3 . Divide the following. b . - 85 ÷ 5 ÷ 289 ÷ - 17

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of - 85 ÷ 5 and 289 ÷ - 17 is a positive integer. ∴ - 85 ÷ 5 ÷ 289 ÷ - 17 = - 17 ÷ - 17 = 1

3 . Divide the following. b . - 85 ÷ 5 ÷ 289 ÷ - 17

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of - 85 ÷ 5 and 289 ÷ - 17 is a positive integer. ∴ - 85 ÷ 5 ÷ 289 ÷ - 17 = - 17 ÷ - 17 = 1

3 . Divide the following c . 144 ÷ - 9 × - 2

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of 144 and - 9 × - 2 is a positive integer. ∴ 144 ÷ - 9 × - 2 = 144 - 9 × - 2 = - 16 × - 2 = 32

3 . Divide the following. d . 256 ÷ - 32 ÷ - 4

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of 256 and - 32 ÷ - 4 is a positive integer. ∴ 256 ÷ - 32 ÷ - 4 = 256 ÷ 8 = 32

3 . Divide the following. e . - 64 ÷ - 8 ÷ - 4

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of - 64 and - 8 ÷ - 4 is a negative integer. ∴ - 64 ÷ - 8 ÷ - 4 = - 64 ÷ 32 = - 2

3 . Divide the following. f . - 216 ÷ - 36 ÷ 6

Division is the reverse of multiplication. The various rules to be applied while dividing two integers is as follows: Rule 1 : The quotient of two positive integers is a positive integer. Rule 2 : The quotient of a positive integer and a negative integer is a negative integer. Rule 3 : The quotient of two negative integers is a positive integer. According to question, Division of - 216 ÷ - 36 and 6 is a positive integer. ∴ - 216 ÷ - 36 ÷ 6 = 6 ÷ 6 = 1

5 . Simplify the following: a . - 1 + 4 - - 7 × - 2

For simplification of numerical expressions, we follow the rule of BODMAS. This rule tells the order that we shall follow while simplifying. The order is given below: B - Brackets O - of D - Divide M - Multiply A - Add S - Subtract The given question is : - 1 + 4 - - 7 × - 2 = - 1 + 4 - 14 = - 1 - 10 = - 11

Simplify the following: b . - 9 × 6 + - 7 - 21 ÷ - 7

For simplification of numerical expressions, we follow the rule of BODMAS. This rule tells the order that we shall follow while simplifying. The order is given below: B - Brackets O - of D - Divide M - Multiply A - Add S - Subtract The given question is : - 9 × 6 + - 7 - 21 ÷ - 7 = - 9 × 6 + - 7 + 3 = - 54 + - 4 = - 58