Math Problem Statement

Write numbers in numeral form, expanded form, compact form, order numbers, find the value of digits, identify the tens digit, and write numbers in words for 'six more than' as outlined in the worksheet.

Solution

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Question Analysis and Solutions

3. Write the following numbers in numeral form:

  • a. Six hundred and thirty-five:
    635
  • b. Four thousand two hundred and nine:
    4209
  • c. Fifty-three thousand seven hundred and twenty-two:
    53,722
  • d. Two million four hundred and seventy-eight thousand three hundred and forty-one:
    2,478,341
  • e. Eighty thousand nine hundred and three:
    80,903

4. Write the following compact numbers in expanded form:

  • a. 376
    300 + 70 + 6
  • b. 89,678
    80,000 + 9,000 + 600 + 70 + 8
  • c. 6,890
    6,000 + 800 + 90 + 0
  • d. 2,789,514
    2,000,000 + 700,000 + 80,000 + 9,000 + 500 + 10 + 4
  • e. 79
    70 + 9
  • f. 6,890,513
    6,000,000 + 800,000 + 90,000 + 500 + 10 + 3
  • g. 4,009
    4,000 + 0 + 0 + 9

5. Write the following expanded numbers in compact form:

  • a. 6 × 100 + 3 × 10 + 1 × 1:
    631
  • b. 5 × 1,000 + 8 × 100 + 9 × 10 + 3 × 1:
    5,893
  • c. 7 × 10,000 + 6 × 1,000 + 0 × 100 + 0 × 10 + 7 × 1:
    76,007
  • d. 9 × 100,000 + 2 × 10,000 + 5 × 1,000 + 1 × 1,000 + 8 × 100 + 9 × 10 + 0 × 1:
    925,890

6. Write the following numbers in order of value, from largest to smallest:

  • a. 7,095; 6,795; 6,895; 7,096:
    7,096 > 7,095 > 6,895 > 6,795
  • b. 1,978; 1,678; 1,987; 1,967:
    1,987 > 1,978 > 1,967 > 1,678

7. What is the value of the digit 6 in each of the following numbers?

  • a. 6,342:
    6,000
  • b. 506:
    0
    (No value for 6 in this number)
  • c. 56,821:
    6,000
  • d. 21,065:
    60
  • e. 6,521,437:
    6,000,000
  • f. 10,600:
    600
  • g. 481,269:
    60

8. Which digit in each of the following has the value in the tens?

  • a. 46:
    4
  • b. 971:
    7
  • c. 6,325:
    2
  • d. 921,464:
    6

9. Write the number in words that is six more than:

  • a. Two hundred and seventeen:
    Two hundred and twenty-three
  • b. Five thousand six hundred and thirty-seven:
    Five thousand six hundred and forty-three
  • c. Two thousand and twenty-seven:
    Two thousand and thirty-three
  • d. Four hundred and six:
    Four hundred and twelve
  • e. Six thousand two hundred:
    Six thousand two hundred and six
  • f. Nine hundred and eleven:
    Nine hundred and seventeen

Would you like further details on any of these solutions or extra clarification?


Related Questions to Expand Your Knowledge:

  1. How can you convert any number to its expanded form?
  2. What is the value of digits based on their place in a number?
  3. Can you describe how to order numbers with decimals from largest to smallest?
  4. What are some strategies to quickly convert between words and numeral forms?
  5. How do you handle cases where zeros affect the value in expanded or compact forms?

Tip:

When converting numbers between word form and numeral form, start by identifying place values (units, tens, hundreds, thousands, etc.) to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Numeration (writing numbers in words and numerals)
Expanded and Compact Forms of Numbers
Place Value and Value of Digits
Ordering Numbers by Magnitude
Basic Addition with Words and Numbers

Formulas

Place value expression: Digit × 10^position
Ordering: Compare numbers digit by digit from highest place value
Addition: Base number + 6

Theorems

Place Value Theorem
Basic Properties of Addition

Suitable Grade Level

Grades 4-6