NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System

True or False Questions

\(5 - (-8)\) is same as \(5 + 8\).

\((-9)+(-11)\) is greater than \((-9)-(-11)\).

Sum of two negative integers always gives a number smaller than both the integers.

Difference of two negative integers cannot be a positive integer.

We can write a pair of integers whose sum is not an integer.

Integers are closed under subtraction.

\((-23)+47\) is same as \(47+(-23)\).

When we change the order of integers, their sum remains the same.

When we change the order of integers their difference remains the same.

Going 500 m towards east first and then 200 m back is same as going 200 m towards west first and then going 500 m back.

\((-5)\times(33)=5\times(-33)\).

\((-19)\times(-11)=19\times11\).

\((-20)\times(5-3)=(-20)\times(-2)\).

\(4\times(-5)=(-10)\times(-2)\).

\((-1)\times(-2)\times(-3)=1\times2\times3\).

\(-3\times3=-12-(-3)\).

Product of two negative integers is a negative integer.

Product of three negative integers is a negative integer.

Product of a negative integer and a positive integer is a positive integer.

When we multiply two integers their product is always greater than both the integers.

Integers are closed under multiplication.

\((-237)\times0\) is same as \(0\times(-39)\).

Multiplication is not commutative for integers.

\((-1)\) is not a multiplicative identity of integers.

\(99\times101\) can be written as \((100-1)\times(100+1)\).

If \(a, b, c\) are integers and \(b\ne0\) then, \(a\times(b-c)=a\times b-a\times c\).

\((a+b)\times c=a\times c+b\times c\).

\(a\times b=b\times a\).

\(a\div b=b\div a\).

\(a-b=b-a\).

\(a\div(-b)=-\,(a\div b)\).

\(a\div(-1)=-a\).

Multiplication fact \((-8)\times(-10)=80\) is same as division fact \(80\div(-8)=(-10)\).

Integers are closed under division.

\([(-32)\div 8]\div 2=-32\div[8\div2]\).

The sum of an integer and its additive inverse is zero (0).

The successor of \(0\times(-25)\) is \(1\times(-25)\).