Unit 4 Division of Whole Numbers Basic Principles

Unit 4 Division of Whole Numbers

Basic Principles of Division of Whole Numbers • Division is a simplified method of subtracting a smaller number from a larger number many times. – The number to be divided is called the dividend. – The number indicating the number of times the dividend is to be divided is called the divisor. – The answer is called a quotient. – If the divisor cannot be divided into the dividend evenly, the number left over is called a remainder.

Basic Principles of Division of Whole Numbers • To begin the process of division, the dividend is placed inside the division bracket, the divisor is placed to the left of the dividend, and the quotient is placed above the dividend.

Basic Principles of Division of Whole Numbers • To check your answer, multiply the quotient by the divisor. – If a remainder is present, add the remainder to the product. – The final product should equal the dividend if your answer is correct.

Basic Principles of Division of Whole Numbers • Example: Find the quotient of 3614 ÷ 26 26 goes into 36 once, so write a 1 above the 6 in the dividend. 10 remains; bring down the 1 in the dividend:

Division of Whole Numbers • The number 26 goes into 101 three times. Write a 3 above the 1 in the dividend. • 23 remains; bring down the four from the dividend: • Finally, 26 goes into 234 nine times. 3614 ÷ 26 = 139

Division of Whole Numbers • Check your answer by multiplying the quotient by the divisor: 26 x 139= 3, 614 – Because the final answer is the same as the dividend, the answer is correct. • If the answer had a remainder, this would be added to the product.

Practical Problem • A medical laboratory technician (MLT) has a flask containing 225 milliliters (m. L) of a diluting solution. She must transfer the solution to 5 -m. L graduated pipettes. • How many pipettes will she fill with the solution?

Practical Problem • Divide 225 by 5: • She can fill 45 pipettes with the solution.