Add and Subtract Within 1000
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3rd Grade Math › Add and Subtract Within 1000
Read the problem. Carlos had 268 stickers. He got 157 more and gave away 94. How many stickers does he have now?
331 stickers
519 stickers
321 stickers
425 stickers
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Carlos had 268 stickers, got 157 more, and gave away 94, asking how many now. This requires multi-step operations: addition then subtraction with regrouping. Choice B is correct because (268 + 157) - 94 = 331. This demonstrates proper place value alignment, regrouping when needed, multi-step execution. Choice A represents the error of adding all without subtracting, resulting in 425. This happens when students forget the subtraction step. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Emma collected 347 cans in October and 286 cans in November. How many cans in all?
523 cans
634 cans
61 cans
633 cans
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Emma collected 347 cans in October and 286 in November, asking for the total number of cans. This requires addition with regrouping in the ones and tens places. Choice B is correct because 347 + 286 = 633. This demonstrates proper place value alignment, regrouping when needed. Choice A represents the error of not regrouping properly in the tens place, resulting in 523. This happens when students add the digits without carrying over the tens. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Maya walked 784 steps in PE. Marcus walked 659 steps. How many more steps does Maya have than Marcus?
125 steps
1,443 steps
135 steps
25 steps
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: $347 + 286$: Start with ones ($7 + 6 = 13$, write 3 carry 1), then tens ($4 + 8 + 1 = 13$, write 3 carry 1), then hundreds ($3 + 2 + 1 = 6$), answer 633. For subtraction across zero like $500 - 237$: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then $10 - 7 = 3$, $9 - 3 = 6$ (after borrowing 1 from tens to make 10 ones), $4 - 2 = 2$, answer 263. In this problem, Maya walked 784 steps and Marcus 659, asking how many more Maya has. This requires subtraction with borrowing in the ones place. Choice A is correct because $784 - 659 = 125$. This demonstrates proper borrowing correctly. Choice B represents the error of not borrowing in the ones place, resulting in 135. This happens when students subtract without adjusting for borrowing. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form ($347 = 300 + 40 + 7$). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation ($347 + 286$ is about $350 + 300 = 650$, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. The school library had 500 books. 237 books were checked out. How many books are left?
737 books
263 books
337 books
273 books
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, the school library had 500 books and 237 were checked out, asking how many are left. This requires subtraction with borrowing across zero in the tens and ones places. Choice A is correct because 500 - 237 = 263. This demonstrates proper borrowing correctly across zero. Choice B represents the error of subtracting smaller from larger in each place without borrowing, resulting in 337. This happens when students don't borrow properly. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Yuki needs 650 tickets for a prize. She already has 385 tickets. How many more tickets are needed?
235 tickets
265 tickets
1,035 tickets
275 tickets
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Yuki needs 650 tickets and has 385, asking how many more are needed. This requires subtraction with borrowing in the tens and ones places. Choice B is correct because 650 - 385 = 265. This demonstrates proper borrowing correctly. Choice A represents the error of borrowing incorrectly across places, resulting in 275. This happens when students misadjust after borrowing. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. A community center packed 642 meals. They gave 387 meals to families. How many meals remain?
265 meals
355 meals
1,029 meals
255 meals
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, a community center packed 642 meals and gave away 387, asking how many remain. This requires subtraction with borrowing in the ones and tens places. Choice B is correct because 642 - 387 = 255. This demonstrates proper borrowing correctly. Choice A represents the error of borrowing incorrectly in the tens place, resulting in 355. This happens when students forget to adjust after borrowing. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Jamal earned 458 points on Monday and 279 points on Tuesday. How many points altogether?
637 points
179 points
727 points
737 points
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Jamal earned 458 points on Monday and 279 on Tuesday, asking for the total points. This requires addition with regrouping in the ones, tens, and hundreds places. Choice B is correct because 458 + 279 = 737. This demonstrates proper place value alignment, regrouping when needed. Choice C represents the error of subtracting instead of adding, resulting in 179. This happens when students confuse the operations in word problems. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Sofia read 185 pages Monday, 236 pages Tuesday, and 147 pages Wednesday. What is the total number of pages?
468 pages
568 pages
421 pages
578 pages
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Sofia read 185 pages Monday, 236 Tuesday, and 147 Wednesday, asking for the total pages. This requires addition of three numbers with regrouping in multiple places. Choice A is correct because 185 + 236 + 147 = 568. This demonstrates proper place value alignment, regrouping when needed, multi-step execution. Choice B represents the error of adding only two numbers (185 + 236 = 421) and forgetting the third. This happens when students overlook multi-step additions. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. The library had 500 books. 237 books were checked out. How many books are left?
263 books
373 books
267 books
337 books
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, the library had 500 books and 237 were checked out, asking how many are left. This requires subtraction with borrowing across zero in tens and ones places. Choice B is correct because 500-237=263. This demonstrates proper place value alignment, borrowing correctly. Choice A represents the error of not borrowing across zero properly, such as treating 500 as is without regrouping leading to incorrect 373. This happens when students forget to regroup or misunderstand borrowing across zero. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Read the problem. Amir needs 650 tickets for a prize. He already has 385 tickets. How many more tickets are needed?
1,035 tickets
365 tickets
265 tickets
275 tickets
Explanation
This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Amir needs 650 tickets and has 385, asking how many more are needed. This requires subtraction with borrowing across hundreds and tens places. Choice B is correct because 650-385=265. This demonstrates proper place value alignment, borrowing correctly. Choice D represents the error of using addition instead of subtraction, calculating 650+385=1,035. This happens when students misread the problem and add instead. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.