Division with Decimal

Division of Decimals_G6

by Venus Daydayan

Division of Decimals by Whole Numbers

​1. Perform the division by considering the dividend as a whole number.

​

​2. When the division of the whole number part of the dividend is complete, write the decimal point in the quotient then proceed with the division as in the case of a whole numbers.

Multiple Choice

2.52 $$\div$$  3

• 0.81

• 0.88

• 0.84

• 1.84

Multiple Choice

79.8 $$\div$$  14

• 5.5

• 5.7

• 6.7

• 6.3

Multiple Choice

124.2 ÷ 9

• 1.38
• 13.08
• 12.8
• 13.8

Multiple Choice

118.5 ÷ 5

• 237
• 23.7
• 2.37
• 24

Poll

How do you feel about dividing decimals with whole numbers?

• Great!

• Excellent

• I feel a bit sad coz I don't know

• Ugh!

Multiplying

​When we multiply by 10, 100 and 1000, we move the place value to the left.

​

​

21 x 10 = 210

​21 x 100 = 2,100

​21 x 1000 = 21,000

​Recall

​Dividing

​When we divide by 10, 100 and 1000, we move the place value to the right.

​

​

Multiple Choice

62.5 ÷ 10 = 6.25

• True

• False

Multiple Choice

62.5 ÷ 100 = 0.625

• True

• False

Multiple Choice

364 ÷ 10

• 364

• 36.4

• 3.64

• 0.364

Multiple Choice

1237 ÷ 1 000

• 1.237

• 12370

• 123.7

• 12.37

Multiple Choice

When you divide by 10, values are 10 x bigger so you move to the left?

• True

• False

Based on the activity you did a while ago, how do you divide decimals by 10, 100, and 1000?

​a. When a decimal is divided by 10, move the decimal point one place to the left.

​

​b. When a decimal is divided by 100, move the decimal point two places to the left.

​

​c. When a decimal is divided by 1000, move the decimal point three places to the left.

Poll

How do you feel about dividing decimals by 10, 100, and 1000?

• Great!

• Excellent

• I feel a bit sad coz I don't know

• Ugh!

Day 2

Dividing Decimals by Decimals

Step by step

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First, write this division sentence with a frame, like the picture shows.

Fill in the Blanks

Step 1: Move the decimal point in the divisor to make a whole number.

How many places do you need to move the decimal point in 1.2 to make it a whole number?

Multiple Choice

Step 2: Move the decimal point in the dividend the same number of places.

After you have moved the decimal points, what should your division problem be now?

• $$9.96\ \div\ 1.2$$

• $$99.6\ \div\ 12$$

• $$9.96\ \div\ 12$$

• $$99.6\ \div\ 1.2$$

Step 3: Move the decimal point straight up and place it in the quotient.

Multiple Choice

Step 4: Divide. Since we cannot divide 9 by 12, we'll have to divide 99 by 12.

How many times does 12 go into 99? Or, 12 x ? will get us close to 99?

• 6

• 7

• 8

• 9

Multiple Choice

Steps 5, 6 and 7: Multiply, subtract, then bring down the 6.

How many times does 12 go into 36, or 12 x ? equals 36?

• 3

• 4

• 5

• 1

Multiple Choice

Steps 8 and 9: Multiply and subtract, then you're done!

What is the final answer?

• 8.3

• 0.83

• 83

• .083

Fill in the Blanks

Now, try this problem on your own:

$1.47\ \div\ 2.1$   What is your answer?

Multiple Choice

$$0.75\ \div2.5$$  

• 3

• 0.3

• 0.03

• 0.003

Dividing by 0.1 , 0.01​ and 0.001

​Remember the KEEP, CHANGE and FLIP

​Decimals 0.1 and 0.01

​EXAMPLE 2

​EXAMPLE 1

​EXAMPLE

Fill in the Blanks

Work out 125 $\div$   0.01

Fill in the Blanks

Work out

$7.225\div0.1$  

​EXAMPLE

Which of 0.1 or 0.01 goes into the blank?

​26 x __ = 0.26

​

​

​Answer

Which of 0.1 or 0.01 goes into the blank?

​26 x 0.01 = 0.26

​

​

​EXAMPLE 4

​EXAMPLE 5

Multiple Choice

TRUE OR FALSE

$$450\div0.1=45$$  

• TRUE

• FALSE

Patience, critical thinking and Perseverance ​

is your key to solve correctly the division of decimals​