Maths 1 Mark Question

7 + x = 0
⇒ 7 + x - 7 = 0 - 7
x = -7

(-1) + (-304) + 304 + 304 + (-304) + 1
= -1 + 1 - 304 + 304 - 304 + 304
= 0

Predecessor of -125 is = -125 - 1
= -126

Absolute value of (a - 7) is (a - 7) if a is greater than 7, that is, a - 7 > 0.

28 - (-10) < (-16) - (-76)
30 < 60

In order to subtract -12 from 8, 8 – (–12) = 8 + 12 = 20.

The largest negative integer is -1.Solution:
The numbers .... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ..... form the set of integers.
Thus, the largest negative integer is − 1.

Successor of 0 is = 0 + 1
= 1

True.Solution:
For example: -(-2) = 2

Additive inverse of 52 is -52.

We want an integer five less than 3. So, on the number line, we will start from 3 and move 5 units to the left to obtain -2, as shown on the number line.

-25

8, 7, 6, 0, 2, -5, -9, -15

True.Solution:
a > b

-|-5| is -5 and its absolute value is 5.

Integers between -7 and 3 are -6, -5, -4, -3, -2, -1, 0, 1, 2.

(-20) - (-20) > 20 - (65)
0 > -45

3km above sea level = +3

Absolute value of 14 is 14.

Additive inverse of 1 is -1.

False.Solution:
It should be -13 < -8 + 2 = -6

Predecessor of 1 is = 1 - 1
= 0

0 > -7

Predecessor of 0 is = 0 - 1
= -1

x + (-8) = 0
⇒ x - 8 = 0
⇒ x - 8 + 8 = 0 + 8 [adding 8 on both sides]
x = 8

We know that on the number line -27 is to left of -15.
So -27 < -15
-27 is smaller.

Absolute value of (a + 4) is (a + 4) if a is greater than -4, that is, a > -4 ⇒ a + 4 > 0.

Here, -1 is multiplied 5 times and since, 5 is an odd integer, therefore
(-1)(-1)(-1)(-1)(-1) = -1

25° above zero is = +25°

We know that on the number line -18 is to left of 12.
So 12 > -18
12 is larger.

(-12) - (-12) > (-12) + (-12)
0 > -24

We know that on the number line 3 is to right of -4.
So 3 > -4.
3 is larger.

False.Solution:
0 is simply an integer that is neither positive nor negative.

The largest negative integer is 1.Solution:
The collection ..... -4, -3, -2, -1, 0, 1, 2, 3, 4, ..... forms the set of integers.
Thus, the smallest positive integer is 1.

Successor of -99 is = -99 + 1
= -98

-235 > -532

Decrease of population.

Integers between -2 and 2 are -1, 0, 1.

Going South

Absolute value of -248 is 248.

Integers whose absolute values less than 5 are:
-4, -3, -2, -1, 0, 1, 2, 3, 4.

x + 0 = 0
x = 0

Value of (a + 4) is -(a + 4) if a is less than -4, that is, a < -4 ⇒ a + 4 < 0.

Integers are as shown in the number line.

A profit of 800 = +800

(-6) + (-9) < (-6) - (-9)
-15 < 3

-8 < 15

Integers between 0 and 3 are 1, 2.

True.Solution:
-4 - 2 = -6 < 2

1 - 475 - 475 - 475 + 1900 = 1 - 950 - 950 + 1900
= 1900 + 1 - 1900
= 1

True.Solution:
It is the definition of additive inverse; for example, 5 + (−5) = 0.

3126 - (-812) = 3126 + 812 = 3938.

-135 – (-225) = 225 - 135 = 90

-20 < 20

Absolute value of 0 is 0.

x +1 = 0
⇒ x + 1 - 1 = 0 - 1 [subtract -1 on both sides]
⇒ x = -1

|4 - 2| = 2 = |4| - |2| = 2; True

124, -74, -89, -154, -205

2 < 5

-27 - (-23) = -27 + 12
= 23 - 27
= -4

x + 5 = 0
⇒ x + 5 - 5 = 0 - 5 [subtract -5 on both sides]
⇒ x + 0 = -5
x = -5

Absolute value of -125 is 125.

-17 - 18 - (-35) = -35 + 35
= 0

Successor of -1 is = -1 + 1
= 0

-3 + x = 0
⇒ 3 - 3 + x = 0 + 3 [adding 3 on both sides]
x = 3

0 < 3

-8 - 7560 = -7568

Additive inverse of -176 is 176.

True.Solution:
0 is neither positive nor negative.

We want an integer four more than −9. So, on the number line, we will start from −9 and move 4 units to the right to obtain −5, as shown on the number line.

-12, -9 , -8, 0, 1, 5, 15.

-9, -8, -7 and -6 are the four negative integers less than -10.

15

If a - 2 is less than 7, that is, a - 2 < 7 ⇒ a < 9 or a - 7 < 2
So absolute value of a - 7 = a - 7 if 7 < a < 9 that is a - 2 is less than 7 but a - 2 is greater than 5.
and absolute value will be -(a - 7) if a < 7 if a - 7 is less than 5.

5° below zero is = -5°

Required integer = -223 - 172
= -395

since '0' is greater than all negative integers.
Therefore, -4 < 0
-4 is smaller.

Every positive integer is greater than every negative integer.Therefore, -3 < 12
-3 is smaller.

We know that on the number line 8 is to left of 13.
So 8 < 13
8 is smaller.

|12 - 5 | = | 7| and its absolute value is 7.

Losing weight of 4kg

Spending money

Absolute value of -3 is 3.

-4109 - (-3978) = -4109 + 3978 = -131

Withdrawing money from a bank.

A deposit of Rs. 2500 = +2500

Additive inverse of 0 is 0.

Integers between -4 and 0 are -3, -2, -1.

Predecessor of -1 is = -1 - 1
= -2

Absolute value of -25 is 25.

2km below sea level = -2

We want an integer two more than 3. So, on the number line, we will start from 3 and move 2 units to the right to obtain 5, as shown on the number line.

Successor of -42 is = -42 + 1
= -41

-11, -10, -9, -8, -7 and -6 are the six negative integers just greater than -12.

Using the rule for sub traction, we have -5 - 12 = –17.

A gain of Rs. 1000

Predecessor of 1000 is = 1000 - 1
= 999

-320, -106, -7, 107, 186

-1005 - 0 = -1005

We know that on the number line -12 is to left of -8.
So -12 < -8
-8 is larger.

101 - 1001 = -900

Successor of -200 is = -200 + 1
= -199

Since '0' is less than all positive integers.
Therefore, 7 > 0
7 is larger.

-17 - 18 - (-35) = -35 + 35
= 0