SaiBook.us Decimals

Lesson Example Discussion Quiz: Class Homework

Example

Title: Decimal Addition

Grade: 5-a Lesson: S1-L3

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

Examples:

Calculate the decimals 528.69 + 437

Step 1a

We can see that 528.69 is a decimal number and 437 is a whole number. So, let us make both the numbers of equal length.

$1a$

Explanation: In this step, we need to make both 528.69 and 437 the same length by adding a decimal and a zero to 437, making it 437.00.

Step 1b

Adding the decimals, start from the rightmost column and move left, combining the hundredth and tenth decimal values in the rightmost column.

Add the hundredth-place digits (9 + 0 = 9) and the tenth-place digits (6 + 0 = 6).

Write the value 9 in the hundredth column and the value 6 in the tenth column.

$1b$

Explanation: In this step, to add the numbers, start from the rightmost column and move towards the left.
Combine the hundredth and the tenth decimal values in the rightmost column.
Add the hundredth-place digits (9+0=9) and the tenth-place digits (6+0=6).
Write the value 9 in the hundredth column and the value 6 in the tenth column.

Step 1c

Move to the next column by one’s place in the whole number add the digits 8 + 7 =15, and write 5 in one’s column. And carryover the 1 in the next column.

$1c$

Explanation: In this step, add the next column in one’s place digits of the whole number which is 8 + 7 = 15. Place the 5 in the one’s column and carry over the 1 in the next column.

Step 1d

Move to the next column by ten’s place in the whole number and add the digits 2 + 3 =5.

Add the carryover number 1 with 5, which is 5 + 1 = 6. Write 6 in ten’s column.

$1d$

Explanation: In this step, add the next column in ten’s place digits of the whole number which is 2 + 3= 5, and add the carry-over number 1 with 5, while adding 5 and 1 we get 6.Place the 6 in ten’s column.

Step 1e

Move to the next column by hundred’s place in the whole number and add the digits 5 + 4 =9.

write 9 in the hundred’s column.

$1e$

Explanation: In this step, add the next column in the hundred’s place digits of the whole number which is 5 + 4= 9. and place the value in the hundred’s column

Step 1f

Therefore, the sum of 528.69 and 437 is 965.69

$1f$

Explanation: Hence, the sum of 528.69 + 437 = 965.69