These place value worksheets grade 3 teachers can reprint cover expanded form to 9,999, comparing 4-digit numbers, 100 and 1,000 more and less, and rounding to the nearest 10 and 100. Each reprint has new numbers.
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What grade 3 place value covers
The Common Core gives grade 3 one new place value job: round whole numbers to the nearest 10 or 100. It adds and subtracts within 1,000, multiplies by whole tens from 10 to 90, and names no larger range. Texas takes grade 3 to 100,000 and rounds on a number line. The 4-digit sheets sit between the two.
From 4-digit place value to rounding
Start with Expanded form to 9,999: a pupil who can split 4,308 into 4,000 + 300 + 8 can see which digit decides. Print Between which two tens? Find the closer ten before Round 3-digit numbers to the nearest 10, then do the same for hundreds.
A pupil who rounds 349 to 400 looked at the 9. Have them circle the tens digit first.
Zero can be the answer: 38 to the nearest 100 is 0. Say so before the sheet goes out.
In 4,308 the 0 holds the tens place. A pupil who writes 4,000 + 300 + 80 has dropped it.
Questions and answers
How do you round to the nearest 10 and 100?
Find the two tens or hundreds the number sits between and pick the closer one: 467 is between 460 and 470, closer to 470. A halfway number such as 465 goes up. That is the commonly taught rule; the Common Core and Texas state none.
Is rounding part of place value in 3rd grade?
Yes. The Common Core asks grade 3 to use place value understanding to round, and lists it with the base ten standards. The groups here round to the nearest 10, 100 and 1,000, the last for Texas number lines, and one rounds to estimate.
What is place value in grade 3 math?
What a digit is worth depends on where it sits: in 5,555 the first 5 is worth 5,000 and the last is worth 5. Third graders, usually 8 to 9 years old (Year 4 in England and Wales), use that to compare, order and round.
All 30 sheet types
Expanded form to 9,999 4
Expanded form back to a 4-digit number3,000 + 200 + 20 + 7 = 3,227 and 9,000 + 800 + 1 = 9,801. In the second half of the sheet some lines give the parts out of order, such as 70 + 5,000 + 6 + 400 = 5,476, so pupils must read the size of each part and not its position.
Expanded form to 9,9996,482 = 6,000 + 400 + 80 + 2: one part for each digit. Every number on this sheet has 4 digits and no zero, so there are always 4 parts. Texas names expanded notation in grade 3. The Common Core names expanded form in grade 2 and again in grade 4.
Expanded form with zeros: 4,308 and 7,0204,308 = 4,000 + 300 + 8 and 7,020 = 7,000 + 20. A place that holds zero has no part, so these numbers have 2 or 3 parts and not 4. A pupil who writes 4,000 + 300 + 80 has moved the 8 into the empty tens place.
Find the missing part of a 4-digit numberA line shows 5,000, a gap, 30 and 9, and the total 5,639. The gap is 600, since 5,000 + 600 + 30 + 9 = 5,639. One part or the whole number is blank on each line. The answer is the value 600, not the digit 6.
Show all 30 sheet types (26 more)
Compare and order 4-digit numbers 4
Compare 4-digit numbers when one is in expanded form5,812 < 5,000 + 800 + 20 + 1, because the parts build 5,821. One side of each pair is written in expanded form, and pupils build it before they compare. The key shows the built number beside each answer.
Compare 4-digit numbers with <, > and =3,618 < 3,816 and 2,717 < 7,217. The pairs are look-alikes, with two digits swapped or one digit changed, and about 1 pair in 10 is equal. Pupils compare from the left: thousands first, then hundreds, then tens, then ones.
Compare when the thousands match7,856 > 7,556, because both numbers have 7 thousands and 8 hundreds beat 5 hundreds. Every pair here shares its thousands digit and differs at the hundreds, so the tens and ones never decide, however large they are: 9,115 < 9,801.
