Add and Subtract Within 1000

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3rd Grade Math › Add and Subtract Within 1000

Questions 1 - 10
1

Read the problem. Emma collected 347 cans in October and 286 cans in November. How many cans in all?​

523 cans

61 cans

633 cans

632 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 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 C represents the error of using subtraction instead of addition, calculating 347-286=61. This happens when students confuse the operation required by the word problem. 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.

2

Read the problem. Yuki counted 294 birds on Saturday and 378 birds on Sunday. What is the total number of birds?

562 birds

682 birds

671 birds

672 birds

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 counted 294 birds on Saturday and 378 on Sunday, asking for the total birds. This requires addition with regrouping in ones and tens places. Choice A is correct because 294+378=672. This demonstrates proper place value alignment, regrouping when needed. Choice B represents the error of not carrying properly in the tens place, leading to 562. This happens when students forget to regroup or add the carry. 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.

3

Read the problem. Marcus scored 458 points in the first game and 367 points in the second game. How many points altogether?

725 points

825 points

815 points

91 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, Marcus scored 458 points in the first game and 367 in the second, asking for total points, which requires addition with regrouping in ones and tens places. Choice A is correct because 458+367=825, demonstrating proper place value alignment and regrouping when needed. Choice C represents the error of subtracting instead of adding, like 458-367=91, which happens when students confuse operations. 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.

4

Read the problem. Carlos had 700 trading cards. He gave 458 cards to his cousin. How many cards are left?

252 cards

1,158 cards

242 cards

342 cards

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 700 trading cards and gave 458 to his cousin, asking how many are left. This requires subtraction with borrowing across zero in tens and ones places. Choice A is correct because 700-458=242. This demonstrates proper place value alignment, borrowing correctly across zero. Choice C represents the error of using addition instead of subtraction, calculating 700+458=1,158. This happens when students misread 'left' as total. 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.

5

Read the problem. Jamal earned 458 points on Monday and 279 points on Tuesday. How many points altogether?

179 points

727 points

637 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.

6

Read the problem. Carlos had 268 stickers. He got 157 more and gave away 94. How many stickers does he have now?

425 stickers

321 stickers

331 stickers

519 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.

7

Read the problem. Maya had 458 stickers. She got 276 more stickers and gave away 139 stickers. How many stickers does she have now?

605 stickers

734 stickers

595 stickers

585 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, Maya had 458 stickers, got 276 more, and gave away 139, asking how many she has now. This requires multi-step operations: addition with regrouping followed by subtraction with borrowing. Choice A is correct because 458+276=734, then 734-139=595. This demonstrates proper place value alignment, regrouping when needed, borrowing correctly, multi-step execution. Choice B represents the error of forgetting to subtract or misordering operations, leaving the sum as 734. This happens when students confuse multi-step sequences. 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.

8

Read the problem. Maya walked 784 steps in PE. Marcus walked 659 steps. How many more steps does Maya have than Marcus?

25 steps

1,443 steps

125 steps

135 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.

9

Read the problem. The library had 500 books. 237 books were checked out. How many books are left?

267 books

263 books

337 books

373 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.

10

Read the problem. Sofia needs 650 points to earn a prize. She already has 385 points. How many more points are needed?

275 points

265 points

1,035 points

365 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, Sofia needs 650 points and has 385, asking how many more are needed, which requires subtraction with borrowing in tens and ones places. Choice A is correct because 650-385=265, demonstrating proper borrowing and place value alignment. Choice B represents the error of using addition instead of subtraction, like 650+385=1035, which happens when students confuse operations. 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.

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