SaiBook.us Decimals

Lesson Example Discussion Quiz: Class Homework

Example

Title: Decimal Divisions

Grade: 5-a Lesson: S3-L8

Explanation: The best way to understand decimals is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Find the division of decimal 95.76 ÷ 19.

Step 1a

First, multiply the dividend and divisor with 100 then we get 9576 ÷ 1900.

$1a$

Explanation: In this step, first, convert the decimal number into a whole number, so multiply the dividend and divisor by 100, and then we get 9576 ÷ 1900.

Step 1b

Divide the first digit of the dividend (9) by the divisor (1900). Since 9 is less than 1900, we need to consider the next digits as well. Here, 9576 ÷ 1900 then we get a quotient of 5 with a remainder of 76.

$1b$

Explanation: In this step, to divide 9576 by 1900, we divide the first digit of the dividend- 9, by 1900. Since 9 is less than 1900, we consider the next digits as well. We get a quotient of 5 and a remainder of 76.

Step 1c

The new dividend value is 76. If the dividend is less than the divisor, place two zeroes and divide. Divide 7600 by 1900. The quotient is 4 with no remainder.

$1c$

Explanation: In this step, the new dividend value is 76. If it’s less than the divisor, place two zeroes, then divide. Divide 7600 by 1900. The quotient is 4 with no remainder.

Step 1d

Therefore, 95.76 ÷ 19 = 5.04

$1d$

Explanation: Hence, the result of dividing 95.76 by 19 is equal to 5.04.