write any 10 statements about integers chapter
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Answer:
• The collection of numbers which contains whole numbers and negative numbers is called integers.
• Integers are closed under addition and subtraction.
• If a, b and c are integers then a + b = b + a, but a - b ≠ b - a.
• Zero when added to any integer or subtracted from any integer gives same number as the result.
• If a, b and c are integers then ( a + b ) + c = a + ( b + c ), but a - ( b - c ) ≠ ( a - b ) - c.
• The sign of the product of two integers with different signs is always negative.
• The sign of the product of two integers with same signs is always positive.
• If a and b are integers and a ÷ b = c, where b = 0, then -a ÷ b = -c, a ÷ -b = -c and -a ÷ -b = c.
• Integers are closed under multiplication, but not closed under division.
• Commutative property holds good for multiplication of integers but it does not hold good for division of integers.
• If a, b and c are integers, then a × ( b × c ) = ( a × b ) × c, but a ÷ ( b ÷ c ) ≠ ( a ÷ b ) ÷ c.
• If a, b and c are integers then a × ( b + c ) = ( a × b ) + ( a × c ) and a × ( b - c ) = ( a × b ) - ( a × c ).
• If you multiply or divide any integer by 1, the result will be the integer itself.
• We have to follow BODMAS rule for simplifying numerical expressions having two or more operation and brackets.