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Term 2 Week 5 – Whole numbers
Monday 11-05-2020 Addition and subtraction
Tuesday 12-05-2020 Multiplication and division
Wednesday 13-05-2020 Order of operation (BODMAS)
Thursday 14-05-2020 Double and half
Friday 15-05-2020 Properties of whole numbers
KWAGGASRAND SCHOOL
MATHEMATICS
YEAR 3
LEARNER WORK DURING LOCKDOWN
TERM 2 WEEK 5
TEACHER: MR. A. DU PLESSIS
LESSON 16
ADDITION AND SUBTRACTION
1. Solve the following addition and subtraction problems. You are allowed to use a
calculator.
a) 4 506 + 328 + 14 854 = __________________
b) 67 542 – 35 487 + 14 202 = __________________
c) 321 548 – 50 458 – 32 024 = __________________
d) 16 241 + 35 102 – 2 684 = __________________
e) 548 658 – 158 654 – 36 487 = __________________
f) 334 587 + 694 658 + 450 000 = __________________
g) 5 545 321 – 1 000 478 – 354 215 = __________________
h) 225 635 + 22 545 468 – 13 458 654 = __________________
i) 55 658 014 – 25 781 002 + 2 354 = __________________
j) 12 548 + 354 687 + 5 658 471 = __________________
k) 66 545 487 – 658 741 – 60 784 = __________________
l) 350 + 5 684 + 45 689 + 124 784 + 3 521 004 = __________________
m) 35 548 691 – 9 641 027 – 801 258 – 55 689 – 4 321 – 464 = ________________
2. Round the following numbers off to the nearest 10, 100, 1000 and 10 000
Number ≈ 10 ≈ 100 ≈ 1 000 ≈ 10 000
Ex. 45 854 635 45 854 640 45 854 600 45 855 000 45 850 000
a) 12 568
b) 312 584
c) 1 235 892
d) 35 400 158
e) 45 589
f) 33 421
g) 452 312
h) 12 548 355
i) 658 461
3. Write the following numbers in expanded notation. You can use any method
you have learned.
Example: 12 658 442
10 000 000 + 2 000 000 + 600 000 + 50 000 + 8 000 + 400 + 40 + 2
Or
(1 x 10 000 000) + (2 x 1 000 000) + (6 x 100 000) + (5 x 10 000) + (8 x 1 000)
+ (4 x 100) + (4 x 10) + (2 x 1)
Or
1TM + 2M + 6HTH + 5TTH + 8TH + 4H + 4T + 2U
a) 4 501 = ______________________________________________________
____________________________________________________________
b) 68 410 =_____________________________________________________
____________________________________________________________
c) 126 375 = ____________________________________________________
____________________________________________________________
d) 581 851 = ____________________________________________________
____________________________________________________________
e) 2 305 749 = __________________________________________________
____________________________________________________________
f) 5 483 004 = __________________________________________________
____________________________________________________________
g) 32 548 452 = _________________________________________________
____________________________________________________________
h) 75 620 847 = _________________________________________________
____________________________________________________________
LESSON 17
MULTIPLICATION AND DIVISION
1. Use long multiplication to solve the following multiplication problems.
You can follow the link below to see an example:
https://www.youtube.com/watch?v=GKetIwxaenA
Example:
a) 365
x 5
______
b) 564
x 23
________
+________
_________
c) 2 358
x 36
__________
+_________
__________
2 2 1
3 4 2
1 1
4 6 9 4
x 3 5 2
19 3 8 8
2 23 4 7 0 0
+ 1 4 0 8 2 0 0
1 6 5 2 2 8 8
Step 1: Multiply all the top digits individually with the 2 (unit place value). 4 x 2 = 8 9 x 2 = 19 (write 9 carry the 1) 6 x 2 = 12 + 1 that was carried = 13 (write 3 carry 1) 4 x 2 = 8 + 1 that was carried = 9
Before starting with step 2, write a 0, because we are working with the tens place value next. Step 2: Multiply all the top digits individually with the 5. 4 x 5 = 20 (write 0 carry the 2) 9 x 5 = 45 + 2 that was carried = 47 (write 7 carry the 4) 6 x 5 = 30 + 4 that was carried = 34 (write 4 carry 3) 4 x 5 = 20 + 3 that was carried = 23
Before starting with step 3, write two zeros, because we are working with the hundreds place value next. Step 3: Multiply all the top digits individually with the 3 (hundreds place value). 4 x 3 = 12 (write 2 carry the 1) 9 x 3 = 27 + 1 that was carried = 28 (write 8 carry the 2) 6 x 3 = 18 + 2 that was carried = 20 (write 0 carry 2) 4 x 3 = 12 + 2 that was carried = 14 Final step. Add the three answers together that you just
calculated.