Order four numbers to 9,9993,119 < 3,159 < 3,519 < 9,153. Each set holds four look-alike numbers, and the signs on the line show the direction. Half the sets run from least to greatest and half from greatest to least, such as 8,371 > 8,321 > 8,312 > 8,123.
10, 100 and 1,000 more and less 6
10 more and 10 less when the hundreds digit changes4,307 − 10 = 4,297 and 8,891 + 10 = 8,901. Every problem here crosses a hundred, so the tens digit is not the only one that changes. The sign is part of the problem: some lines add 10 and some take 10 away.
10, 100 and 1,000 more and less tableOne row for 6,592: 6,592 − 1,000 = 5,592, 6,592 − 100 = 6,492 and 6,592 − 10 = 6,582, then 6,592 + 10 = 6,602, 6,592 + 100 = 6,692 and 6,592 + 1,000 = 7,592. Six gaps around one number make pupils change one place at a time.
100 more and 100 less to 9,9993,609 + 100 = 3,709 and 7,800 − 100 = 7,700: only the hundreds digit changes. When the hundreds digit is 9 or 0 the thousands change as well, as in 3,950 + 100 = 4,050 and 6,020 − 100 = 5,920.
1,000 more and 1,000 less to 9,9993,345 + 1,000 = 4,345 and 7,112 − 1,000 = 6,112. Only the thousands digit moves, and the other three digits stay put. A number below 2,000 loses its thousands digit: 1,577 − 1,000 = 577.
Count by 100s from any 4-digit number2,919; 3,019; 3,119; 3,219; 3,319; 3,419 counts on by 100s across 3,000. Rows start anywhere, show 2 numbers and leave 4 gaps. Half the rows count back, such as 7,338; 7,238; 7,138; 7,038; 6,938; 6,838.
Find the counting rule: 10, 100 or 1,0003,919; 4,019; 4,119; 4,219 counts on by 100, so the next 2 numbers are 4,319 and 4,419. Each row shows 4 numbers. Pupils write the rule first, by finding which digit changes, and then carry the row on.
Round to the nearest 10 3
Between which two tens? Find the closer ten70 < 72 < 80, and 72 is closer to 70. Pupils write the ten just below and the ten just above, then circle the closer one. No number here ends in 0 or 5, so one ten is always closer.
Round 2-digit numbers to the nearest 1033 → 30 and 27 → 30: each is 3 away from 30 and 7 away from the other ten. A number ending in 5 is halfway and goes up, so 45 → 50. With 20 rows, 3 of the numbers are halfway numbers, and 95 to 99 round to 100.
Round 3-digit numbers to the nearest 10362 → 360 and 847 → 850. Only the ones digit decides: when it is 5 or more the tens go up, as in 365 → 370. The hundreds digit changes only when the tens roll over, as in 398 → 400.
Round to the nearest 100 and 1,000 7
Between which two hundreds? Find the closer hundred700 < 714 < 800, and 714 is closer to 700. With a 4-digit number the hundreds are 9,700 < 9,771 < 9,800, and 9,771 is closer to 9,800. No number is a whole hundred or ends in 50, so one hundred is always closer.
Between which two thousands? 4-digit numbers7,000 < 7,291 < 8,000, and 7,291 is closer to 7,000. Pupils write the thousand below and the thousand above, then circle the closer one. The halfway number here is 7,500, and no number on the sheet is a halfway number.
Round 3-digit numbers to the nearest 100323 → 300 and 272 → 300: the tens digit decides and the ones digit does not. 250 is halfway and goes up to 300, and 950 to 999 round to 1,000. A pupil who rounds 349 to 400 looked at the 9.
Round 4-digit numbers to the nearest 1003,228 → 3,200 and 2,293 → 2,300. The tens digit decides, and the answer ends in two zeros. The thousands digit changes only when the hundreds roll over, as in 3,960 → 4,000, and 9,950 and above round to 10,000.
