further into the negative direction. The total distance from zero is the sum of these distances, which results in -15. This problem provides a clear example of how adding two negative integers increases the magnitude of the resultant number in the negative direction.Rate this question:
-
- 8.
What results from -30 divided by -10?
- A.
-3
- B.
3
- C.
-20
- D.
20
Correct Answer
B. 3Explanation
The correct answer is 3. When dividing -30 by -10, both the dividend and the divisor are negative. The rule that the division of two negative numbers results in a positive quotient applies here, hence -30 divided by -10 yields a positive 3. This division demonstrates that negatives cancel out, producing a positive result, and emphasizing the consistent logic within arithmetic operations involving negative numbers.Rate this question:
-
- 9.
How much is 4 minus -12?
- A.
16
- B.
-16
- C.
-8
- D.
8
Correct Answer
A. 16Explanation
The correct answer is 16. For the expression 4 minus -12, subtracting a negative is equivalent to adding its positive equivalent. Therefore, it transforms into 4 + 12, resulting in 16. This calculation teaches the concept that subtraction of a negative leads directly to addition, a key concept in handling integer operations effectively.Rate this question:
-
- 10.
What is the product of -1 and -1?
- A.
1
- B.
-1
- C.
0
- D.
-2
Correct Answer
A. 1Explanation
The correct answer is 1. The product of -1 times -1 involves multiplying two negative integers. According to integer multiplication rules, the negatives cancel out, making the result positive. Therefore, -1 multiplied by -1 equals 1. This is a straightforward example of how multiplication rules apply to negative numbers, emphasizing the unique property that multiplying two negative numbers yields a positive result.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Sep 25, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
May 08, 2009Quiz Created by
Kenkelmann
- Algebra Quizzes
- Arithmetic Quizzes
- Calculus Quizzes
- Data Handling Quizzes
- Discrete Mathematics Quizzes
- Equation Quizzes
- Fraction Quizzes
- Function Quizzes
- Geometry Quizzes
- Graph Quizzes
- Measurement Quizzes
- Number Quizzes
- Percentage Quizzes
- Place Value Quizzes
- Probability Quizzes
- Problem Solving Quizzes
- Ratio Quizzes
- Shape Quizzes
- Statistics Quizzes
- Trigonometry Quizzes