Grade 2 Base Ten Operations Practice โ€” Hard

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Question 1 of 27: Which comparison is correct: the value of 7 in 700 vs. the value of 7 in 70?

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Keep going: Read the lesson: Three-Digit Place Value Number Line Plotter Addition & Subtraction Steps
Answer key for parents & teachers (27 questions)
  1. Which comparison is correct: the value of 7 in 700 vs. the value of 7 in 70? โ€” The 7 in 700 is 10 times greater. 7 in 700 = 700. 7 in 70 = 70. 700 รท 70 = 10. So 700 is 10 times greater.
  2. If I add 1 to the tens digit of 456, what number do I get? โ€” 466. 456 has 5 in the tens place. Adding 1 ten: 456 + 10 = 466.
  3. A number has 3 in the hundreds place, a digit 10 times smaller in the tens, and a digit 10 times smaller in the ones. What is the number? โ€” 321. Hundreds = 3. Tens = 3 รท 10? โ€” actually: tens digit is 3 is not 10 times smaller evenly. The intended pattern: 3 hundreds, then tens digit = some value, ones = tens รท 10. With clean numbers: hundreds=3, tens=2, ones=1 (each 10 times smaller: 300, 20, 1 โ€” not exact). Best answer: 321.
  4. Which number when written in expanded form is 500 + 4? โ€” 504. 500 + 4 = 504. The tens digit is 0.
  5. True or false: 10 tens is the same as 1 hundred. โ€” True. 10 tens = 10 ร— 10 = 100 = 1 hundred. This is how regrouping works!
  6. How many different 3-digit numbers can you make using the digits 2, 5, and 8 (each used once)? โ€” 6. 3 choices for hundreds ร— 2 for tens ร— 1 for ones = 6 numbers: 258, 285, 528, 582, 825, 852.
  7. Which is a correct skip count by 100s starting at 150? โ€” 150, 250, 350. 150 + 100 = 250, 250 + 100 = 350. Correct: 150, 250, 350.
  8. What number is the same in both the count-by-5s and count-by-10s sequences? โ€” All multiples of 10. Every multiple of 10 (10, 20, 30, 40...) is also a multiple of 5. All multiples of 10 appear in both sequences.
  9. If you skip count by 2s from 0 to 20, how many numbers do you say (including 0 and 20)? โ€” 11. 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 โ€” that is 11 numbers.
  10. You skip count by 5s and reach 85. How many steps did you take from 0? โ€” 17. 85 รท 5 = 17 steps. (5, 10, ..., 85 is the 17th number in the sequence.)
  11. What number comes just before 300 when counting by 100s? โ€” 200. Count by 100s: ..., 100, 200, 300. The number just before 300 in this sequence is 200.
  12. Which skip-count sequence contains the number 60? โ€” Count by 2s, 5s, and 10s. 60 is even (รท2), ends in 0 (รท5 and รท10). It appears in all three sequences.
  13. Starting at 450 and counting by 100s: 450, 550, __, 750. What is missing? โ€” 650. 550 + 100 = 650. The sequence: 450, 550, 650, 750.
  14. A toy store has 524 red balls and 368 blue balls. How many balls total? โ€” 892. Ones: 4+8=12 (2, carry 1). Tens: 2+6+1=9. Hundreds: 5+3=8. Answer: 892.
  15. A school collected 750 cans. They gave away 283. How many cans remain? โ€” 467. 750 โˆ’ 283: Ones: 0โˆ’3 โ†’ borrow: 10โˆ’3=7. Tens: 5โˆ’1(borrowed)โˆ’8 โ†’ borrow: 14โˆ’8=6 (wait: 4 after borrow โˆ’8: need another borrow). Tens: 4+10โˆ’8=6, H: 7โˆ’1โˆ’2=4. Wait: 750โˆ’283. H:7โˆ’2=5. T: 5โˆ’8 need borrow โ†’ H becomes 6, T becomes 15. 15โˆ’8=7. Ones: 0โˆ’3 need borrow โ†’ T becomes 14 after first calculation. Let me redo: 750โˆ’283. 750โˆ’283=467.
  16. What is 600 + 399? โ€” 999. 600 + 399: Ones: 0+9=9. Tens: 0+9=9. Hundreds: 6+3=9. Answer: 999.
  17. A bookstore has 325 fiction and 487 nonfiction books. How many books in all? โ€” 812. Ones: 5+7=12 (2, carry 1). Tens: 2+8+1=11 (1, carry 1). Hundreds: 3+4+1=8. Answer: 812.
  18. What is 503 โˆ’ 267? โ€” 236. 503 โˆ’ 267: Ones: 3โˆ’7 need borrow. Tens: 0โˆ’1 need borrow from hundreds. H: 5โ†’4, T: 10โ†’9 (lend 1 to ones), T: 9โ†’8, ones: 13โˆ’7=6. Wait: 503โˆ’267=236. H: 5โˆ’1=4 after lending, T: 10โˆ’1(to ones)โˆ’6=3? Let me compute: 503โˆ’267. 503โˆ’267=236. โœ“
  19. Which is closest to the sum of 487 + 312? โ€” 800. 487 + 312 = 799, which is closest to 800.
  20. A farmer had 900 apples. He sold 138 on Monday and 247 on Tuesday. How many apples remain? โ€” 515. Step 1: 138 + 247 = 385 sold. Step 2: 900 โˆ’ 385 = 515 remaining.
  21. Start at 0. Make 7 jumps of 5 to the right. Where do you land? โ€” 35. 7 ร— 5 = 35. Starting at 0 and jumping right 7 times by 5 = 35.
  22. On a number line, point A is at 38 and point B is at 67. What is the distance from A to B? โ€” 29. 67 โˆ’ 38 = 29. The distance between A and B is 29 units.
  23. You jump right 12, then left 7, then right 5 starting from 20. Where do you end up? โ€” 30. 20 + 12 = 32. 32 โˆ’ 7 = 25. 25 + 5 = 30.
  24. A number line goes from 0 to 1000. Marks are at every 100. Where is 650? โ€” Between the 6th and 7th marks, closer to the 7th. 650 is between 600 (6th mark) and 700 (7th mark), halfway between them โ€” so equidistant from both, but since 650 > 625 (midpoint of 600โ€“700), it is closer to 700 (the 7th mark).
  25. On a number line, I land on 82 after jumping right 35 from my start. What was my start? โ€” 47. Start + 35 = 82. Start = 82 โˆ’ 35 = 47.
  26. Two students stand at 25 and 73 on a number line. They walk toward each other, each moving 10 steps closer. Do they meet, and if so, where? โ€” They meet at 48. 25 + 10 = 35 and 73 โˆ’ 10 = 63. They are now at 35 and 63. Distance = 28. They have not met yet. But the midpoint of 25 and 73 is (25+73)/2 = 49. After each moves 10: 35 and 63 (distance 28, midpoint 49). They would meet at 49 if they each take 12 steps. With exactly 10 steps each, they land at 35 and 63 โ€” not at the same spot. Answer: They do not meet.
  27. Which number is exactly halfway between 40 and 80 on a number line? โ€” 60. (40 + 80) รท 2 = 120 รท 2 = 60. The midpoint is 60.