35 Lecture - Multiplication and Division of Integers

  1. Home
  2. Courses
  3. Advance Computer Architecture
  4. 35 Lecture

35 Lecture

CS501

Midterm & Final Term Short Notes

Multiplication and Division of Integers

Multiplication and division of integers are arithmetic operations that involve the combination or separation of whole numbers. Multiplication involves adding a number to itself multiple times, while division involves splitting a number into equa


Important Mcq's
Midterm & Finalterm Prepration
Past papers included

Download PDF

  1. What is the result of multiplying -4 and 6? a) -24 b) 24 c) -10 d) 10 Answer: a) -24 What is the result of dividing 24 by -3? a) -8 b) 8 c) -6 d) 6 Answer: a) -8 What is the product of -5 and -8? a) -40 b) 40 c) -13 d) 13 Answer: b) 40 What is the quotient of 15 divided by -5? a) -3 b) 3 c) -2 d) 2 Answer: a) -3 What is the product of -7 and 0? a) 7 b) 0 c) -7 d) Undefined Answer: b) 0 What is the quotient of 0 divided by 6? a) 0 b) 1 c) Undefined d) Infinity Answer: a) 0 What is the result of multiplying -3 and -4 and then dividing the result by -6? a) 2 b) -2 c) 4 d) -4 Answer: a) 2 What is the quotient of 25 divided by 4, rounded to the nearest whole number? a) 6 b) 7 c) 5 d) 8 Answer: b) 7 What is the product of -2 and the sum of 3 and 5? a) -16 b) -6 c) -8 d) 16 Answer: c) -8 What is the quotient of -12 divided by -4? a) -3 b) 3 c) -4 d) 4 Answer: b) 3



Subjective Short Notes
Midterm & Finalterm Prepration
Past papers included

Download PDF

  1. What is the result of multiplying two negative integers? Answer: The product of two negative integers is a positive integer. How do you perform long division with integers? Answer: Long division with integers is performed similarly to long division with whole numbers. Divide the dividend by the divisor and write the quotient above the dividend. Multiply the quotient by the divisor and write the result under the dividend. Subtract the result from the dividend to get the remainder. Repeat these steps until the remainder is less than the divisor. What is the result of multiplying an even integer and an odd integer? Answer: The product of an even integer and an odd integer is an even integer. How do you divide an integer by a fraction? Answer: To divide an integer by a fraction, multiply the integer by the reciprocal of the fraction. What is the result of multiplying a positive integer and a negative integer? Answer: The product of a positive integer and a negative integer is a negative integer. How do you perform multiplication of integers with different signs? Answer: To perform multiplication of integers with different signs, multiply the absolute values of the integers and assign the product a negative sign if one of the integers is negative. What is the result of dividing a positive integer by a negative integer? Answer: The result of dividing a positive integer by a negative integer is a negative integer. How do you perform long multiplication with integers? Answer: Long multiplication with integers is performed similarly to long multiplication with whole numbers. Multiply the digits in each column and carry over any remainders to the next column. What is the result of dividing a negative integer by a negative integer? Answer: The result of dividing a negative integer by a negative integer is a positive integer. How do you perform division of integers with different signs? Answer: To perform division of integers with different signs, divide the absolute values of the integers and assign the result a negative sign if one of the integers is negative.

Multiplication and division of integers are fundamental operations in mathematics. An integer is a whole number that can be positive, negative, or zero. The rules for multiplication and division of integers depend on the signs of the numbers involved. Multiplying two integers with the same sign will always result in a positive integer. For example, 3 x 4 = 12 and -5 x -6 = 30. On the other hand, multiplying two integers with different signs will always result in a negative integer. For example, -3 x 4 = -12 and 5 x -6 = -30. When dividing integers, the rules for signs are slightly different. When both the divisor and dividend have the same sign, the quotient is positive. For example, 8 ÷ 4 = 2 and -12 ÷ -3 = 4. However, when the divisor and dividend have different signs, the quotient is negative. For example, -8 ÷ 4 = -2 and 12 ÷ -3 = -4. Long multiplication and long division are techniques used to multiply and divide integers with multiple digits. These techniques involve breaking down the numbers into their individual digits and performing the operation one digit at a time. It is important to note that division by zero is undefined, as there is no number that can be multiplied by zero to give a non-zero result. Multiplying any number by zero will always result in zero. In summary, understanding the rules for multiplication and division of integers is important for solving mathematical problems involving these operations. Whether using mental arithmetic or long multiplication and division, it is important to pay attention to the signs of the numbers involved and apply the appropriate rules accordingly.

Course Lectures