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6th Grade > Mathematics

INTEGERS MCQs

Total Questions : 99 | Page 3 of 10 pages
Question 21. If we want to mark +3 on a number line, we will move 3 units to the right side of zero on the number line.
  1.    True
  2.    False
  3.    Both statements are false.
  4.    Both statements are true.
 Discuss Question
Answer: Option A. -> True
:
A
For positive values, we move towards theright side of the zeroand for negative values, we move towards the left side of the zero, on the number line. So for marking +3, which is a positive integer, we have to move3 steps towards the right side of zero.
Question 22. Choose the correct option:  
Statement 1: Zero is less than every negative integer.
Statement 2: Zero is more than every positive integer.
  1.    Statement 1 is true and statement 2 is false.
  2.    Statement 1 is false and statement 2 is true.
  3.    Both statements are false.
  4.    Both statements are true.
 Discuss Question
Answer: Option C. -> Both statements are false.
:
C
On any number line, integersthat are on the left side of a number are lessthan that integer.
All negative integers are on the left of0 on a number line. So zero should be greater than all negative integers.
So, Statement 1 is false.
Choose The Correct Option:  Statement 1: Zero Is Less Than ...
Positive integers lie on the right of0 on a number line. So zero should be less than all positive integers.
So, Statement 2is also false.
Question 23. On a number line, integers are marked at __________.
  1.    Unequal intervals.
  2.    Irregular intervals.
  3.    Exactly equal intervals
  4.    Randomly
 Discuss Question
Answer: Option C. -> Exactly equal intervals
:
C
On a number line, all integersare marked at equal intervals.
On A Number Line, Integers Are Marked At __________.
Question 24. If profit is represented by '+' sign and loss is represented by '-' sign (as both are opposite situations) then, how will you represent a profit of Rs.109 and a loss of Rs.901?
  1.    -Rs.109 and +Rs.901 respectively.
  2.    -Rs.109 and -Rs.901 respectively.
  3.    +Rs.109 and +Rs.901 respectively.
  4.    +Rs.109 and -Rs.901 respectively.
 Discuss Question
Answer: Option D. -> +Rs.109 and -Rs.901 respectively.
:
D
A profit of Rs. 109 is represented as +Rs.109.
Aloss of Rs. 901 is represented as -Rs.901.
Question 25. Numbers are said to be in descending order when they are arranged from the largest to the smallest number. E.g. 25, 21, 17, 13 and 9 are arranged in descending order.
Write the following integers in descending order? [3 MARKS]
(a). 15, -14, 13, 12, 0
(b). 3, -3, 5, -5, 7
(c). 6, -7, -8, 9, -10
 Discuss Question

:
Each option: 1 Mark
(a). 15, 13, 12, 0, -14
⇒(15 is the largest and -14 is the smallest among the given integers)
(b). 7, 5, 3, -3, -5
⇒(7 is the largest and -5 is the smallest among the given integers)
(c). 9, 6, -7, -8, -10
⇒(9 is the largest and -10 is the smallest among the given integers)
Question 26. Evaluate: [1 MARK]
−13+(−69)+57−(−89)−(53+(−49))
 Discuss Question

:
Solution: 1 Mark
−13+(−69)+57−(−89)−(53+(−49))
=−13−69+57+89−(53−49)
=−13−69+57+89−53+49
First, take all ‘−’ terms and then take all ‘+’ terms and add them,
=(−13−69−53)+(57+89+49)
=−135+195
=60
Question 27. Answer the following questions: [3 MARKS]
(a). Which integer divides the number line into two halves?
(b). The third integer greater than −6 is?
(c). Which integer is opposite of −5?
 Discuss Question

:
Each option: 1 Mark
(a). 0
(b). −6+3=−3
(c). The opposite of −5 is +5
Question 28. (a). Choose the largest and smallest integer among the following:  [4 MARKS]
32,−50,−75,120,−365,175
(b). Simplify:
 (−3)+(−2)+(−5)+7
(c). −6÷3=?
(d). 3×6×2×(−40)=?
 Discuss Question

:
Each option: 1 Mark
(a). Largest = 175, Smallest = −365
(b). [(−3)+(−2)]+[(−5)+7]
⇒[−3−2]+[−5+7]
⇒[−5+2]=−3
(c).−6÷−3=−6−3=2
(⇒−÷−=+)
(d).3×6×2×(−40)
⇒18×2×(−40)
⇒36×(−40)=−1440
(⇒as+×−=−)
Question 29. Divide: [2 MARKS]
(i) 24 by the predecessor of -2
(ii) -82 by the successor of -2
 Discuss Question

:
Each option: 1 Mark
(i) The predecessor of −2 is −3
because −3 is 1 less than −2
∴24−3=−8
(ii) The successor of −2 is −1
because −1 is 1 more than −2
∴−82−1=82
Question 30. Add 3 and (-15) to the sum of 17 and (-5). [2 MARKS]
 Discuss Question

:
Steps: 1 Mark
Answer: 1 Mark
Sum of 17 and -5
⇒17+(−5)=17−5=12
Now, adding 3 and (-15)to 12
⇒12+3+(−15)=15+(−15)
⇒15−15=0

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