Divide by 4.
Stg 5 x/÷
Name: __________________________
Let’s try chopping things up into 4 equal groups. Say you had 12 cherry cupcakes to share out with 4 mates.
If you start by giving everybody one, then another and so on, how many do they get each? Try putting little
ticks in each oval to show the amount of cupcakes that go in each:
Hunter
Olivia
So, what does the maths look like for this?
Lachie
Zoey
12 ÷ 4 = ___
Good going. Let’s try another. Mr M had 4 monkeys, and it was feeding time in Room 5. He’d bought 20
bananas. How did he share them out so they all had the same fair amount?
So, what does the maths look like for this?
20 ÷ 4 = ___
Let’s see if there is a quicker way. What if we took a large number and just
counted the sets of 4 we find. See the 16 marbles in a line below. How many sets of 4 can you make?
16 ÷ 4 = ____
8 ÷ 4 = ____
24 ÷ 4 = ____
Have another go with the ruler trick. Remember to count the spaces, not the marks!
How many sets of 4 do you need to get to 28?
28 ÷ 4 = ____
How about 20?
20 ÷ 4 = ____
Try 16 again, see if it comes out the same:
16 ÷ 4 = ____
Random useless fact! Born on the 4th of August: The Queen Mum, Taylor, Barrack Obama, Paul Henry, Mrs Denne,
Louis Armstrong (Neil Armstrong was born on the 5th though), Mrs Whautere, Louis Vuitton, Mr M, Billy-Bob
Thornton and Daniel Dae-Kim. All famous as.
Dave Moran v2 2016
Stg E6 x/÷
Divide by 4.
Name: _________________________
By now you have learned how to halve just about any number. This is good, because we can use that to
help us divide numbers into 4 equal groups! All we have to do is chop it in half, then chop that in half again.
Simply pimply.
E.g. 44 ÷ 4 = ??
No problem: halve 44, which is 22, then halve again… 11! Ta-dah!
So, now try some for yourself:
1.
24 ÷ 4 = ??
Think: ½ of 24 = ______ then ½ of 12 = ______
2.
16 ÷ 4 = ??
Think: ½ of 16= ______ then ½ of ___ = ______
3.
48 ÷ 4 = ??
Think: ½ of 48 = ______ then ½ of ___ = ______
4.
28 ÷ 4 = ??
Think: ½ of 28 = ______ then ½ of ___ = ______
5.
40 ÷ 4 = ??
Think: ½ of 40 = ______ then ½ of ___ = ______
6.
8 ÷ 4 = ??
Think: ½ of 8 = ______ then ½ of ___ = ______
7.
12 ÷ 4 = ??
Think: ½ of 12 = ______ then ½ of ___ = ______
8.
32 ÷ 4 = ??
Think: ½ of 32 = ______ then ½ of ___ = ______
9.
20 ÷ 4 = ??
Think: ½ of 20 = ______ then ½ of ___ = ______
10. 36 ÷ 4 = ??
Think: ½ of 36 = ______ then ½ of ___ = ______
11. 220 ÷ 4 = ??
Think: ½ of 120 = ______ then ½ of ___ = ______
12. 248 ÷ 4 = ??
Think: ½ of 248 = ______ then ½ of ___ = ______
13. 216 ÷ 4 = ??
Think: ½ of 216 = ______ then ½ of ___ = ______
14. 232 ÷ 4 = ??
Think: ½ of 232 = ______ then ½ of ___ = ______
We can use our family of facts to help us remember these division basics too!
1.
4 x 3 = 12
3 x 4 = __
12 ÷ 4 = 3
__ ÷ 3 = 4
2.
4 x 5 = __
5 x 4 = __
__ ÷ 4 = 5
__ ÷ 5 = 4
3.
4 x 7 = __
7 x 4 = __
__ ÷ 4 = 7
__ ÷ 7 = 4
4.
4 x 9 = __
9 x 4 = __
__ ÷ 4 = 9
__ ÷ 9 = 4
5.
4 x 11 = __
11 x 4 = __
__ ÷ 4 = 11
__ ÷ 11 = 4
6.
4 x 4 = __
7.
4 x 6 = __
6 x 4 = __
__ ÷ 4 = 6
__ ÷ 6 = 4
8.
4 x 8 = __
8 x 4 = __
__ ÷ 4 = 8
__ ÷ 8 = 4
__ ÷ 4 = 4
Q. Which tables do you not have to learn?
A. Dinner tables. That’s not even funny.
Dave Moran v2 2016
Stg 6 x/÷
Divide by 4.
Name: _________________________
Can we divide tiny little numbers into 4 parts too? Why yes. Yes we can. We can use our old friend ‘place
value’ to help us quickly deal with decimal numbers.
E.g. 2.4 ÷ 4 = ?? We know 24 ÷ 4 = 6. 2.4 is 10 times smaller than 24. So 2.4 ÷ 4 = 0.6
1. 3.6 ÷ 4 = ??
Think 36 ÷ 4 = __
So 3.6 ÷ 4 must be ___
2. 0.8 ÷ 4 = ??
Think 8 ÷ 4 = __
So 0.8 ÷ 4 must be ___
3. 1.2 ÷ 4 = ??
