4th Grade Rounding Whole Numbers Test Answer Key and Scoring Guide (PDF)

4th grade rounding test answer key – Maths PDF

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This 4th grade rounding test answer key covers rounding whole numbers (Common Core 4.NBT.A.3), with a free PDF to print.

Key takeaway: This answer key helps fourth grade students see how each point on the rounding test was earned.

Topic: Rounding Whole Numbers (4th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 4.NBT.A.3
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students see how each point on the rounding test was earned. Also, it gives full solutions to all nine questions, with the rounding place and the deciding digit named each time.

Question 3 explains the range of numbers that round to 3,000, question 6 shows why 11,499 does not fit a rounded report of 12,000, and question 9 compares an estimate with Ethan’s sum. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, draw a number line for each correction.

Use this answer key to score the rounding test. Each solution shows the rounding place and the steps, and the scoring note tells how points are awarded. Total: 20 points.

Grade 4 · Common Core State Standards: 4.NBT.A.3

4th grade rounding test answer key: worked solutions

1 – Round to the place [2 pts]

So, the ones digit 2 is less than 5, so keep the 7: \(470\).
The tens digit 4 is less than 5, so keep the 8 hundreds: \(6,800\).
Also, the hundreds digit 0 is less than 5, so keep the 3 thousands: \(53,000\).
Also, the ten thousands digit 8 is 5 or more, so round 2 up to 3: \(300,000\).

Scoring: half a point for each correct answer.

2 – Read the number line [2 pts]

8,746 is left of the halfway point 8,750.

The point is between 8,740 and 8,750. So, it is closer to 8,750: \(8,750\).
Between 8,700 and 8,800, the halfway point is 8,750. The point is left of 8,750, so it rounds down: \(8,700\).

Scoring: 1 point for each correct answer.

3 – Range of numbers [2 pts]

2,500 and 3,499 are the ends of the range that rounds to 3,000.

Halfway between 2,000 and 3,000 is 2,500, which rounds up to 3,000. 2,499 rounds down to 2,000.

Halfway between 3,000 and 4,000 is 3,500, which rounds up to 4,000. 3,499 rounds down to 3,000.

Smallest: \(2,500\). Greatest: \(3,499\).

Scoring: 1 point for each correct number.

Question 4 and after

4 – Estimate [2 pts]

\(6,348\) rounds to \(6,000\); \(2,719\) rounds to \(3,000\). \(6{,}000 + 3{,}000 = 9{,}000\). about \(9,000\)
\(73,462\) rounds to \(70,000\); \(28,905\) rounds to \(30,000\). \(70{,}000 – 30{,}000 = 40{,}000\). about \(40,000\)

Scoring: 1 point for each estimate. Give half a point if the numbers are rounded correctly but the final arithmetic is wrong.

5 – One number, three places [2 pts]

Ten thousand: 1 is followed by 6, so round up to \(420,000\).

Thousand: 6 is followed by 5, so round up to \(417,000\).

Hundred: 5 is followed by 7, so round up to \(416,600\).

\(420,000\); \(417,000\); \(416,600\)

Scoring: 1 point for two correct answers, 2 points for all three.

6 – Attendance [2 pts]

A number rounds to \(12,000\) from \(11,500\) up to \(12,499\).

\(11,499\) is below 11,500, so it rounds to 11,000. So, it could not be the exact attendance.

\(12,500\) is halfway and rounds up to 13,000. It could not be the exact attendance.

Scoring: 1 point for each correct answer with a reason.

7 – Concert tickets [3 pts]

\(14,628\) rounds to \(15,000\). \(9,375\) rounds to \(9,000\).
\(15{,}000 + 9{,}000 = 24{,}000\). about \(24,000\)
\(15{,}000 – 9{,}000 = 6{,}000\). about \(6,000\)

Scoring: 1 point for each part.

Question 8 and after

8 – Find the mistake [3 pts]

So, the hundreds digit is 3 and the digit to its right is 9, so round up: \(7,400\).
Sofia kept the hundreds digit. The digit to its right (9) is 5 or more, so the hundreds digit must go up by 1.
The thousands digit is 7 and the digit to its right is 3, so keep it: \(7,000\).

Scoring: 1 point for each part.

9 – Is it reasonable? [2 pts]

\(3,874\) rounds to \(4,000\). \(4,129\) rounds to \(4,000\). The estimate is \(8,000\).

\(7,003\) is far from \(8,000\), so it is not reasonable. He forgot to regroup.

Correct sum: \(3{,}874 + 4{,}129 = 8{,}003\). \(8,003\)

Scoring: 1 point for the estimate and decision. 1 point for 8,003.

Total score

Total

20 points

Key facts behind this 4th grade rounding test answer key

Key facts

To round, look at the digit to the right of the place you want.
Digits 5, 6, 7, 8, and 9 round up. Digits 0, 1, 2, 3, and 4 round down.
A number exactly halfway between two multiples rounds up: 2,500 rounds to 3,000.
Then, a 9 can carry: 9,960 rounds to 10,000 at the nearest hundred.
To estimate, round every number to the same place, then add or subtract.

Common mistakes with this 4th grade rounding test answer key

Students count the range in question 3 as one number. Instead, give both the smallest and the greatest number.
Students ignore the explanation in question 8. Instead, the explanation names the digit that decides the rounding. Slow down at that step and check it twice.
Students skip part (b) of question 4. Also, the estimate for the difference is a separate point. Slow down at that step and check it twice.
Students forget that question 1 has half point parts. Instead, check each part against the key. Slow down at that step and check it twice.

How to learn from your test

Sort lost points into choosing the place, reading the next digit, and estimating. Practice the weakest group first.
Redo question 5 with a different six digit number. Finally, a fresh number shows whether you understand the steps.
Teachers can ask students to explain one correction by pointing to the digit on a number line. Repeat this habit on every problem for the best results.

Download the 4th grade rounding test answer key as a PDF with the button below and keep it with your notes.

4th grade rounding test answer key: frequently asked questions

What are the three roundings of 416,573?

To the nearest ten thousand, 416,573 rounds to 420,000. Also, to the nearest thousand, it rounds to 417,000. To the nearest hundred, it rounds to 416,600. Each answer uses the original number, not a number already rounded.

Why is Ethan’s sum not reasonable in question 9?

Rounding 3,874 and 4,129 to the nearest thousand gives 4,000 and 4,000, so the estimate is 8,000. Ethan got 7,003, which is about 1,000 too low. The correct sum is 8,003.

How many tickets were sold in question 7 about each day?

The key rounds each day to the nearest thousand first. Then it adds the rounded numbers for the total and subtracts them for the difference. Rounded numbers make both estimates easy to do mentally.

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