Mixed Operation With Numbers up to Seven Digits (Worksheet)

1) A plantation has 26 730 durian trees in 90 rows equally. How many durian trees are there in each row?


                                                                                                                                               [2 marks]

2) X + 21 695 = 843 269 - 698 775
     Find the value of X.


                                                                                                                                              [3 marks]

3) A fruiterer buys 27 boxes of apples. Each box contains 20 apples. He packs the apples equally into 45      small packets. What is the number of apples in each packet?




                                                                                                                                               [3 marks]

4) There are 24 535 books in library P. The number of books in library Q is 5 times as many as in library P. What is the total number of books in library Q?

                                                                                                                                               [2 marks]

5) Diagram below shows the numbers  of marbles in box P and box Q

2950 marbles
Box P

Box Q

The number of marbles in box Q is three times the number of marbles in box P. Calculate the total number of marbles in the two boxes.



                                                                                                                                              [3 marks]

Test yourself with this Quiz. 

MIixed Operations With Numbers Up To Seven Digits

1) In a mixed operation involving multiplication and addition or subtraction, do the multiplication first.

Example 1 : 39 + 125 × 7 =

Solution :    39 + 125 × 7
              =  39 + 875
        =  914

2) In a mixed operation involving division and addition or subtraction, do the division first.

Example 2 : 101 – 54 ÷ 9 =

Solution :   101 – 54 ÷ 9

             =  101 – 6

       =  95

3) In a mixed operation involving brackets, do the operation in the brackets first.

Example 3 : (288 + 120) ÷ 12 =

Solution :    (288 + 120) ÷ 12 =

                 = 408 ÷ 12

           = 34

Example 4 : (308 – 72) × (81 – 44) =

Solution :   (308 – 72) × (81 – 44)

              =  236 × 37

        =  8 732

Example 5 : 

There are a total of 200 red pens and blue pens in a box. The number of red pens is 50. A worker packs all the blue pens in equal numbers into 10 plastic bags. Find the number of blue pens in each plastic bag.

Solution: 

• 200 red pens and blue pens in a box

• 50 of them are red pens.

• All the blue pens are packed into 10 plastic bags.

   (200 – 50) ÷ 10

=  150 ÷ 10

=  15

   

The number of blue pens in each plastic bag is 15.

Math Man

Basic Operations with Numbers up to Seven Digits (Answers)

a)
1.786975
2.603670
3.868977
4.953569

b)
1.483659
2.769695

c)

1.531216

2.308211

3.94221

4.339943

d)

1.301211

2.307026

3.60135

e)

1.186039

2.303684

3.354788

4.236296

f)

1.250680

2.731140

3.184900

4.922300

5.645000

g)

1.31203

2.3524

3.46567

4.132075

h)

1.26491

2.5235

3.7250

4.6946

i)

1.26027

2.87235r9

3.4468

4.1932r5

Basic Operations with Numbers up to Seven Digits (Worksheet)

a) Add these numbers.
1.63845+723130=
2.319543+284127=
3.4203+13014+851760=
4.15113+502264+436192=

b) Find the total using the standard written method.
1.162036+1511+320112=
2.92709+146352+530634=


c) Subtract the following.
1.593847-62631=
2.816724-508513=
3.709364-615143=
4.475369-135426=

d) Find the difference using the standard written method.
1.596847-234104-61532=
2.726654-311524-108104=
3.483656-51493-372028=


e) Multiply.
1.62013x3=
2.75921x4=
3.50684x7=
4.29537x8=

f) Find the products.
1.25068x10=
2.73114x10=
3.1849x100=
4.9223x100=
5.645x1000=


g) Do the following divisions.
1.93609÷3=
2.28194÷8=
3.419373÷9=
4.660378÷5=

h) Divide the following.
1.476838÷18=
2.136112÷26=
3.290000÷40=

i) Find quotients.
1.260270÷10=
2.872359÷10=
3.446800÷100=
4.193205÷100=

Basic Operations with Numbers up to Seven Digits

Addition within 1 000 000

Example 1: 1 450 883 + 393 415 + 98 430 =

Solution :  1 450 883

                    393 415

             +      98  430  

                 1 942 728      

Subtraction within 1 000 000

Example 2 : 8 463 425 – 5 128 390 =

Solution :  8 463 425

            – 5 128 390  

                 3 335 035

Multiplication within 1000 000

Example 3 : 73 093 × 25 =

Solution : 73  093

            ×           25

             1 827  325

Division within 1 000 000

Example 4 : 3 692 104 ÷ 7 =

Solution: 

