Category: 01. RM

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Regular Math Issue 001: Place Value

Lesson Focus

This issue practices Place Value in Regular Math.

Synopsis

Place value tells you the value of a digit based on where it appears in a number. In our base-ten number system, each position is ten times the value of the position immediately to its right. For example, in 4,582, the digit 4 represents 4,000, the digit 5 represents 500, the digit 8 represents 80, and the digit 2 represents 2. Understanding this structure helps you read large numbers accurately and recognize the value represented by each digit.

In this issue, you practice identifying ones, tens, hundreds, thousands, and larger place values. You also use place value to interpret numbers and distinguish between a digit itself and the value that digit represents. These skills form an important foundation for comparing numbers, rounding, performing arithmetic, and working with decimals later in mathematics.

Practice Problems

Problem 1. In the number 48,326, what is the value of the digit 8?

A. 8

B. 80

C. 800

D. 8,000

E. 80,000

Problem 2. Which digit is in the hundreds place in 7,294?

A. 7

B. 2

C. 9

D. 4

E. 0

Problem 3. What is the value of the digit 5 in 35,718?

A. 5

B. 50

C. 500

D. 5,000

E. 50,000

Problem 4. In 602,451, the digit 6 is in which place?

A. hundreds

B. thousands

C. ten-thousands

D. hundred-thousands

E. millions

Problem 5. Which number has a 3 in the thousands place?

A. 432

B. 3,210

C. 12,345

D. 23,100

E. 130

Problem 6. What is the value of the 9 in 91,408?

A. 9

B. 90

C. 900

D. 9,000

E. 90,000

Problem 7. In 5,064, which digit is in the tens place?

A. 5

B. 0

C. 6

D. 4

E. 1

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Answer Key

  1. Problem 1: D
  2. Problem 2: C
  3. Problem 3: D
  4. Problem 4: D
  5. Problem 5: B
  6. Problem 6: E
  7. Problem 7: C
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Regular Math Issue 002: Reading and Writing Whole Numbers

Lesson Focus

This issue practices Reading and Writing Whole Numbers in Regular Math.

Synopsis

Whole numbers can be represented in several useful forms. Standard form writes a number using digits, word form expresses the number in words, and expanded form shows the value contributed by each nonzero digit. For example, 6,304 can be written as “six thousand three hundred four” or as 6,000 + 300 + 4. Moving between these forms strengthens your understanding of how our base-ten number system is organized.

In this issue, you practice reading whole numbers correctly and translating numbers between standard, word, and expanded forms. Pay close attention to the position of each digit, including zeros that serve as placeholders. By becoming comfortable with different representations of the same number, you build skills that will help with estimation, comparison, arithmetic, and more advanced numerical reasoning.

Practice Problems

Problem 1. How is 4,305 written in words?

A. four hundred thirty-five

B. four thousand three hundred five

C. four thousand thirty-five

D. forty-three thousand five

E. four thousand five hundred three

Problem 2. Which number is six thousand two hundred nineteen?

A. 6,219

B. 6,291

C. 62,019

D. 621

E. 6,029

Problem 3. Write 80,407 in expanded form.

A. 80,000 + 400 + 7

B. 8,000 + 400 + 7

C. 80,000 + 4,000 + 7

D. 80,000 + 40 + 7

E. 800,000 + 400 + 7

Problem 4. Which word form matches 12,050?

A. twelve thousand five

B. twelve thousand fifty

C. one thousand two hundred fifty

D. twelve hundred fifty

E. one hundred twenty thousand fifty

Problem 5. Which standard form matches thirty-five thousand eight?

A. 35,800

B. 35,080

C. 35,008

D. 3,508

E. 350,008

Problem 6. Which number is written correctly with commas?

A. 12345

B. 1,2345

C. 12,345

D. 123,45

E. 1234,5

Problem 7. What is 7,000 + 600 + 20 + 9 in standard form?

A. 7,629

B. 76,029

C. 762

D. 7,269

E. 7,602

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Answer Key

  1. Problem 1: B
  2. Problem 2: A
  3. Problem 3: A
  4. Problem 4: B
  5. Problem 5: C
  6. Problem 6: C
  7. Problem 7: A
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Regular Math Issue 003: Comparing Whole Numbers

Lesson Focus

This issue practices Comparing Whole Numbers in Regular Math.

Synopsis

Comparing whole numbers means determining whether one number is greater than, less than, or equal to another. A reliable method is to compare the number of digits first and then, when the numbers have the same number of digits, compare corresponding digits from left to right. The first place where the digits differ determines which number is larger. The symbols >, <, and = are used to record these relationships.

In this issue, you practice comparing pairs of whole numbers and identifying their relative sizes. You use place-value reasoning rather than relying only on how a number looks. This skill is essential for ordering numbers, interpreting data, estimating quantities, and deciding whether numerical answers are reasonable.

Practice Problems

Problem 1. Which symbol makes this true: 4,582 ___ 4,528?

A. <

B. >

C. =

D. ≤

E. +

Problem 2. Which number is greatest?

A. 8,104

B. 8,014

C. 8,140

D. 8,041

E. 8,004

Problem 3. Which number is least?

A. 12,300

B. 12,030

C. 12,003

D. 12,330

E. 12,303

Problem 4. Compare 56,781 and 56,871.

A. 56,781 > 56,871

B. 56,781 < 56,871

C. 56,781 = 56,871

D. 56,781 + 56,871

E. Cannot compare

Problem 5. Which list is in order from least to greatest?

A. 3,102; 3,120; 3,210

B. 3,210; 3,120; 3,102

C. 3,120; 3,102; 3,210

D. 3,102; 3,210; 3,120

E. 3,210; 3,102; 3,120

Problem 6. Which number is between 6,430 and 6,450?

A. 6,405

B. 6,429

C. 6,441

D. 6,501

E. 6,399

Problem 7. Which statement is true?

A. 9,099 > 9,900

B. 7,070 < 7,007

C. 10,001 > 9,999

D. 5,555 < 5,055

E. 8,080 = 8,008

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Answer Key

  1. Problem 1: B
  2. Problem 2: C
  3. Problem 3: C
  4. Problem 4: B
  5. Problem 5: A
  6. Problem 6: C
  7. Problem 7: C