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★Whole Numbers Paper 1
Monday, 4 February 2013 // 0 narnian

WHOLE NUMBERS (PLACE VALUE & ROUNDING OFF)

TIPS

If the first digit to the right of the place value involved is 5 or more, add 1 to the digit in the place value involved and replace all the other digits on its right with zeros.

COMMON MISTAKES

Error in rounding off whole numbers
Example:
Round off 36 670 to the nearest thousand.
Χ   36 670 = 36 000 (to the nearest thousand)
     
Wrong because did not add 1 to 6.

√   36 670 = 37 000 (to the nearest thousand)

WHOLE NUMBERS (CONVERSION)

TIPS

For example:
  1. 20 005 is written in words as twenty thousand and five.
  2. Forty thousand seven hundred and eight is written in numerals as 40 708.


COMMON MISTAKES

Error in writing the whole number.
Example:
621 026 written in words is
Χ   six hundred twenty-one thousand and zero twenty-six
                                                                   
                                  Zero in a number need not be written or read.

√   six hundred twenty-one thousand and twenty-six

WHOLE NUMBERS (PARTITIONING, ASCENDING & DESCENDING)

TIPS

The number which lies further to the right on a number line has a greater value than those to the left.


COMMON MISTAKES

Error in differentiate between ascending and descending.
Example:
Arrange 20 246, 20 199 and 21 046 in ascending order.
Χ   21 046, 20 246, 20 199

                    
The sequence is in descending order. Ascending order is from smaller value to higher value.


 √   20 199, 20 246, 21 046

WHOLE NUMBERS (ADDITION & SUBTRACTION)

TIPS

  1. An addition is a process of finding the sum of two or more numbers.
  2. A subtraction is a process of finding the difference between two numbers.
  3. Subtraction is the inverse of addition.
  4. For example,
    Find the sum of 8 752, 19 230 and 25 469.
    Answer:


COMMON MISTAKE

Error in arranging the digits according to their place values in vertical form.
Example:
  1. 2 352 + 645 =

      X

      2 352
    + 9 74
      8 802
                    
    Wrong because the digits are not arranged in their correct place values.

      √

  2.   2 352
    + 6 45
      2 997




WHOLE NUMBERS (MULTIPLICATION & DIVISION)

TIPS

  1. Any number multiplied by 1 is equal to the number itself.
  2. The product of any whole number multiplied by 0 is 0.
  3. The quotient of a number divided by 0 is undefined.
  4. The quotient of 0 divided by any number (except 0) is 0.
  5. Division is the inverse of multiplication.
  6. We can use lattice multiplication method to solve question.
    For example,
572 x 24 = 13 728
 


COMMON MISTAKE

Error in arranging the digits according to their place values in vertical form.
Example:
246 x 11 =
Incorrect:
    246
 x   11
    246
 +  246
    492
Wrong. It should be 246 x 10 not 246 x 1.

Correct:
    246
 x   11
    246
 + 246 
   2706

  • WHOLE NUMBERS (MIX OPERATION & BODMAS)

  • TIPS

    Use BODMAS which stands for Brackets (B), Of (O), Division (D), Multiplication (M), Addition (A) and Subtraction (S).
    So, we should always compute the arithmetic in brackets first. Then, we divide, multiply, add and lastly, subtract.



    COMMON MISTAKES

    Error in calculations involving mixed operations.
    Example:
    1. 4 840 / (40 – 32) =

      Incorrect:
      4 840 / (40 – 32)
      = 121 - 32
      = 89 

      Correct:
      4 840 / (40 – 32)
      = 4 840 / 8
      = 605






















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