SaiBook.us Decimals

Lesson Example Discussion Quiz: Class Homework

Example

Title: Decimals

Grade: 5-a Lesson: S1-L2

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

Examples:

Convert 0.729 into fraction

Step 1a

Put the question into fraction form such that the decimal is over 1.

$1a$

Explanation: In this step, write the numerator as 0.729 with denominator 1.

Step 1b

Take both the numerator and the denominator and multiply each by 10 for every digit to the right of the decimal point. In this case, we have 3 digits to the right. Therefore, we multiply each by 1000 (10 × 10 × 10).

$1b$

Explanation: Now multiply, \$0.729/1\$ with \$1000/1000\$ we get \$729/1000\$

Convert a fraction \$8 3/4\$ into a decimal

Step 1a

Put the question into fraction form such that the decimal is over 1.

$1a$

Explanation: In this step, write the numerator as 0.729 with denominator 1.

Step 1b

$1b$

Explanation: Now multiply, \$0.729/1\$ with \$1000/1000\$ we get \$729/1000\$

Step 2c

To convert fractions to decimals, you can use the division method.

$2c$

Explanation: In this step, to convert \$35/4\$ to a decimal is by using the division method.

Step 2d

To get a decimal using the division method, simply divide the numerator by the denominator.

$2d$

Explanation: To obtain a decimal using the division method, divide the numerator, which is 35, by the denominator, which is 4. The result of the division is 8.75.