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Unit 2.
Whole Numbers: Addition and Subtraction (6 digit numbers).
Activity 1.
Whole Numbers.
1. Copy and complete each number pattern.
a.
21 200
19 200
b.
4 625
5 000
c.
51 kg
51,2kg
d.
7
e.
4
9
16
11 200
5 500
2
73
51,8kg
5
76
2. Write these words as numbers.
a. Five hundred and twenty one thousand one hundred and eight.
b. One hundred and nineteen thousand six hundred and thirty two.
c. Six hundred and forty two thousand one hundred and seventy.
d. Eight hundred and seventy three thousand and thirteen.
3. Copy and complete the table.
Example:
Number.
31 504
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
210 438
654 773
408 991
61 528
70 006
122 357
842 615
910 227
370 058
127 809
Expanded Notation.
30 000+ 1 000+ 500+ 4
4. What is the place value of the 9 in each of these numbers?
a. 946 514
b. 280 379
c. 893 517
e. 106 493
f. 539 782
g. 363 798
5. Arrange these numbers from biggest to smallest.
a. 19 919 11 999
11 119 19 991 19 199
b. 236 123 263 123 263 321 236 321 263 312
c. 3 450 265 3 540 600 3 500 968
d. 46 238 591 64 328 951 46 500 000
e. 123 567 480 123 657 480 123 756 480
The no. in words.
Thirty one thousand five
hundred and four.
d. 149832
h. 698 586
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6. Round off to the nearest 5, 10, 100 and 1 000.
Copy and complete the table.
5
10
Example:
462 517
462 515
462 520
a. 647 128
b. 306 942
c. 227 419
d. 510 834
e. 728 863
100
462 500
1 000
463 000
7. Use the numbers in the block. Use each digit only once.
8;
7;
0;
3;
5;
6;
1;
2;
4
a. Make the smallest 9 digit number.
b. Make the biggest 9 digit number. You can use 1 digit twice.
8. Prime numbers.
a. Write down the prime numbers between 10 and 30.
b. Write the prime numbers between 50 and 70.
Activity 2.
Working with big numbers.
Millions
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
Tens Units
M
3
HTH
4
TTH
2
TH
5
H
6
T
7
U
9
3 000 000
400 000
20 000
5 000
600
70
9
Copy and complete the number sentences.
1. a. 905+?=1 000
b. 775+?=1 000
d. 575+?=1 000
e. 622+?=1 000
c. 145+?=1 000
f. 354+?=1 000
2. a. 1 000-?=850
d. 1 000-?=903
b. 1 000-?=444
e. 1 000-?=629
c. 1 000-?=175
f. 1 000-?=347
3. a. 4 550+?=10 000
d. 4 005+?=10 000
b. 1 250+?=10 000
e. 6 220+?=10 000
c. 5 050+?=10 000
f. 7 415+?=10 000
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4. a. 10 000-?=1 690
d. 10 000-?=6 825
b. 10 000-?=900
e. 10 000-?=2 815
c. 10 000-?=4 345
f. 10 000-?=5 001
5. A soccer stadium holds 70 000 people.
There are 63 875 spectators at the match.
How many empty seats are there?
Activity 3.
Add and Subtract.
Copy and complete the tables.
1.
Number
Add 10
Add 100
a. 342 389
b. 476 381
c. 124 123
d. 645 002
e. 137 984
2.
Number
Subtract 10 Subtract
100
a. 438 982
b. 367 463
c. 428 394
d. 534 005
e. 238 291
Add 1 000
Subtract
1 000
Add 10 000
Add 100 000
Subtract
10 000
Subtract
100 000
3. Word Problems.
a. There were 26 850 pine trees in a forest.
A fire destroys 11 300 trees.
How many trees are left?
b. Three new plantations are planted with 12 940,
10 635 and 15 384 trees.
How many new pine trees are planted altogether?
Activity 4.
Round off, estimate and calculate (5 digit numbers).
The easiest way to estimate an answer is to round off each
number to the nearest 10, 100, 1 000, 10 000 or 100 000…
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Addition.
Use the examples below to complete each addition calculation.
Number
13 841 + 25 634 = ?
nearest 10
13 840 + 25 630 = 39 470
nearest 100
13 800 + 25 700 = 39 500
nearest 1 000
14 000 + 26 000 = 40 000
Work out
13 841
+ 25 634
39 475
1. a. 25 163 + 16 249
b. 25 827 + 16 254
c. 15 936 + 17 485
d. 32 464 + 19 876
e. 16 735 + 12 849
f. 26 351 + 32 986
Subtraction.
Number
nearest 10
nearest 100
nearest 1 000
Work out
65 738 – 23 465
65 740 – 28 470 = 37 270
65 700 – 28 500 = 37 200
66 000 – 28 000 = 38 000
65 738
- 28 465
37 273
2. a. 93 265 – 38 516
b. 77 390 – 38 426
c. 51 876 – 37 499
d. 84 912 – 36 451
e. 63 257 – 46 189
f. 70 532 – 36 472
Unit 3.
