Question

On a number line, when we subtract a negative integer, we
(a) move to the right
(b) move to the left
(c) do not move at all
(d) none of these
a * (b + c) = a × b + ax cis called
(a) commutative property
(b) associative property
(c) distributive property
(d) closure property
The product of two negative integers is
(a) a positive integer
(b) a negative integer
(c) either a positive integer or a negative integer
(d) none of these
iv) (-1) * (- 1) * (- 1) is equal to
(a) 1
(b) – 1
(c) 1 or -1
(d) none of these
2. Fill in the blanks using < or >
(a)-12
4fill the blanks with using <or
a -12.......4
(b) 6....... -20
(c)-8 .........-2
(d) 5.........-7
3. Solve:
(i) (-15) × 8 + (-15) x 4
(ii) (32 + 2 × 17 + (-6)] - 15
4Write down a pair of integers whose sum is -5.
5.Write down a pair of integers whose difference is -7
​

Answer 1

Answer:

right

[3] positive integers

-1

<

>

<

<

Answer 2

Given : On a number line  subtract a negative integer

To Find : Correct option

(a) move to the right

(b) move to the left

(c) do not move at all

(d) none of these​

Solution:

Numbers with a negative sign are less than zero

Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.  

+ sign numbers can be denoted as simply numbers  

On a number line the number increases as we move to the right and decreases as we move to the left.  

1 : Draw a line and mark some points at equal distance on it as shown in the figure below  Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3  and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on

On adding Positive integers we move  to the right

On adding negative  integers we move  to the left

On adding or subtracting Zero  we  do not move at all

On Subtracting  Positive integers we move  to the left

On Subtracting negative  integers we move  to the Right

Hence correct option is :  option a)

On a number line, when we subtract a negative integer, we move to the right

a * (b + c) = a × b + ax c  is called distributive property

The product of two negative integers is    a positive integer

(-1) * (- 1) * (- 1) is equal to – 1

a -12. <  .4

(b) 6 >  -20

(c)-8  <  -2

(d) 5. >  -7

(i) (-15) × 8 + (-15) x 4  = -120 - 60 = - 180

(ii) (32 + 2 × 17 + (-6)] - 15  =  45

-6 + 1  = 5

-6 - 1  = 7

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