Round 4-digit numbers to the nearest 1,0003,228 → 3,000 and 2,717 → 3,000: the hundreds digit decides. 8,500 is halfway and goes up to 9,000, and 9,500 and above round to 10,000. The Common Core leaves this place to grade 4. Texas grade 3 meets thousands on a number line.
Round numbers below 100 to the nearest 10076 → 100 and 16 → 0. A number below 100 sits between 0 and 100, so 50 and above round to 100 and 49 and below round to 0. Zero is a correct answer here, which is worth saying before pupils start.
Round one number to the nearest 10 and the nearest 100757 → 760 to the nearest 10 and 757 → 800 to the nearest 100. Both answers start from 757. Rounding 760 on to 800 happens to agree here, but it fails for 347, which is 350 to the nearest 10 and 300 to the nearest 100.
Numbers to 100,000 3
Compare 5-digit numbers to 100,00036,185 < 36,815 and 27,171 > 17,271. The pairs are look-alikes with two digits swapped or one digit changed, so pupils must start at the ten thousands and move right. About 1 pair in 10 is equal.
Expanded form of 5-digit numbers to 100,00024,035 = 20,000 + 4,000 + 30 + 5 and 98,015 = 90,000 + 8,000 + 10 + 5. Texas takes grade 3 numbers to 100,000, with expanded notation. Half the lines give the number and half give the parts.
Order four numbers to 100,00019,038 < 39,018 < 39,081 < 39,108. Four look-alike 5-digit numbers go in the order the signs show, least to greatest or greatest to least. Texas grade 3 compares and orders whole numbers up to 100,000.
Round to estimate a sum or a difference 3
Round to estimate a difference within 1,000582 − 237 = 345. To the nearest 10 the estimate is 580 − 240 = 340, which is 5 away. Rounding to tens keeps the estimate close to the answer, which is why this sheet rounds to the nearest 10 and not to the nearest 100.
Round to the nearest 10 to estimate a sum within 100For 29 + 54 the estimate is 30 + 50 = 80 and the exact sum is 29 + 54 = 83. Each box has a line for the estimate and a line for the exact answer, so the estimate checks the answer. No sum on the sheet passes 100.
Round to the nearest 100 to estimate a sum within 1,000318 + 476 = 794, and the estimate is 300 + 500 = 800. An exact answer far from 800, such as 694, points to a slip in the hundreds. No number on the sheet is a whole hundred or ends in 50.
How this list was compiled: Sheet types, wording and worked examples are own work, written 2026-09-19, and every worked example was computed twice. Every sheet offered on this page was printed on 2026-09-20 and read against its description. Number sizes and standard numbers were read on 2026-09-19, and again on 2026-09-20, in the full text of the Common Core State Standards for Mathematics (https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf : 3.NBT.1 rounds whole numbers to the nearest 10 or 100, 3.NBT.2 adds and subtracts within 1000, 3.OA.8 checks answers by estimation, rounding included; expanded form is named in 2.NBT.3 and 4.NBT.2 and not in grade 3; 4.NBT.3 rounds to any place) and of the Texas Essential Knowledge and Skills, 19 TAC chapter 111 (https://tea.texas.gov/sites/default/files/ch111a.pdf : 3.2(A) numbers up to 100,000 with expanded notation, 3.2(C) a number between two consecutive multiples of 10, 100, 1,000 or 10,000 on a number line in order to round, 3.2(D) compare and order up to 100,000, 3.4(B) round to the nearest 10 or 100 to estimate). Rounding ties and rounding in two steps: https://en.wikipedia.org/wiki/Rounding , read 2026-09-19 and, for the tie rule, again on 2026-09-20. Rounding a half away from zero, which for whole numbers above zero means a half goes up, is described there as commonly taught, and rounding twice may not give the answer that rounding once gives. Neither standards text states a tie rule. The standards are used as a checklist of number sizes and skills only. Licence: own work