Thursday, April 30, 2015

Whole Number Summary

After completing this lesson you should have mastered the following concepts:

1) Finding the PLACE VALUE of a DIGIT in a WHOLE NUMBER.

Determine the place value of the digit 5 in each whole number.
1. 657      2. 905     3. 5423     4. 6527      5. 43,526,000       6. 79,050,000     7. 5,408,092                   8. 51,682,700

answers:
1) tens 2) ones  3) thousands  4) hundreds  5) hundred-thousands  6) ten-thousands  7)  millions  
8) ten-millions


Do you remember the meaning of the terms a) place value, b) digit and c) whole number?

  Digits are 0,1,2,3,4,5,6,7,8,9 which are used to write numbers.
  Place value is the POSITION of each DIGIT in a number.
  Whole numbers are defined as 0,1,2,3,4,5,6,7,8,9,10,11, . . . Natural numbers are whole 
        numbers NOT COUNTING the number "0".

For more problems like the ones listed below - follow this link . . . 




1)  What place is 3 in 40730 ?   a. Ones   b. Tens     
2)  What place is 4 in 6547 ?  a. Ones   b. Tens  
 3)  What place is 7 in 896547 ?  a. Ones   b. Tens    4)  What place is 1 in 3418 ?  a. Ones   b. Tens  

 5)  What place is 1 in 14 ?  a. Ones   b. Tens     6)  What place is 1 in 41 ?  a. Ones   b. Tens 
7)  What place is 1 in 14 ?  a. Ones   b. Tens     8)  what place is 4 in 74 ?  a. Ones   b. Tens
9)  What place is 4 in 41 ?  a. Ones   b. Tens    10)  What place is 9 in 69 ?  a. Ones   b. Tens   

 1)  Which digit is in the ONES place? 42
 2)  Which digit is in the HUNDREDS place? 361
 3)  Which digit is in the THOUSANDS place? 24683
 4)  Which digit is in the TENS place? 398
 5)  Which digit is in the HUNDREDS place? 786
  6)  Which digit is in the TENS place? 379
 7)  Which digit is in the ONES place? 87
 8)  Which digit is in the THOUSANDS place? 86517
  9)  Which digit is in the ONES place? 91
10)  Which digit is in the TENS place? 94
The position of a digit (the place value of a number) determines the value of the number and indicates that the number has been written in STANDARD FORM (see link below).

2) Writing a WHOLE NUMBER in words and in STANDARD FORM.

Write each whole number in words.
9) 354    10) 316    11) 8279    12) 5445    13) 26,990    14) 42,009    15) 2,388,000    16) 3,204,000 17)  24,350,185    18) 47,033,107

answers:
9) three hundred fifty four   10) three hundred sixteen  11)  eight thousand, two hundred seventy-nine  12) five thousand, four hundred forty-five 13) twenty-six thousand, nine hundred ninety  14)  forty-two thousand, nine   15)  two million, three hundred eighty-eight thousand 16)  three million, two hundred four thousand 17)  twenty-four million, three hundred fifty thousand, one hundred eighty-five  18)  forty-seven million, thirty-three thousand, one hundred seven


1)  1 x 10 + 8 x 1 =
   2)  4 x 10 + 6 x 1 =
   3)  1 x 10 =
   4)  8 x 10 =
   5)  1 x 10 + 2 x 1 =

To write a whole number in words and in standard from, write the number in each period followed by the name of that period.

To write a whole number in standard form, write the number in each period followed by a comma.


3) Write a WHOLE NUMBER in EXPANDED form.
Expanded form is a way to write numbers by showing the value of each digit.

 Write each whole number in expanded form.
 47) 406    48) 789    49) 3470    50) 6040

 answers:
47)  400 + 6    48)  700 + 80 + 9     49)  3000 + 400 + 70   50)  6000 + 40



4) Read and understand the purpose of TABLES.





REMEMBER THAT THE PURPOSE OF A TABLE IS TO ORGANIZE DATA TO ALLOW EASY ANALYSIS OF THE NUMBERS.
The table shows the six tallest mountains in New England and their elevations. Use this table to answer the questions  
1)  Write the elevation of Mt. Clay in standard form and then in words.  5532; five thousand, five hundred thirty-two
2)  Write the height of Boott Spur in expanded form. 5000 + 400 + 90 + 2
3)  Write the height of Mt. Jefferson in expanded form.  5000 + 700 + 10 + 2
4)  Which mountain is the tallest in New England?  Mt. Washington
5)  Write the elevation of Mt. Washington in standard form and then in words. 6288; six thousand, two hundred eighty-eight
6)   Which mountain is the second tallest in New England?  Mt Adams.











Using this list of words/terms fill in the blank of the following questions.

standard form,  period,  whole,  expanded form,  place value,  words

1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, … are called __________ numbers. 
2. The number 1,286 is written in __________ .
3. The number “ twenty- one” is written in ____________ . 
4. The number 900 + 60 + 5 is written in _______________. 
5. In a whole number, each group of three digits is called a( n) _____________ . 
6. The ____________ of the digit 4 in the whole number 264 is ones.


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