In 6th grade integers worksheet contains various types of questions on integers, absolute value of an integer, addition of integer, properties of integer, subtraction of integer, properties of subtraction of integers and word problems on integers.

I. Multiple Choice Questions (MCQ) on Integers.

Tick (the correct option.

1. The value of |-67| - |-28| is

(i) -29

(ii) 39

(iii) 56

(iv) -76

2. The predecessor of -209 is

(i) -109

(ii) 901

(iii) -210

(iv) -208

3. The additive inverse of -1 is

(i) -1

(ii) 0

(iii) -2

(iv) 1

4. The sum of two integers is -178. If one of them is 119, then the other one is

(i) -297

(ii) 178

(iii) -119

(iv) 290

5. On subtracting -24 from -12, we get

(i) -12

(ii) 36

(iii) -36

(iv) 12

I. 1. The value of |-67| - |-28| is (ii) 39

2. The predecessor of -209 is (iii) -210

3. The additive inverse of -1 is (iv) 1

4. The sum of two integers is -178. If one of them is 119, then the other one is (i) -297

5. On subtracting -24 from -12, we get (iv) 12

II. State True or False:

(i) -7 and 7 are equidistant from 0 on the number line.

(ii) Integers are closed under subtraction.

(iii) On the number line -10 lies on the right of 0

(iv) The value of -14 - (-6) is -20.

(v) The sum of two integers is 45. If one of them is -38, then the other is 83.

II. (i) True

(ii) True

(iii) False

(iv) False

(v) True

III. Fill in the blanks.

(i) The smallest 5-digit negative integer is __________.

(ii) The sum of two integers is always an __________.

(iii) __________ is the smallest +ve integer.

(iv) Opposite of going 55 km to the East is going 55 km to the  __________.

(v) 17 km below the sea level can be indicated using integers as  __________.

III. (i) -99999

(ii) integer

(iii) 1

(iv) West

(v) -17

IV. Match the columns.

 Column A Column B (i) -37 - (-15) (a) 101 (ii) - (-500) (b) -26 (iii) -19 + (-12) - (-5) (c) -22 (iv) Negative of -999 (d) 500 (v) The value of |-101| (e) 999

Solution:

IV. (i)  (c)

(ii)  (d)

(iii)  (b)

(iv) → (e)

(v) → (a)

V. Word Problems on Integers.

(i) Two integers have a difference of 6 and a sum of -40. What are the integers?

(ii) A fruit-seller had a profit of $178 on Saturday, a loss of$70 on Sunday and a loss of $89 on Monday. Find his net profit or loss in these three days. Answer: V. (i) -17 and -23 (ii) Profit$19

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