Page 33 - Maths Skill - 6

The Other Side of Zero 31

There is something special about the numbers in these two grids.
Top row : 5 + (- 2) + (- 4) = - 1 Top row : 8 + (- 3) + (- 5) = 0

Bottom row : (- 3) + 9 + (- 7) = - 1 Bottom row : (- 2) + (- 7) + 9 = 0
Left column : 5 + (- 3) + (- 3) = - 1 Left column : 8 + (- 6) + (- 2) = 0
Right column : (- 4) + 10 + (- 7) = - 1 Right column : (- 5) + (- 4) + 9 = 0

In each grid, the numbers in the top and bottom rows, as well as the left and right columns, - 10
add up to the same number. We will refer to this sum as the ‘border sum’.
The border sum of the grid I is - 1 and of the grid II is 0. 5
Now complete it selfly to make the required border sum is equal to 4. 9

ASSESSMENT TIME

COMPETENCY BASED QUESTIONS C. Write ‘T’ for true and ‘F’ for false statements
A. Multiple-Choice Questions 1. Additive inverse of an integer is always a
1. The smallest positive integer is: negative number.
(i) 0 (ii) 1 2. The sum of a positive integer and a negative

(iii) 2 (iv) none of these integer is always a positive integer.
2. The integer 4 more than – 4 is:
(i) 0 (ii) 9 3. – 2001 is the successor of – 2000.
(iii) – 1 (iv) none of these 4. Zero is the smallest integer.

3. Absolute value of – 29 is: 5. The opposite of – 5 is 5.
(i) – 27 (ii) 28 (iii) – 26 (iv) 29
4. The predecessor of –999 is: 6. | – 12 | = 12.

(i) –998 (ii) 1000 7. Every negative integer is less than 1.
(iii) –1000 (iv) none of these
5. The additive inverse of – 8 is: 8. 5 is an integer.

(i) –14 (ii) 8 (iii) – 7 (iv) 14 9. 0 is a positive integer.

B. Fill in the Blanks
D. Case Study Based Questions
1. Zero is greater than every __________ integer.
2. The sum of two negative integers is always a The Government of India has launched a scheme
________________ integer. to get benefited from the scheme the municipal
3. The successor of an integer ‘a’ is __________ . cooperation of two cities recorded and submitted
the data.
4. Zero is greater than every __________ integer.
5. The absolute value of zero is _____________. City Name Male Female Children Total

6. There are ________ integers between 4 and –2. City - A 45,983 ? 38,472 1,28,223
7. All natural numbers are __________ integers. City - B 56,767 55,768 50,218 ?