Multi Digit Operations Assessment
Operations & Place Value Math Assessment
Score: / 18
Multi-Digit Place Value Quest
Add and subtract using place value strategies, expanded form, and written methods with regrouping.
Name:
Date:
Place Value Reminders:
Align matching place values
Compose 10 of any unit into 1 larger unit
Decompose 1 larger unit into 10 smaller units
1 3-Digit Addition: Composing a Ten
3 Points
Find the sum of \(347 + 238\). Use a place value strategy (such as expanded form or partial sums) to add hundreds, tens, and ones. Then solve using the written vertical method.
a. Place Value Strategy (Expanded Form or Partial Sums):
b. Written Vertical Method:
H T O
3 4 7
Sum:
2 3-Digit Subtraction: Decomposing a Ten
3 Points
Find the difference of \(562 - 237\). Show a place value strategy (such as decomposing by place value or an open number line) to show decomposing \(1\) ten into \(10\) ones. Then solve using the written vertical method.
a. Place Value Strategy (Decomposition or Number Line):
b. Written Vertical Method:
H T O
5 6 2
− 2 3 7
Difference:
Operations & Algebraic Thinking • Within 1,000 Page 1 of 3 →
Page 2
Multi-Digit Place Value Quest
Name:
3 3-Digit Addition Strategy: Composing a Hundred
3 Points
Solve \(485 + 263\). Show how you add hundreds and hundreds, tens and tens, and ones and ones.
a. Add using expanded form:
485 = + +
263 = + +
Total = + +
b. Written Vertical Method:
H T O
4 8 5
Total Sum:
c. Explain your thinking: When you add \(8 \text{ tens} + 6 \text{ tens}\), how many hundreds and tens do you have?
4 3-Digit Word Problem: Decomposing across Values
3 Points
The school library had \(624\) books on Monday. By Friday, students checked out \(281\) books. How many books were still left in the library?
a. Place Value Strategy (Show your work):
b. Written Vertical Method:
H T O
6 2 4
− 2 8 1
Books Left:
c. Write your answer in a complete sentence:
Operations & Algebraic Thinking • Within 1,000 Page 2 of 3 →
Page 3 • Within 100,000
Multi-Digit Place Value Quest
Name:
5 Addition within 100,000 with Multi-Step Regrouping
3 Points
Find the sum of \(58,479 + 26,854\). Align the digits by place value. Record your regrouping above each column, then verify your answer using estimation.
a. Round to nearest thousand to estimate:
\(58,479 \approx\)
\(26,854 \approx\)
Estimated Sum \(\approx\)
Exact Sum:
b. Written Vertical Method:
TTh Th H T O
5 8 4 7 9
Remember to regroup 10 ones into 1 ten, 10 tens into 1 hundred, etc.
6 Subtraction within 100,000: Multi-Step Regrouping
3 Points
The state science center welcomed \(71,425\) visitors this year. Last year, it welcomed \(48,678\) visitors. How many more visitors attended the science center this year?
a. Written Vertical Subtraction:
TTh Th H T O
7 1 4 2 5
− 4 8 6 7 8
b. Check your work using addition:
Difference + Subtrahend (\(48,678\)) = Minuend (\(71,425\))
c. Write your final answer in a complete sentence:
Operations & Place Value • Extended Practice within 100,000 Page 3 of 3 • End of Assessment
Million Algorithm Fluency Assessment
Grade 4 • 4.NBT.B.4 Standard Algorithm Fluency
Score: / 16
Million Algorithm Fluency Assessment
Add and subtract multi-digit numbers within 1,000,000 using the standard algorithm.
Name:
Date:
Checklist:
• Align digits by place value • Record all regroupings above columns • Verify answers with estimation/checking
1 6-Digit Addition with Multi-Step Regrouping
4 Points
Find the sum of \(487,629 + 356,845\) using the standard algorithm. Record all regrouped values above the correct columns.
a. Round to nearest hundred-thousand to estimate:
\(487,629 \approx\)
\(356,845 \approx\)
Estimated Sum \(\approx\)
Exact Sum:
b. Standard Vertical Algorithm (Large Work Space):
HTh TTh Th H T O
4 8 7 6 2 9
2 6-Digit Subtraction with Multi-Step Regrouping
4 Points
Find the difference of \(624,318 - 287,549\) using the standard algorithm. Check your work using the inverse operation (addition).
a. Standard Vertical Subtraction (Large Work Space):
HTh TTh Th H T O
6 2 4 3 1 8
− 2 8 7 5 4 9
Exact Difference:
b. Check with Addition:
Difference + Subtrahend = Minuend
Sum must equal \(624,318\)
Grade 4 • Number & Operations in Base Ten Page 1 of 2 →
Page 2
Million Algorithm Fluency Assessment
Name:
3 Fluency Challenge: Decomposing Across Zeros
4 Points
Subtract \(500,000 - 163,482\) using the standard algorithm. Carefully record your regrouping steps as you decompose across multiple zero digits.
a. Vertical Algorithm with Large Work Space:
HTh TTh Th H T O
5 0 0 0 0 0
− 1 6 3 4 8 2
Final Difference:
b. Explain Decomposing Across Zeros:
Explain how you regroup from the hundred-thousands place across the zeros:
Check Tip: \( \text{Difference} + 163,482 = 500,000 \)
4 Multi-Step Real-World Application within 1,000,000
4 Points
Metro Regional Airport set an annual goal of serving \(950,000\) passengers. It served \(342,850\) in the first half of the year, and \(284,675\) in the third quarter. How many more passengers must the airport serve to reach its annual goal?
Step 1: Add Quarters 1 & 2 (\(342,850 + 284,675\)):
3 4 2 8 5 0
Subtotal:
Step 2: Subtract from Goal (\(950,000 - \text{Subtotal}\)):
9 5 0 0 0 0
−
Passengers Needed:
Final Answer (Write in a complete sentence with units):
Standard 4.NBT.B.4 • Fluently Add and Subtract within 1,000,000 Page 2 of 2 • End of Assessment
