Pre K-12th Grade Worksheet
Topic: CCSS 5.NBT.B.7 - Add, subtract, multiply, and divide decimals to hundredths…
Instructions: Demonstrate how to divide decimals.
Knowledge of long division is assumed
Demonstration
• What is 2.1 ÷ 0.6?
o Setup the division as with numbers:
____
0.6 ) 2.1
o Move the divisor’s decimal point until it is a whole number:
____
0.6 ) 2.1
o Move the dividend’s decimal point the same number of places:
____
0.6 ) 2.1
o Divide the whole numbers as normal
_3__
6 ) 21.0
18
3
o Line up the quotient’s decimal point with the dividend’s decimal point (add trailing zeros if needed):
_3._
6 ) 21.0
18
3
o Continue dividing as in long division
_3.5
6 ) 21.0
18_
30
30
0
Dividing Decimals
1
1
1
Pre K-12th Grade Worksheet
o Write the final answer:
2.1 ÷ 0.6 = 3.5
Summary of the Steps
o Setup the division as with numbers
o Move the divisor’s decimal point until it is a whole number
o Move the dividend’s decimal point the same number of places
o Divide the whole numbers as normal
o Line up the dividend’s decimal point with the quotient (add trailing zeros if needed)
o Continue dividing as in long division
o Write the final answer
Your Turn
• What is 2.75 ÷ 0.25?
The Solution
• What is 2.75 ÷ 0.25?
_____
0.25 ) 2.75
__11_
25 ) 275.0
25
25
25
0
The final answer: 2.75 ÷ 0.25 = 11
What if the number of places behind the decimal point are not the same?
• Example: What is 16.2 ÷ 0.45?
o Move the divisor’s decimal point until it is a whole number
o Add trailing zeros to dividend if needed
______
0.45 ) 16.20
1 2
1 2
1 2
1 2
Pre K-12th Grade Worksheet
o Divide as normal long division
___36
45 ) 1620
135
270
270
0
o Write the final answer:
16.2 ÷ 0.45 = 36
• Another Example: What is 12.25 ÷ 0.5?
o Move the divisor’s decimal point until it is a whole number
______
0.5 ) 12.25
o Divide as normal long division
o Remember to line up the quotient’s decimal point with the dividend’s decimal point
__24.5
5 ) 122.5
10
22
20
25
25
0
o Write the final answer:
12.25 ÷ 0.5 = 24.5
1
1
Pre K-12th Grade Worksheet
What if the quotient keeps repeating?
• Example: What is 13.7 ÷ 0.3?
o Setup the division as with numbers:
_____
0.3 ) 13.7
o Move the decimal points until the divisor is a whole number:
_____
3 ) 137
o Divide as normal:
__45.66_ When a decimal repeats, the repeating portion is written with a bar over it
3 ) 137.00
12
17
15
20
18
20
18
2
o Write the final answer:
_
13.7 ÷ 0.3 = 45.6