Think 12 ÷ 4 = __
So 1.2 ÷ 4 must be ___
4. 2.8 ÷ 4 = ??
Think 28 ÷ 4 = __
So 2.8 ÷ 4 must be ___
5. 4.4 ÷ 4 = ??
Think 44 ÷ 4 = __
So 4.4 ÷ 4 must be ___
We have learned that to divide numbers by 4, we can halve, then halve again. Does this still work for bigger
numbers, or decimal numbers? You bet your wifi-password it does! It works especially well with multiples
of 4 no matter how big or small they are. Let’s start with these:
E.g. 516 ÷ 4 = ??? Half of 516 is 258. Then half of 258 is 129 – so 516 ÷ 4 = 129!
1. 136 ÷ 4 = ??
Think: ½ of 136 = ______ then ½ of 68
= ______
2. 224 ÷ 4 = ??
Think: ½ of 224 = ______ then ½ of ____ = ______
3. 14.8 ÷ 4 = ??
Think: ½ of 14.8 = ______ then ½ of ____ = ______
4. 428 ÷ 4 = ??
Think: ½ of 428 = ______ then ½ of ____ = ______
5. 61.6 ÷ 4 = ??
Think: ½ of 61.6 = ______ then ½ of ____ = ______
6. 8.48 ÷ 4 = ??
Think: ½ of 8.48 = ______ then ½ of ____ = ______
We can also split the big numbers up in a different way. We can use the fact that any 100s number divided
by four is a multiple of 25 (because 100 divided by 4 is 25) and 1000s divided by 4 will be sets of 250.
E.gs: 100 ÷ 4 = 25
E.g.
200 ÷ 4 = 50
348
÷
a.
300÷ 4 = 75
432
2000 ÷ 4 = 500
b.
652
c.
2428
4
÷
4
÷
4
÷
4
¼ of 48 = 12
¼ of 32 =
__
¼ of 52 = 13
¼ of 28 =
__
+ ¼ of 300 = 75
+ ¼ of 400 = ___
+ ¼ of 600 = ___
+ ¼ of 400 = ___
= 87
= ___
= ___
+ ¼ of 2000 = ____
= ____
Tip: In the same way that 100 ÷ 4 is 25, it’s useful to know that 1 ÷ 4 = 0.25 or ¼ of 1 = 0.25 (same thing).
Ok, what if I know my divided by 4 basic facts, but want a more efficient way of dividing big
numbers by 4? Aha! I think you are ready for a standard division technique! Ask your teacher to
show you how to do ‘fast long-division’. You’ll learn cool things like how to divide a number with
a ‘remainder’. (Not to be confused with a reindeer).
Dave Moran v2 2016
Stg 6/E7 x/÷
The divide by 4 strategy.
Name: ____________
FAST LONG DIVISION: On this sheet begin to learn how to divide any number by 4 super quickly, using only
a pencil, a bit of paper and your basic facts!
1.
2.
3.
4.
5.
22 ÷ 4 = ??
49 ÷ 4 = ??
6 ÷ 4 = ??
38 ÷ 4 = ??
27 ÷ 4 = ??
4 fits into 22 ___ times, with __ remainder.
4 fits into 49 ___ times, with __ remainder.
4 fits into 6 ___ times, with __ remainder.
4 fits into 38 ___ times, with __ remainder.
4 fits into 27 ___ times, with __ remainder.
So 22 ÷ 4 = __ r _
So 49 ÷ 4 = __ r _
So 6 ÷ 4 = __ r _
So 38 ÷ 4 = __ r _
So 27 ÷ 4 = __ r _
Scan this code with the QR
scanner on your tablet to
link to a video on division
First we have to practice finding ‘remainders’. Look at 13 for example. 4 fits into 13 three times, with 1
leftover. It looks like this: 13 ÷ 4 = 3r1
The remainder will always be 1, 2 or 3 when dividing by 4 because if it comes to 4 or
more it will be another multiple of 4.
You’ll remember how to use this format from the divided by 5s. Check this out:
First: Can you fit 4 into the
2? No, so include the next
number
a. 4 5 4 4
Next: Does 4 go into 25? Yes,
6 times, with 1 remainder.
Put the remainder by the 2
b. 4 5 7 0
Last: can you get 4 into 12?
Yes, 3 times!
c. 4 9 8 5
f. 4 9 0 4 5
r
r
r
e. 4 7 8 4 0
d. 4 4 3 5
g. 4 3 4 8 3
h. 4 9 5 7
Don’t forget to stick in the remainder at the end! Q. How would you turn the remainder into a decimal?
Hint: 1 ÷ 4 = 0.25 – so a remainder of 3, would be 3 x 0.25 = 0.75
i. 4 8 6 5 3
j. 4 2 3 4 9
k. 4 1 0 9 6
l. 4 2 0 0 9
m. 4 4 3 2 9
n. 4 2 8 5 6
o. 4 9 8 6 5
p. 4 8 7 2
Ok, very cool! But as Leah once asked, “can you use the same trick with decimal numbers?” Yeppitty yep.
It’s just the same, just with different place value. Have a quick go: (pop the decimal point in first to help)
q. 4 3 4.5 6
r. 4 4.7 8 9
s. 4 1.6 7 5
t. 4 0.7 4 8
Dave Moran v2 2016