NCERT Exemplar Class 6 Maths Unit 3 Integers - Free Printable
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Step-by-step solution for: NCERT Exemplar Class 6 Maths Unit 3 Integers
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Show Answer Key & Explanations
Step-by-step solution for: NCERT Exemplar Class 6 Maths Unit 3 Integers
Let's solve each of these problems step by step and explain the reasoning.
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40. On the number line, -15 is to the ______ of zero.
- Negative numbers are to the left of zero on the number line.
✔ Answer: left
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41. On the number line, 10 is to the ______ of zero.
- Positive numbers are to the right of zero on the number line.
✔ Answer: right
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42. The additive inverse of 14 is ______.
- The additive inverse of a number is the number that, when added to the original, gives zero.
So, $ 14 + (-14) = 0 $.
✔ Answer: -14
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43. The additive inverse of -1 is ______.
- $ -1 + 1 = 0 $, so the additive inverse is 1.
✔ Answer: 1
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44. The additive inverse of 0 is ______.
- $ 0 + 0 = 0 $, so the additive inverse of 0 is 0.
✔ Answer: 0
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45. The number of integers lying between -5 and 5 is ______.
- "Between" means not including -5 and 5.
Integers from -4 to 4:
-4, -3, -2, -1, 0, 1, 2, 3, 4 → total of 9 integers
✔ Answer: 9
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46. (-11) + (-2) + (-1) = ______
- Add all negative numbers:
$ -11 - 2 - 1 = -14 $
✔ Answer: -14
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47. ____ + (-11) + 111 = 130
Let the missing number be $ x $.
So:
$ x - 11 + 111 = 130 $
$ x + 100 = 130 $
$ x = 130 - 100 = 30 $
✔ Answer: 30
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48. (-80) + 0 + (-90) = ______
- Adding zero doesn't change value:
$ -80 - 90 = -170 $
✔ Answer: -170
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49. ____ - 3456 = -8910
Let the missing number be $ x $.
$ x - 3456 = -8910 $
Add 3456 to both sides:
$ x = -8910 + 3456 = -5454 $
✔ Answer: -5454
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50. (-11) + (-15) _____ 11 + 15
Left side: $ -11 -15 = -26 $
Right side: $ 11 + 15 = 26 $
So: $ -26 < 26 $
✔ Answer: < (less than)
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51. (-71) + (+9) _____ (-81) + (-9)
Left: $ -71 + 9 = -62 $
Right: $ -81 - 9 = -90 $
Now compare: $ -62 > -90 $
✔ Answer: > (greater than)
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52. 0 _____ 1
Zero is less than one.
✔ Answer: < (less than)
---
53. -60 _____ 50
Negative number is less than positive number.
✔ Answer: < (less than)
---
54. -10 _____ -11
On number line, -10 is to the right of -11 → greater
So: $ -10 > -11 $
✔ Answer: > (greater than)
---
55. -101 _____ -102
-101 is greater than -102 (closer to zero)
So: $ -101 > -102 $
✔ Answer: > (greater than)
---
56. (-2) + (-5) + (-6) _____ (-3) + (-4) + (-6)
Left: $ -2 -5 -6 = -13 $
Right: $ -3 -4 -6 = -13 $
So they are equal
✔ Answer: = (equal to)
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57. 0 _____ -2
Zero is greater than any negative number
✔ Answer: > (greater than)
---
58. 1 + 2 + 3 _____ (-1) + (-2) + (-3)
Left: $ 1+2+3 = 6 $
Right: $ -1-2-3 = -6 $
So: $ 6 > -6 $
✔ Answer: > (greater than)
---
40. left
41. right
42. -14
43. 1
44. 0
45. 9
46. -14
47. 30
48. -170
49. -5454
50. <
51. >
52. <
53. <
54. >
55. >
56. =
57. >
58. >
Let me know if you'd like this in a printable format or need explanations for any specific problem!
---
40. On the number line, -15 is to the ______ of zero.
- Negative numbers are to the left of zero on the number line.
✔ Answer: left
---
41. On the number line, 10 is to the ______ of zero.
- Positive numbers are to the right of zero on the number line.
✔ Answer: right
---
42. The additive inverse of 14 is ______.
- The additive inverse of a number is the number that, when added to the original, gives zero.
So, $ 14 + (-14) = 0 $.
✔ Answer: -14
---
43. The additive inverse of -1 is ______.
- $ -1 + 1 = 0 $, so the additive inverse is 1.
✔ Answer: 1
---
44. The additive inverse of 0 is ______.
- $ 0 + 0 = 0 $, so the additive inverse of 0 is 0.
✔ Answer: 0
---
45. The number of integers lying between -5 and 5 is ______.
- "Between" means not including -5 and 5.
Integers from -4 to 4:
-4, -3, -2, -1, 0, 1, 2, 3, 4 → total of 9 integers
✔ Answer: 9
---
46. (-11) + (-2) + (-1) = ______
- Add all negative numbers:
$ -11 - 2 - 1 = -14 $
✔ Answer: -14
---
47. ____ + (-11) + 111 = 130
Let the missing number be $ x $.
So:
$ x - 11 + 111 = 130 $
$ x + 100 = 130 $
$ x = 130 - 100 = 30 $
✔ Answer: 30
---
48. (-80) + 0 + (-90) = ______
- Adding zero doesn't change value:
$ -80 - 90 = -170 $
✔ Answer: -170
---
49. ____ - 3456 = -8910
Let the missing number be $ x $.
$ x - 3456 = -8910 $
Add 3456 to both sides:
$ x = -8910 + 3456 = -5454 $
✔ Answer: -5454
---
50. (-11) + (-15) _____ 11 + 15
Left side: $ -11 -15 = -26 $
Right side: $ 11 + 15 = 26 $
So: $ -26 < 26 $
✔ Answer: < (less than)
---
51. (-71) + (+9) _____ (-81) + (-9)
Left: $ -71 + 9 = -62 $
Right: $ -81 - 9 = -90 $
Now compare: $ -62 > -90 $
✔ Answer: > (greater than)
---
52. 0 _____ 1
Zero is less than one.
✔ Answer: < (less than)
---
53. -60 _____ 50
Negative number is less than positive number.
✔ Answer: < (less than)
---
54. -10 _____ -11
On number line, -10 is to the right of -11 → greater
So: $ -10 > -11 $
✔ Answer: > (greater than)
---
55. -101 _____ -102
-101 is greater than -102 (closer to zero)
So: $ -101 > -102 $
✔ Answer: > (greater than)
---
56. (-2) + (-5) + (-6) _____ (-3) + (-4) + (-6)
Left: $ -2 -5 -6 = -13 $
Right: $ -3 -4 -6 = -13 $
So they are equal
✔ Answer: = (equal to)
---
57. 0 _____ -2
Zero is greater than any negative number
✔ Answer: > (greater than)
---
58. 1 + 2 + 3 _____ (-1) + (-2) + (-3)
Left: $ 1+2+3 = 6 $
Right: $ -1-2-3 = -6 $
So: $ 6 > -6 $
✔ Answer: > (greater than)
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✔ Final Answers:
40. left
41. right
42. -14
43. 1
44. 0
45. 9
46. -14
47. 30
48. -170
49. -5454
50. <
51. >
52. <
53. <
54. >
55. >
56. =
57. >
58. >
Let me know if you'd like this in a printable format or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet integers.
