Title: Decimals divisions
Course: 2024 Math 6° (Reference)

Complete the lesson, watch the video, and answer the questions.

Division equations

Copy this information on your notebook!!

]

Dividing decimals

Watch the video:

Example of Divisions

To divide means to split up into equal parts. Dividing a decimal number means splitting up the decimal value into sections.

Here is a division problem.
4.64÷2=

In this problem, 4.64 is the dividend. The dividend is the number being divided.

The divisor is the number of parts the dividend is being divided into.

The divisor is 2. Remember that the divisor goes outside of the division box in long division.

Dividing a decimal is similar to whole number division. First, divide the 2 into each number. Ignore the decimal for now.

Then, insert the decimal point into the quotient.

Bring the decimal point from its place in the division box directly up into the quotient.

The quotient of 4.64 divided by 2 is 2.32

Example 2 Division

First, ignore the decimal and divide as if this were two whole numbers.

Then, add decimal point into the quotient. Bring the decimal point from its place in the division box up into the quotient.

The quotient of 2.46 divided by 3 is 0.82

Exercises 1 division

Find the quotient.

66.3÷3

- 22.1
Feedback: Very Good!
- 2.21
Feedback: Verified the position of the decimal!!! Try Again!!
- 221
Feedback: Verified the position of the decimal!!! Try Again!

Exercise 2 division

Find the quotient for the following problem

\( 9.148 \div 3 \)

- 3.0493
Feedback: Very good!!!
- 3
Feedback: What about the decimals?? Try again!!!
- 3.49
Feedback: Try again!

Divisions and multiplications

Exercise - Multiplication 1

Multiply:

5.7× 1.4

- 7.98
Feedback: Very good!!
- 798
Feedback: Try Again!! How many decimals??
- 79.8
Feedback: Try Again!! How many decimals??

let's remember ROUNDING!!!

Watch the video and take some notes.

Example of rounding

Look at your place value chart on your notebook, the decimal numbers.
Rounding is when you use decimals up to a specific position, and you estimate the value of the digit you will drop.
Rules you have to remember:

1. Find the place you want to round up and go NEXT door!
2. If the number next door is equal or greater than 5, you add one digit to the place you want to round.
3. If the number next door is less than 5 you only drop the next door number (You truncate!!!)

Example 1:
12.567  Round to the hundredths place ....
12.567   --- The hundredths place is the 6....

The next door number is = 7  ---- equal or greater than 5??   YES!!!!!

So you add one digit to the place you want to round, in this case, add +1 to 6.

Answer:    12.567  Round to the hundredths place  is equal to 12.57

Example 2:
7.142  Round to the hundredths place ....
7.142  --- The hundredths place is the 4....

The next door number is = 2  ---- equal or greater than 5??   NO!!!!

                                                               is less than 5 ??  .... YES!!!!

So you TRUNCATE / drop the next door number 2.

7.142

Answer:    7.142 rounded to the hundredth place is 7.14

Rounding exercise

Round to the nearest Hundredths

3.2567

- 3.26
Feedback: Very Good!!!
- 3.25
Feedback: Try Again... if equal or greater than 5 add 1 to the drop number!!!
- 3.2
Feedback: Try Again!!!! Hundredths place!!!

Rounding exercise

Round the number to the nearest Tenths

135.84153

- 135.8
Feedback: Very good!!
- 135.84
Feedback: Try Again!! -- Tenths place!!!!!
- 135.85
Feedback: Try again!!! Is the number next door equal or greater to 5? (add +1) or is it less the 5?? (Truncate)

Summary

You reach the end of the lesson.