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# MTH/P/6: OPERATIONS ON NUMBERS

##### Mathematics Primary Six

LESSON 1

Subtopic:               Addition of whole numbers up to millions.

Content:                Adding large whole numbers up to millions with and without carrying.

1  1   1  1     1   1  1

Examples :            (a)               7  8 6 4   7 6 2

+ 1  9 7 9    8 6 8

9  8 4 4    6 3 0

(b)               2 3 3 0 46

+ 4 1 3 7 2 1

6 4 6 7 6 7

LESSON 2

Subtopic:               Word problems involving addition of large numbers.

Content:                 Solve problems involving addition of large numbers.

Example:              (a)           There were 246 240 books in a library and 167 645 more books were donated to the same library. How many books                                       are these altogether?

2  4  6   2  4  0

+      1  6  7   6  4  5

4 1 3 8 8 5 books

LESSON 3.

Subtopic:               Subtraction of whole numbers ot millions.

Content:                 Subtract large numbers up to millions.

Examples:             (a)           4  11  12   13

2   3        1   8   6

–           1    3   4   5      1   0   2

3    8    8  8      0   8   4

(b)           9 4 6    7 8  6

5 2 3    5 3  4

4 2 3     2 5 2

LESSON 4

Subtopic:               Subtraction

Content:                World problems involving subtraction of large numbers to million.

Examples:             A dairy processed 6500 650 litres of milk and sold 5650945 litres. How many litres were left?

6  500  650  litres

–       5  650  945 litres

849  705 litres

LESSON 5

Subtopic:               Multiplication

Content:                 Multiplication of large numbers

• By 2 digit number
• By 3 digit number

Examples:             (i)            1  4 3

x  1 8

1144

+        1430

2574 (ii)           1324

x 132

2648

39720

+ 132400

174768

LESSON 6

Subtopic:               Multiplication

Content:                Word problems involving multiplication of large numbers to millions.

Example:              A company has 850 workers who earn sh 5460 each a day.

How much does the company spend on wages everyday?

5 4 6 0

x 8 5 0

0 0 0 0

2 7 3 0 0

+  4 3 6 8 0

4 6 4 1 0 0 0

LESSON 7

Subtopic:               Division

Content:                  Divide large numbers.

• By 2 digit
• By 3 digit

Examples:

(i)                   152

13   1976

– 13

67

– 65

26

– 26

00

(ii)                     53

120  6360

– 600

360

– 360

000

LESSON 8

Subtopic:               Division

Content:                Word problems involving division of large numbers.

Example:              A petrol station manger bought 2200 litres of motor oil. If she put equal amount of oil in 440 drums. How many litres of oil were                                 in each drum?

50

440    220000

– 2200

0

-0

0

LESSON 9

Subtopic:               Combined operations on numbers

Content:                                Use of BO MAS

Examples:             (i)            Work out: 9 – 15 + 6

(9 + 6 ) – 15

15 – 15

0

(ii)           8 ¸ 4 x 3                                                (iii)          18 – ( 4 x 3) ¸ 6

B O D M A S

(8 ¸ 4) x 2

2 x 2

4

LESSON 10

Subtopic:               Properties of numbers.

Content:                (i)            Commutative properties

(ii)           Distributive property

(iii)          Associative property

Example:              (i)            Commutative

Order of addition or multiplication does not change the results

(a)           3 + 4 = 4 + 3                          (b)           4  x 5 =  5 x 4

7    =      7                                           20  =     20

(ii)           Associative property

Order of grouping two numbers in addition or

Multiplication does not change results

e.g    3 + ( 8 + 9 )       =      (3 + 8 ) + 9

3 + 17              =       11 + 9

20                 =           20

(iii)          Distribution property

e.g Work out using distributive property

(2 x 3 ) + ( 2 x 4 )

2 ( 3  + 4)

2 (7)

2 x 7 = 14

### ASSIGNMENT : OPERATIONS ON NUMBERS. P.6 assignmentMARKS : 10  DURATION : 1 week, 3 days

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