SaiBook.us Decimals

Example

Title: Equivalent Decimals

Grade: 5-a Lesson: S1-L1

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

Examples:

Are 12.25 and 12.250 equivalent decimals.

Step 1a

Firstly, convert the first decimal number into a fraction 12.25 = \$1225/100\$

Convert the second decimal number into a fraction 12.250 = \$(1225\cancel0)/(100\cancel0)\$ = \$1225/100\$

$1a$

Explanation: In this step,simply convert given decimals into a fraction.

12.25 to \$1225/100\$ and 12.250 to \$12250/1000\$ = \$1225/100\$

Step 1b

Therefore,12.25 & 12.250 are the equivalent decimals representing the same fraction.

$1b$

Explanation: The decimals 12.25 and 12.250 are equivalent and represent the same fraction.

Are 12.025 and 12.25 equivalent decimals?

Step 2a

Firstly, convert the first decimal number into a fraction 12.025 = \$12025/1000\$

Convert the second decimal number into a fraction 12.25 = \$1225/100\$

$2a$

Explanation: In this step, simply convert given decimals into a fraction.

12.025 to \$12025/1000\$ and 12.25 to \$1225/100\$

Step 2b

Therefore,12.025 & 12.25 are not equivalent decimals as they do not represent the same fraction.

$2b$

Explanation: 12.025 and 12.25 do not represent the same fraction.