Important Questions: Integers - Class 7 MCQ

The set of negative numbers and whole numbers is called integers. 

Z={,....−2,−1,,0,1,2,.....}

1 is the smallest positive integer.

All the other positive numbers to its right are greater than, the negative numbers are located on the left side of 0. 

Withdrawal of Rs. 200 means amount 200 is subtracted from our account. Option B is correct.

Because -32 is on the left of -28 on the number line, so it is smaller.
Note : The Smaller the negative number Bigger it is

Positive number are located above 0 and negative numbers are located below 0 on a vertical number line 

Since west is on the left side, and there are negative integers on the left, so it's -30 kms.

(−1)×(−1)×(−1)........odd times 
(-ve number)ⁿ = +ve if n=even
(-ve number)ⁿ = -ve if n=odd
= (−1)  which is negative.

take any neagative no and if you multiply it even number of times -ve sign will be even number of times
(−a)×(−a)×(−a)....even times =(-a)ⁿ , where n is even so
so (-a)ⁿ which is positive.
for example
-2x-2x-x2x-2 =16 which is +ve

If dividend and divisor have positive signs then the quotient will be positive. If dividend and divisor have negative signs , then the quotient will be positive because 2 negative signs becomes positive.

If the dividend and divisor have unlike signs then the quotient will be Negative.

Division of Integers is similar to the division of whole numbers (both positive) except the sign of the quotient needs to be determined.

If both the dividend and divisor are positive, the quotient will be positive.
(+16) ÷ (+4) = +4

If both the dividend and divisor are negative, the quotient will be positive.
(-16) ÷ (-4) = +4

If only one of the dividend or divisor is negative, the quotient will be negative.
(+16) ÷ (-4) = -4     or   (-16) ÷ (+4) = -4

In other words, if the signs are the same the quotient will be positive, if they are different, the quotient will be negative
Hence Option B

(132) / (-12) = -11

(-144) / (+16) = -9

(-32) / (-4) = 8

(196) / (4) = 49

So option C is correct

The closure property states that when you perform an operation on any two numbers in a set, the result of the computation is another number in the same set .Since division can result in changing an integer in decimals. So its closed in addition, subtraction and multplication.

0 is identity element with respect to addition of integers, e.g.,(−5)+0 = +0+(−5) = (−5)

• The multiplicative identity is a number that, when multiplied by any other number, leaves that number unchanged.
• In the set of integers, the multiplicative identity is 1.
• For example, multiplying any integer by 1 results in the same integer: 5 x 1 = 5.
• The other options (-1, 0, and -10) do not satisfy this property.

Use BODMAS rule & simplify:
= 124×4  −3 + 118/2
= 496 − 3 + 59
= 496 +56
= 552

(),{},[] is the correct order of evaluation of brackets. The order of brackets used when evaluating an expression is [ { ( ) } ], which means that the innermost brackets (round brackets) are evaluated first, followed by the curly brackets, and finally the square brackets.

If a negative sign precedes a bracket, the signs of the terms inside the bracket are changed.