Addition: Grade 4 Math Questions with Step-by-Step Solutions

This page is designed to help students, parents, and teachers master the topic of addition through carefully selected practice questions and step-by-step solutions with explanations. Each solution provides the reasoning behind every step, helping learners build a strong foundation in arithmetic and basic problem-solving.

The questions on this page cover essential topics related to addition, including:

Questions and Solutions

  1. Calculate the sum: \[345 + 289 = ?\]
    1. \(524\)
    2. \(624\)
    3. \(634\)
    4. \(534\)
    View Step-by-Step Solution

    Problem: \(345 + 289\)

    Explanation: Align the numbers by place value and add column by column from right to left:

    • Ones column: \(5 + 9 = 14\) (write down 4, carry over 1)
    • Tens column: \(4 + 8 + 1 = 13\) (write down 3, carry over 1)
    • Hundreds column: \(3 + 2 + 1 = 6\)

    The total sum is \(634\). Therefore, the correct option is C.

  2. Mental Math / Large Numbers: If you add 1000 to 29,898, you obtain:
    1. \(39,898\)
    2. \(30,898\)
    3. \(29,998\)
    4. \(29,908\)
    View Step-by-Step Solution

    Problem: Add 1000 to \(29,898\)

    Explanation: Increase the thousands place digit by 1. Moving from 29,898 up by 1,000 changes the thousands digit from 9 to 10 (carrying over to the ten-thousands place), resulting in \(30,898\). Therefore, the correct option is B.

  3. Comparing Sums: Which two numbers add up to a sum greater than 1000?
    1. \(450 \text{ and } 545\)
    2. \(999 \text{ and } 1\)
    3. \(893 \text{ and } 100\)
    4. \(989 \text{ and } 12\)
    View Step-by-Step Solution

    Problem: Find which pair adds up to a sum greater than 1000.

    Explanation: Let's check each option:

    • \(450 + 545 = 995\) (not greater than 1000)
    • \(999 + 1 = 1000\) (equal to 1000, not strictly greater)
    • \(893 + 100 = 993\) (not greater than 1000)
    • \(989 + 12 = 1001\) (greater than 1000)

    Therefore, the correct option is D.

  4. Multiple Addends: Calculate the sum: \[123 + 345 + 723 = ?\]
    1. \(1,191\)
    2. \(468\)
    3. \(1,181\)
    4. \(1,068\)
    View Step-by-Step Solution

    Problem: \(123 + 345 + 723\)

    Explanation: Add the numbers together:

    • \(123 + 345 = 468\)
    • \(468 + 723 = 1191\)

    The total sum is \(1,191\). Therefore, the correct option is A.

  5. Addition Property: If \(15 + 20 = 20 + n\), what is the value of \(n\)?
    1. \(20\)
    2. \(15\)
    3. \(35\)
    4. \(0\)
    View Step-by-Step Solution

    Problem: If \(15 + 20 = 20 + n\), find \(n\).

    Explanation: This equation demonstrates the commutative property of addition, which states that changing the order of addends does not change the sum. For both sides to be equal, \(n\) must be equal to \(15\). Therefore, the correct option is B.

  6. Basic Algebra: If \(z + y = 20\) and \(y = 5\), what is the value of \(z\)?
    1. \(25\)
    2. \(15\)
    3. \(5\)
    4. \(10\)
    View Step-by-Step Solution

    Problem: If \(z + y = 20\) and \(y = 5\), find \(z\).

    Explanation: Substitute 5 for \(y\) in the equation:

    \(z + 5 = 20\)

    Subtract 5 from both sides: \(z = 20 - 5 = 15\). Therefore, the correct option is B.

  7. Word Problem (Stadium Seats): There are 15,768 people watching a game in a football stadium and there are 34,890 empty seats. What is the total number of seats in the stadium?
    1. \(50,658\)
    2. \(49,558\)
    3. \(40,658\)
    4. \(50,558\)
    View Step-by-Step Solution

    Problem: Total seats in a stadium with 15,768 people and 34,890 empty seats.

    Explanation: The total number of seats is the sum of occupied seats and empty seats:

    \(15,768 + 34,890 = 50,658\)

    Therefore, the correct option is A.

  8. Equation Setup: The sum of \(z\) and \(y\) is equal to 125. If \(y = 45\), which equation can be used to find \(z\)?
    1. \(z - y = 125\)
    2. \(z + y = 45\)
    3. \(z - 45 = 125\)
    4. \(z + 45 = 125\)
    View Step-by-Step Solution

    Problem: The sum of \(z\) and \(y\) is 125. If \(y = 45\), find the equation for \(z\).

    Explanation: Since \(z + y = 125\) and \(y = 45\), substituting \(45\) for \(y\) gives the equation:

    \(z + 45 = 125\)

    Therefore, the correct option is D.

  9. Word Problem (School Expenses): A school spent \(\$14,589\) on computers, \(\$1,234\) on tables, and \(\$876\) on chairs. How much money did the school spend in total?
    1. \(\$15,589\)
    2. \(\$16,699\)
    3. \(\$16,599\)
    4. \(\$16,589\)
    View Step-by-Step Solution

    Problem: School expenses: \(\$14,589\) (computers) + \(\$1,234\) (tables) + \(\$876\) (chairs).

    Explanation: Add the three amounts together:

    • \(14,589 + 1,234 = 15,823\)
    • \(15,823 + 876 = 16,699\)

    The total spent is \(\$16,699\). Therefore, the correct option is B.

  10. Word Problem (Large Numbers): Linda wrote a number that is two hundred sixty-five thousand, one hundred eight greater than thirty-two thousand, two hundred twenty-nine. What number did she write?
    1. \(297,000\)
    2. \(297,300\)
    3. \(297,327\)
    4. \(297,337\)
    View Step-by-Step Solution

    Problem: Two hundred sixty-five thousand, one hundred eight greater than thirty-two thousand, two hundred twenty-nine.

    Explanation: Translate the words into numbers and add them:

    • \(265,108\)
    • \(32,229\)

    \(265,108 + 32,229 = 297,337\)

    Therefore, the correct option is D.

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