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Lesson 3: Divide decimals by whole numbers

# Dividing a decimal by a whole number with fraction models

The video explores the concept of dividing decimals by whole numbers. It emphasizes visualizing the process, using the idea of converting tenths to hundredths to make division more intuitive.

## Want to join the conversation?

• i needed to explain to my sister that 0.4 s the same as 0.40 and then she was like, "But 40 is bigger than 4!"

That's 30 minutes I will never get back again.
• Have your sister draw a circle, and cut it into 10 pieces, and then shade in 4 slices.
Then have her draw a circle with 100 slices, and shade in 40 slices.
Then ask her which one is bigger or if they are equal in size.
She might then understand then that .4 = 4/10 and .40= 40/100
• Would we be able to do it this way?

0.4= 4/10
5=5/1
and then divide normaly?
• Yes, you can.
(4 / 10) / (5 / 1) = (4 / 10) * (1 / 5) = (4 / 50) = 0.08
• Does anyone else find this a little confusing? Because how do you know that the "8" is supposed to be in the hundreths??
• so 8 times 5 = 40 and in this instance the
the 4 in the forty is in the tens place
the 0 is in the ones place.
The 8 and 5 are in the ones place.
sooooo
0.40 is like 40 all over again.
The 4 is in the tenths place
The zero is in the hundreths place

S0 the 8 and the 5 are in the hundreths place.
(1 vote)
• Doing the Long Division I get a quotient of 12.5...
Can anyone explain?
• Who else dose this for school?
• yes i did
(1 vote)
• Why can’t you do it this way?

0.4*10 = 4
5*10 = 50
4/50 = 1/(50/4)
1/(50/4) = 1/12.5
1/12.5 = 8/100
8/100 = 0.08
• we are brothers
(1 vote)
• If you just change the number to the bigger place value, would you just put the fraction in decimal form?
(1 vote)
• Why is the final answer in that video 0.08? It doesn't make any sense to me...
(1 vote)
• 40÷5 equals 8. Because we are talking about hundredths, it's 0.08
(1 vote)
• This is too easy! Please give us harder math!