Integers

Q1: 6 more than -3 is

Solution:
6 more than -3 means we are adding 6 to -3.
So, we have:
-3 + 6 = 3
Correct Answer: c. 3.

Q2: 5 less than -8 is

Solution:
5 less than -8 means we subtract 5 from -8.
So, we have:
-8 – 5 = -13
Correct Answer: b. -13.

Q3: 8 + |-15| = ?

Solution:
The absolute value of -15 is 15.
So, we have:
8 + 15 = 23
Correct Answer: d. none of these.

Q4: (-36) + (7) = ?

Solution:
We are adding -36 and 7.
So, we have:
-36 + 7 = -29
Correct Answer: a. -29.

Q5: (-28) – (-6) = ?

Solution:
Subtracting a negative number is the same as adding its positive counterpart.
So, we have:
-28 + 6 = -22
Correct Answer: b. -22.

Q6: The successor of -16 is

Solution:
The successor of a number is one more than the given number.
So, we have:
-16 + 1 = -15
Correct Answer: c. -15.

Q7: The predecessor of -13 is

Solution:
The predecessor of a number is one less than the given number.
So, we have:
-13 – 1 = -14
Correct Answer: a. -14.

Q8: The additive inverse of 5 is

Solution:
The additive inverse of a number is its opposite. So, the additive inverse of 5 is -5.
Correct Answer: b. -5.

Q9: 12 – (-8) = ?

Solution:
Subtracting a negative number is the same as adding its positive counterpart.
So, we have:
12 + 8 = 20
Correct Answer: c. 20.

Q10: On subtracting -7 from 0, We get

Solution:
We are subtracting -7 from 0.
So, we have:
0 – (-7) = 0 + 7 = 7
Correct Answer: b. 7.

Q11: (-8) + (-9) + 13 + (-14) = ?

Solution:
Adding all the integers together:
So, we have:
(-8) + (-9) + 13 + (-14) = -8 – 9 + 13 – 14 = -18
Correct Answer: a. -18.

Q12: The sum of two integers is -22. If one of them is 8, then the other is

Solution:
Let the other integer be x.
We are given: 8 + x = -22
Solving for x:
x = -22 – 8 = -30
Correct Answer: c. -30.

Q13: What should be added to 8 to get -15?

Solution:
Let the number to be added be x.
We are given: 8 + x = -15
Solving for x:
x = -15 – 8 = -23
Correct Answer: c. -23.

Q14: What should be subtracted from (-3) to get 15?

Solution:
Let the number to be subtracted be x.
We are given: -3 – x = 15
Solving for x:
x = -3 – 15 = -18
Correct Answer: d. 18.

Answer the following questions with respect to the number line shown below.

                P                       Q     R
←───|─────|─────|─────|─────|─────|─────|─────|─────|──────→
   -20         -10          0           10          20

Q15: The change in moving from point P to point Q is:

P = -10, Q = 10
Change = Q – P = 10 – (-10) = 10 + 10 = 20
Correct Answer: a. 20

    P          Q
←───|──────────|────→
   -10         10

Q16: The change in moving from point R to point P is:

R = 15, P = -10
Change = P – R = -10 – 15 = -25
Correct Answer: b. -25

    P                      R
←───|──────────────────────|────→
   -10                     15

Q17: At what number must a point S be placed for the change between points P and S to be 15?

P = -10
Let S = ?
Change = S – P = 15 → S – (-10) = 15 → S + 10 = 15 → S = 15 – 10 = 5
Correct Answer: a. 5

    P          S
←───|──────────|────→
  -10          5

Q18: At what number must a point T be placed for the change between points R and T to be -30?

R = 15
Let T = ?
Change = T – R = -30 → T – 15 = -30 → T = -30 + 15 = -15
Correct Answer: c. -15

    T                      R
←───|──────────────────────|────→
   -15                     15