Category: 02. PA

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Pre-Algebra Issue 001: Reviewing Whole Numbers

Lesson Focus

This issue practices Reviewing Whole Numbers in Pre-Algebra.

Synopsis

Whole numbers are the nonnegative counting numbers 0, 1, 2, 3, and so on. Before beginning more advanced pre-algebra topics, it is important to be comfortable reading, comparing, rounding, and performing basic operations with whole numbers. These familiar skills become the numerical foundation for expressions, equations, variables, and problem solving.

In this issue, you review key ideas involving whole numbers and apply them in a variety of short problems. You may need to recognize number properties, identify even or odd numbers, use divisibility ideas, compare values, or round to a specified place. The goal is to strengthen number sense so that later algebraic work can focus on new concepts rather than basic numerical difficulties.

Practice Problems

Problem 1. What is 4,000 + 300 + 20 + 5?

A. 4,325

B. 4,235

C. 43,025

D. 4,305

E. 432

Problem 2. Which digit is in the thousands place in 28,614?

A. 2

B. 8

C. 6

D. 1

E. 4

Problem 3. What is 735 + 268?

A. 993

B. 1,003

C. 1,013

D. 903

E. 1,103

Problem 4. What is 5,000 – 1,875?

A. 3,125

B. 3,225

C. 4,125

D. 2,875

E. 3,075

Problem 5. Which number is even?

A. 341

B. 527

C. 608

D. 719

E. 935

Problem 6. Which number is divisible by 10?

A. 405

B. 410

C. 411

D. 419

E. 421

Problem 7. Round 6,482 to the nearest hundred.

A. 6,400

B. 6,500

C. 6,480

D. 6,000

E. 7,000

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Answer Key

  1. Problem 1: A
  2. Problem 2: B
  3. Problem 3: B
  4. Problem 4: A
  5. Problem 5: C
  6. Problem 6: B
  7. Problem 7: B
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Pre-Algebra Issue 002: Place Value Review

Lesson Focus

This issue practices Place Value Review in Pre-Algebra.

Synopsis

Place value describes how the position of a digit determines its value. In a base-ten system, moving one place to the left multiplies a digit’s value by ten, while moving one place to the right divides its place value by ten. For example, the 7 in 72,409 represents 70,000 because it is located in the ten-thousands place. Expanded form makes this structure visible by separating a number into the values of its individual digits.

In this issue, you review how to identify place positions, determine the value represented by a digit, and convert between standard and expanded forms. You also consider the role of zero as a placeholder. A strong understanding of place value supports later work with decimals, scientific notation, estimation, and algebraic expressions involving powers of ten.

Practice Problems

Problem 1. What is the value of the 7 in 72,409?

A. 7

B. 70

C. 700

D. 7,000

E. 70,000

Problem 2. Which digit is in the ten-thousands place in 156,230?

A. 1

B. 5

C. 6

D. 2

E. 3

Problem 3. Write 9,000 + 80 + 4 in standard form.

A. 9,084

B. 9,804

C. 9,840

D. 984

E. 90,804

Problem 4. In 43,912, the digit 3 is in which place?

A. ones

B. tens

C. hundreds

D. thousands

E. ten-thousands

Problem 5. Which number has a 6 in the hundreds place?

A. 6,120

B. 4,681

C. 2,604

D. 9,061

E. 16,002

Problem 6. What is the value of 0 in 8,052?

A. 0

B. 5

C. 50

D. 500

E. Cannot be determined

Problem 7. Which expanded form equals 31,507?

A. 30,000 + 1,000 + 500 + 7

B. 30,000 + 1,000 + 50 + 7

C. 3,000 + 100 + 500 + 7

D. 31,000 + 50 + 7

E. 30,000 + 1,500 + 7

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Answer Key

  1. Problem 1: E
  2. Problem 2: B
  3. Problem 3: A
  4. Problem 4: D
  5. Problem 5: B
  6. Problem 6: A
  7. Problem 7: A
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Pre-Algebra Issue 003: Comparing & Ordering Numbers

Lesson Focus

This issue practices Comparing & Ordering Numbers in Pre-Algebra.

Synopsis

Comparing and ordering numbers requires you to understand the value of each digit and examine numbers systematically. For whole numbers, numbers with more digits are generally larger; when two numbers have the same number of digits, compare them from the greatest place value toward the right. Ordering extends this process by arranging several numbers from least to greatest or greatest to least.

In this issue, you practice using place value and comparison symbols to determine relationships among numbers. You also organize sets of numbers into the correct sequence. These skills strengthen number sense and prepare you for comparing integers, fractions, decimals, and algebraic quantities in later pre-algebra lessons.

Practice Problems

Problem 1. Which is greatest?

A. 4,308

B. 4,380

C. 4,083

D. 4,803

E. 4,038

Problem 2. Which is least?

A. 9,701

B. 9,170

C. 9,017

D. 9,710

E. 9,071

Problem 3. Put in order from least to greatest: 802, 820, 208.

A. 802, 820, 208

B. 208, 802, 820

C. 820, 802, 208

D. 208, 820, 802

E. 802, 208, 820

Problem 4. Which symbol makes this true: 15,208 ___ 15,280?

A. <

B. >

C. =

D. +

E. ×

Problem 5. Which number is between 3,100 and 3,200?

A. 3,020

B. 3,099

C. 3,150

D. 3,250

E. 3,300

Problem 6. Order from greatest to least: 6,010; 6,100; 6,001.

A. 6,001; 6,010; 6,100

B. 6,100; 6,010; 6,001

C. 6,010; 6,100; 6,001

D. 6,100; 6,001; 6,010

E. 6,010; 6,001; 6,100

Problem 7. Which statement is true?

A. 2,456 > 2,546

B. 8,008 < 8,080

C. 9,900 < 9,090

D. 1,111 = 1,101

E. 7,070 > 7,700

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Answer Key

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