Addition and Subtraction.
Activity 1.
Fun with big numbers.
1. Write each number in expanded notation and in words.
a.
b.
c.
d.
e.
756 893
93 089
40 312
270 001
598 304
f.
g.
h.
160 244
350 025
32 381
40 000+ 300 + 10 + 2
Five hundred and ninety eight
thousand three hundred and four.
129
i.
22 990
j.
100 304
Write the number sentences. E.g: 29 576 – 10 000 = 19 576.
2. 25 678
3 492
50 261
3 970
26 000
4 732
+ 1 500
3. 29 576
30 000
17 250
45 000
10 000
54 000
- 3 000
- 10 000
+ 7 000
How fast can you do these?
4. a. Add 45 000 and 17 000
5. a. Decrease 62 000 by 13 000
b. Subtract 15 500 from 100 000
b. Increase 28 000 by 18 000
c. 12 500 plus 7 500
c. Subtract 86 400 from 100 000
d. The sum of 75 000 and 28 000
d. The sum of 37 400 and 12 800
e. Take 12 500 from 40 000.
e. Round off 749 500 to nearest 100 000
Activity 2.
Addition of 6 digit numbers.
6 digit numbers are very large numbers and it is important to write
them correctly.
M
4
HTH
6
TTH
8
Always leave a gap
between millions and
hundred thousands.
TH
3
H
5
T
2
U
7
Always leave a gap
between thousands
and hundreds.
1. Write the numbers like the example given below.
Remember to leave gaps in the correct places.
Example:
Four million three hundred and seven thousand and forty two.
4 307 042 = 4 000 000 + 300 000 + 7 000 + 40 + 2
Drawing columns with the headings M,
HTH, TTH, TH, H, T and U might help
you.
a. two million four hundred and eighty seven.
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b. five million two hundred thousand and fifty.
c. one million fifty five thousand two hundred and forty.
d. eight million three hundred and twenty one thousand and six.
e. six million twenty one thousand and nine.
2. a. 594 000 + ? = 1 000 000
c. 120 000 + ? = 1 000 000
e. 990 000 + ? = 1 000 000
3.
550 000
b. 470 000 + ? = 1 000 000
d. 35 000 + ? = 1 000 000
f. 99 000 + ? = 1 000 000
+100 000
+10 000
+50 000
+ 15 000
+100 000
+60 000
+ 5 000
Activity 3.
Adding 6 digit numbers.
To which hundred thousand is each number closest?
a. 321 645
100 000
200 000
300 000
c. 680 492
b. 550 000
400 000
500 000
600 000
700 000
800 000
900 000
a. 321 645 is closer to 300 000 than 400 000.
321 645 ≈ 300 000.
b. 550 000 is halfway between 500 000 and 600 000.
550 000 ≈ 600 000.
c. 680 492 is closer to 700 000 than 600 000.
680 492 ≈ 700 000.
1. Round off each number to the nearest 100 000.
a. 163 290
b. 745 384
c. 450 000
d. 780 621
2. Look at the example below and then complete each addition calculation.
Addition.
Number
Nearest 100 000
Work out
348 125 + 392 408
300 000 + 400 000 = 700 000
348 125
+ 892 408
1 240 533
a. 326 184 + 139 206
d. 356 249 + 351 924
g. 130 495 + 502 319
Activity 4.
b. 456 789 + 235 610
e. 332 819 + 256 030
h. 506 311 + 279 832
c. 292 611 + 491 302
f. 293 128 + 423 605
i. 712 389 + 113 042
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Subtracting 6 digit numbers.
Look at the example below and complete each subtraction calculation.
Subtraction.
Number.
Round off to nearest Work out.
Check with inverse
100 000.
operation.
896 423 – 348 594
900 000 – 300 000 =
896 423
547 829
600 000
- 348 594
+ 348 594
547 829
896 423
a. 946 392 – 328 564
d. 873 475 – 345 129
g. 267 328 – 242 218
b. 354 786 – 215 558
e. 878 578 – 657 494
h. 345 945 – 132 684
c. 875 321 – 564 290
f. 678 578 – 465 594
i. 987 475 – 545 129
Activity 5.
Addition and subtraction word problems.
1. The Sibisi family bought a house for R532 500.
They paid a deposit of R145 200.
How much do they still owe?
2. What is the difference between R400 000
and the sum of R238 590 and R106 250?
3. The shoe factory produced 152 480 pairs of
black school shoes and 107 240 pairs of
brown school shoes.
How many pairs of shoes did they produce
altogether?
4. Write an interesting word problem of your own
for: 375 412 and 654 321.
Solve the problem.