d) 3 671
x 3
_______
e) 534
x 243
___________
___________
+__________
___________
f) 2 463
x 348
___________
___________
+__________
___________
g) 3 672
x 582
___________
___________
+__________
___________
h) 6 904
x 449
___________
___________
+__________
___________
i) 3 618
x 257
___________
___________
+__________
___________
j) 2 376
x 342
___________
___________
+__________
___________
2. Use long division to solve the following problems.
You can follow the link below to see an example:
https://www.youtube.com/watch?v=M3D3L1iIzks
Example: 6 328 ÷ 230
0027 r118 230 6328
- 460 1728 - 1610 0118
a) 256 ÷ 7
__________________
__________________
__________________
__________________
__________________
__________________
b) 3458 ÷ 3
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
You are allowed to use your calculator to assist
you in doing these calculations.
Step 1: 632 ÷ 230 = 2,74782….. the number
infront of the comma tells you how many
times 230 can go into 632. In this case 230
goes into 632, 2 times.
Step 2: 2 x 230 = 460
Step 3: 632 – 460 = 172
Step 4: Bring down the 8.
Repeat all steps above.
Step 1: 1728 ÷ 230 = 7,5130… (write 7)
Step 2: 7 x 230 = 1610
Step 3: 1728 – 1610 = 118
Step 4: No more numbers to bring down. You
are done with the calculation. Whatever is left
becomes your remainder.
No more numbers to bring down. Can
230 go into 118. The answer is no,
therefor it becomes the remainder.
c) 6814 ÷ 26
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
d) 8435 ÷ 45
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
e) 4594 ÷ 225
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
f) 23584 ÷ 315
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
g) 354924 ÷ 450
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
h) 9648 ÷ 233
__________________
__________________
__________________
__________________
__________________
__________________
__________________
__________________
LESSON 18 ORDER OF OPERATION (BODMAS)
You can follow the link to see an example:
https://www.youtube.com/watch?v=dAgfnK528RA
1. Complete the following calculations without a calculator.
a) 5 + 2 x 3
_____________________
_____________________
_____________________
_____________________
b) 2 x 2 ÷ 4
_____________________
_____________________
_____________________
_____________________
c) 12 + 28 ÷ 4
_____________________
_____________________
_____________________
_____________________
d) ( 2 + 5 ) x 4
_____________________
_____________________
_____________________
_____________________
e) 12 x (15 – 3)
_____________________
_____________________
_____________________
_____________________
f) 36 ÷ 3 x 8
_____________________
_____________________
_____________________
_____________________
g) (12 x 3 ) – (5 x 5)
_____________________
_____________________
_____________________
_____________________
h) 12 + 8 x 3 + 15
_____________________
_____________________
_____________________
_____________________
i) 16 – 8 ÷ 4 x 5
_____________________
_____________________
_____________________
_____________________
j) 36 ÷ 3 + 5 x 5 - 15
_____________________
_____________________
_____________________
_____________________
k) 5 x 6 + (9 x 15) – 50
_____________________
_____________________
_____________________
_____________________
l) (200 ÷ 4) x 2 – 40 +15
_____________________
_____________________
_____________________
_____________________
( ) OF X +
÷ - Brackets Of Times / divide Plus / Minus
LESSON 19
DOUBLE AND HALF
Double means we multiply by 2. (___ x 2)
Half means we divide by 2. (___ ÷ 2)
You are allowed to use your calculator.