Solve Problems Involving Basic Operations

Example 5 : The incomplete table shows the number of calculators produced by a factory in three years.

The total number of calculators produced by the factory was 147 536. Find the number of calculators produced in the year 2008.

Solution :

30 142 calculators were produced in the year 2006.

68 200 calculators were produced in the year 2007.

Total number of calculators produced in the three years was 147 536.

147 536 - 30 142 - 68 200

= 117 394 - 68 200

= 49 194

The number of calculators produced in the year 2008 was 49 194.

Answers- Whole numbers

Answers :

(a) 1. One hundred twenty-seven thousand and thirty
      2. Five hundred forty thousand six hundred and sixty-nine
      3. eight hundred nineteen thousand three hundred and eleven

(b) 1. 306 208
      2. 474 100
      3. 912 556

(c)    1. ones, 4
        2. hundreds, 100
        3. Ten thousands, 50 000
        4. Thousands, 7 000

             5. Hundred thousands, 800 000

(d)    1.196000
         2.554000
         3.673000
         4.803000

Worksheet- Whole numbers

Exercises

(a) Try to write numerals in words.    

1) 127030 -
2) 540669 -
3) 819311 -

    (b)  Write the number words in numerals

    1) Three hundred six thousand two hundred and eight -
2) Four hundred seventy-four thousand and one hundred -
3) Nine hundred twelve thousand five hundred and fifty-six -

(c) Write the place values and the values of the underlined digits.

Number	Place Value	Value of digit
178494
325160
553219
647783
800600

(d) Round off these numbers to the nearest thousand.

1) 195629 -
2) 554458 - 
3) 672503 - 
4) 802714 - 

Whole Numbers

Hello math lovers! I am so excited to write a blog especially it is about my favourite subject which is MATHEMATICS. Let me begin with the history of mathematics before lessons are given here. 

We know that there are different types of number system from one culture to another. Take for examples, Arabic numbers, Roman numbers, Chinese numbers and Babylonian numbers.

As we can see, there are many symbols to represent numbers in Egyptian number systems.

This inscription, found in Rome, reads M D LXXXIII or 1583.

We are using Arabic numerals universally such as 0, 1, 2, 3….9 which students have learnt since kindergarten. As for the standard of students in year 5, numbers up to 1,000,000 will be taught.

 Name and write numbers up to 1,000,000

1) Every digit in a whole number has its own value and place value.

Example 1: Write the number 734 043 in words.

Solution:  Seven hundred thirty-four thousand and forty-three

2) Whole numbers can be written as decimals or fractions of a million or vice versa.

Example 2 : a) Write 4 900 000 as a decimal of a million.

                     b) Write 250 000 as a fraction of a million.

Solution:   a) 4900 000 =   4 900 000  
                                            1 000 000

                                       = 4.9 million

                    b) 250 000  =  250 000  
                                           1 000 000

                                       =   25  million
                                         100

                                      =  1   million
                                         4
Example 3 : Write the following as whole numbers.
                     a) 0.062 million                  b) 2  1 
                                                                        4

Solution: a) 0.0062 million = 0.0062 x 1 000 000
                                        =  62 000

              b)  2  1  million =  2  1   x 1 000 000 
                       4                       4

                                        = 2.25 x 1 000 000

                                       = 2 250 000

3) A whole number can be rounded off to a required nearest place value.

Example 4 : Round off 256 132 to the nearest ten thousand.

Solution: 256 132 become 260 000

                   (6 is more than 5)