1. There are exactly how many whole numbers between -5 and 5?
(A) 10 (B) 3 (C) 4 (D) 5
1. There are exactly how many whole numbers between -5 and 5?
(A) 10 (B) 3 (C) 4 (D) 5
Explanation:
(D) 5
We are aware that whole numbers begin at 0.
Then, there are four whole numbers (0, 1, 2, and 3) between -5 and 5.
2. Three separate integer sums can never equal zero.
2. Three separate integer sums can never equal zero.
Explanation:
False.
Example:
Take the three numbers 5, 10, and -15 as examples.
The three-digit sum is 5 + 10 +. (-15)
= 5 + 10 – 15
= 15 – 15
= 0
Hence, the result of adding three different integers can be 0.
3. Two negative numbers are added to get a positive integer.
3. Two negative numbers are added to get a positive integer.
Explanation:
False.
A positive number can never be obtained from two negative numbers.
Example:
Consider 8 and 10 as two negative whole numbers.
The product of two negative numbers is -8 + - 8 (-10)
= – 8 – 10
= – 18
4. An integer's additive inverse and sum are always equal to zero.
4. An integer's additive inverse and sum are always equal to zero.
Explanation:
True.
Example:
Think about the number 8.
Its additive inverse is -8
An integer's additive inverse plus its sum equals 8 plus (-8)
= 8 – 8
= 0
5. There is always an even difference between an integer and its additive inverse.
5. There is always an even difference between an integer and its additive inverse.
Explanation:
True.
Example:
Consider the number 5.
Its additive inverse is -5.
An integer's inverse additive difference from its value is 5 (-5)
= 5 + 5
= 10
6. On the number line, the distance between 6 and -6 is the same.
6. On the number line, the distance between 6 and -6 is the same.
Explanation
True.
7. Whole numbers make up all integers.
7. Whole numbers make up all integers.
Explanation:
False.
Whole numbers begin with 0, 1, 2, and 3....
Negative integers do not exist in whole numbers, however both positive and negative numbers do exist in integers.
8. Any two positive integers added together are greater than the total of the individual integers.
8. Any two positive integers added together are greater than the total of the individual integers.
Explanation:
True.
Consider the two positive integers 11 and 21, for instance.
The two-digit sum is 11 + 21.
= 32
Any two positive integers added together have a sum that is bigger than their individual values.
9. Any two negative integer sums are always less than the sum of the two integers.
9. Any two negative integer sums are always less than the sum of the two integers.
Explanation:
True.
= -6 + in negative integer (-7)
= – 6 – 7
= – 13
The sum of a negative integer is smaller than the sum of both integers.
10. Every positive integer exceeds every negative one in size.
10. Every positive integer exceeds every negative one in size.
Explanation
True.
Every positive and negative number is larger than the other.
As positive integers always approach zero directly, they are never equal to zero.
11. Any two negative integer sums are always greater than the sum of the two individual integers.
11. Any two negative integer sums are always greater than the sum of the two individual integers.
Explanation:
False.
= -4 + in negative integer (-6)
= – 4 – 6
= – 10
The sum of a negative integer is less than the total of both positive integers.
12. In the number line, -2 is to the left of -5.
12. In the number line, -2 is to the left of -5.
Explanation:
False.
Right of the number line is -2.
13. An integer to the right of a given integer on the number line is always larger than the provided integer.
13. An integer to the right of a given integer on the number line is always larger than the provided integer.
Explanation:
True.
An integer to the right of a given integer is always larger than the integer, as seen by the number line below.
14. Every positive integer is smaller than zero.
14. Every positive integer is smaller than zero.
Explanation:
True.
Zero is always bigger than a negative number and always less than a positive number.
15. Any negative integer is greater than zero.
15. Any negative integer is greater than zero.
Explanation:
True
Zero is always higher than 0 and always less than 0 as integers.
17. Since zero is neither positive nor negative, it cannot be an integer.
17. Since zero is neither positive nor negative, it cannot be an integer.
Explanation:
False.
Despite being neither positive nor negative, zero is an integer.
18. 20. -6 is the total of all integers between -5 and -1.
18. 20. -6 is the total of all integers between -5 and -1.
Explanation:
False.
The total of all integers from -5 to -1 is equal to -4, -3, and -2.
= -9
19. The integer 1's successor is 0.
19. The integer 1's successor is 0.
Explanation:
False.
The number you get when you add 1 to a whole number is the successor.
1 + 1 = the successor
= 2
20. 0 is the smallest integer.
20. 0 is the smallest integer.
Explanation:
False.
0 is bigger than negative integers because we already know that.
Thus, 0 is not the lowest integer.