1. Double each of the following numbers.
a) 25 = ______ b) 33 = ______ c) 45 = ______
d) 63 = ______ e) 243 = ______ f) 368 = ______
g) 89 = ______ h) 122 = ______ i) 146 = ______
j) 435 = ______ k) 622 = ______ l) 1 242 = ________
m) 2 458 = _________ n) 6 845 = _________ o) 34 548 = _________
p) 54 584 = _________ q) 248 124 = _________ r) 515 021 = _________
s) 1 014 584
= _______________
t) 2 358 685
= ________________
u) 52 684 210
= ________________
2. Half each of the following numbers.
a) 16 = ______ b) 42 = ______ c) 66 = ______
d) 86 = ______ e) 122 = ______ f) 268 = ______
g) 462 = ______ h) 844 = ______ i) 1 054 = ______
j) 1 566 = ______ k) 4 568 = ______ l) 8 432 = ________
m) 15 610 = _________ n) 24 578 = _________ o) 46 946 = _________
p) 79 136 = _________ q) 154 332 = _________ r) 339 750 = _________
s) 1 014 584
= _______________
t) 2 358 680
= ________________
u) 52 684 218
= ________________
LESSON 20
PROPERTIES OF WHOLE NUMBERS
- Addition and subtraction are inverse operations of one another, meaning
that they are opposites of one another.
6 + 4 = 10
10 – 6 = 4
- Multiplication and division are inverse operations of one another, meaning
that they are opposites of one another.
6 x 2 = 12
12 ÷ 6 = 2
You can follow the link to see how inverse operations work.
https://www.youtube.com/watch?v=D695SVFf8As
- The word identity element simply means that whatever number you are
working with will remain the same. The number does not change.
You can follow the link to see an explanation.
https://www.youtube.com/watch?v=Vkk1SjfE6mI
- 0 is the identity element for addition: t + 0 = t
(t represents any number)
t = 50
then
t + 0 = t
is actually
50 + 0 = 50
- 1 is the identity element for multiplication: t x 1 = t
(t represents any number)
t = 50
then
t x 1 = t
is actually
50 x 1 = 50
1. Find the missing numbers by make use of the inverse operation method.
a) 5 + ____ = 15
15 - ____ = 5
b) 20 - ____ = 5
5 + ____ = 20
c) ____ + 25 = 40
40 - ____ = 25
d) ____ - 30 = 40
40 + 30 = ____
e) 150 + 75 = _____
_____ - 75 = 150
f) _____ + 450 = 750
750 – _____ = 450
g) 1 500 – 350 = _______
_______ + 350 = 1500
h) 5 675 + _______ = 6 000
6 000 – 5 675 = _______
i) 12 584 - ________ = 2 584
2 584 + ________ = 12 584
j) 60 846 + 24 584 = __________
__________ - 60 846 = 24 584
k) 4 x 5 = _____
_____ ÷ 5 = 4
l) 15 ÷ ____ = 5
5 x ____ = 15
m) _____ x 10 = 200
200 ÷ _____ = 10
n) 125 ÷ 5 = _____
_____ x 5 = 125
o) 136 x _____ = 816
816 ÷ 136 = _____
p) 234 ÷ 26 = _____
_____ x 26 = 234
q) ______ x 6 = 3 108
3 108 ÷ 6 = _______
r) _______ ÷ 45 = 358
358 x 45 = ________
s) 60 x 550 = __________
________ ÷ 550 = 60
t) 256 152 ÷ 78 = _________
_________ x 78 = 256 152
2. Complete the following tables by replace the t with the given numbers.
t + 0 = t
t 1 25 63 243 536 1 021 5 200 10 215 251 684
= 1
0 + t = t
t 43 62 422 674 2 341 3 687 9 423 13 487 321 543
= 43
t x 1 = t
t 13 43 67 142 333 657 2 457 31 567 425 789
= 13
1 x t = t
t 23 52 87 93 153 634 6 789 12 435 843 124
= 23
