All questions
Question 1
Write "six hundred twenty-one" as a number.
- 620
- 612
- 621 (correct answer)
- 601
Explanation: This question tests 2nd grade understanding of three-digit numbers and place value, including identifying the value of digits in hundreds, tens, and ones places (CCSS 2.NBT.A.1: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones). In a three-digit number, each digit has a different value based on its position. The leftmost digit is in the hundreds place (tells how many hundreds, or groups of 100). The middle digit is in the tens place (tells how many tens, or groups of 10). The rightmost digit is in the ones place (tells how many ones). For example, in 347: the 3 is in the hundreds place and represents 300 (3 hundreds or 3 × 100), the 4 is in the tens place and represents 40 (4 tens or 4 × 10), and the 7 is in the ones place and represents 7 (7 ones or 7 × 1). The digit tells us the numeral; the value tells us what that digit is worth based on its position. In this problem, the word form 'six hundred twenty-one' must be written as a number. To find the answer, convert words to digits (six hundred = 6 in hundreds, twenty = 2 in tens, one = 1 in ones = 621). Choice B is correct because 'six hundred twenty-one' converts to 621 in standard form. This demonstrates accurate understanding of place value positions and digit values. Choice A represents word form error (converted 'six hundred twenty-one' to 601 or misinterpreted word forms). This error typically happens when students misinterpret word forms. To help students: Use place value chart with columns labeled Hundreds | Tens | Ones. Write number 621, put each digit in correct column (6 in Hundreds, 2 in Tens, 1 in Ones). Teach: 'The 6 is the digit, 600 is the value (6 × 100).' Use base-ten blocks hands-on: show 6 flats (hundreds), 2 rods (tens), 1 unit (ones); count value of each type (600, 20, 1), combine for 621 total. Practice expanded form: 'Break apart the number. 621 is made of 6 hundreds (600) plus 2 tens (20) plus 1 one (1). Write: 621 = 600 + 20 + 1.' Connect representations: show same number as standard form (621), expanded form (600 + 20 + 1), word form ('six hundred twenty-one'), base-ten blocks (6 flats, 2 rods, 1 unit), and place value chart. Emphasize position determines value: 'Same digit, different place, different value. In 111, first 1 = 100, second 1 = 10, third 1 = 1.' Practice with zero: 601 has 6 hundreds (600), 0 tens (0), 1 one (1); the zero holds tens place. Watch for: confusing digit with value, wrong place identified, wrong value given, expanded form calculation errors, digit order mixed up, word form conversion errors, ignoring zero placeholders.
Question 2
In the number 507, what digit is in the hundreds place?
- 9
- 7
- 5 (correct answer)
- 0
Explanation: In the number 507, the 5 is in the hundreds place, the 0 is in the tens place, and the 7 is in the ones place, so the hundreds digit is 5. Choosing 7 mixes up the hundreds place with the ones place. Choosing 0 mixes up the hundreds place with the tens place. Choosing 9 doesn't match any of the digits in 507 at all.
Question 3
Write 842 in expanded form.
- 800+40+2 (correct answer)
- 80+40+2
- 800+20+4
- 800+4+2
Explanation: 842 has 8 hundreds, 4 tens, and 2 ones, so its expanded form is 800+40+2. Choice B drops a zero from the hundreds place, treating 8 hundreds as if it were only 80. Choice C swaps the tens and ones digits, showing 2 tens and 4 ones instead of 4 tens and 2 ones. Choice D leaves out the tens place value entirely. Question 4
In the number 705, how many hundreds are in the number?
- 70 (correct answer)
- 7
- 5
- 705
Explanation: This question tests 2nd grade understanding of three-digit numbers and place value, including identifying the value of digits in hundreds, tens, and ones places (CCSS 2.NBT.A.1: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones). In a three-digit number, each digit has a different value based on its position. The leftmost digit is in the hundreds place (tells how many hundreds, or groups of 100). The middle digit is in the tens place (tells how many tens, or groups of 10). The rightmost digit is in the ones place (tells how many ones). For example, in 347: the 3 is in the hundreds place and represents 300 (3 hundreds or 3 × 100), the 4 is in the tens place and represents 40 (4 tens or 4 × 10), and the 7 is in the ones place and represents 7 (7 ones or 7 × 1). The digit tells us the numeral; the value tells us what that digit is worth based on its position. In this problem, the number 705 is given and the student must find how many hundreds are in the number. To find the answer, recognize the digit in the hundreds place (7) means 7 hundreds. Choice A is correct because the hundreds place in 705 has the digit 7, representing 7 hundreds. This demonstrates accurate understanding of place value positions and digit values. Choice B represents confusing the number of hundreds with the value of the tens digit (gave 70 when asked for 7 hundreds). This error typically happens when students don't distinguish between digit and its value. To help students: Use place value chart with columns labeled Hundreds | Tens | Ones. Write number 705, put each digit in correct column (7 in Hundreds, 0 in Tens, 5 in Ones). Teach: 'The 7 is the digit, 700 is the value (7 × 100).' Use base-ten blocks hands-on: show 7 flats (hundreds), 0 rods (tens), 5 units (ones); count value of each type (700, 0, 5), combine for 705 total. Practice expanded form: 'Break apart the number. 705 is made of 7 hundreds (700) plus 0 tens (0) plus 5 ones (5). Write: 705 = 700 + 0 + 5.' Connect representations: show same number as standard form (705), expanded form (700 + 0 + 5), word form ('seven hundred five'), base-ten blocks (7 flats, 0 rods, 5 units), and place value chart. Emphasize position determines value: 'Same digit, different place, different value. In 777, first 7 = 700, second 7 = 70, third 7 = 7.' Practice with zero: 705 has 7 hundreds (700), 0 tens (0), 5 ones (5); the zero holds tens place. Watch for: confusing digit with value, wrong place identified, wrong value given, expanded form calculation errors, digit order mixed up, word form conversion errors, ignoring zero placeholders.
Question 5
Sofia's math book shows that 200 means "2 hundreds, 0 tens, 0 ones." She wants to write a number that means "9 hundreds, 0 tens, 0 ones." What number should Sofia write?
- 90 because 9 is in the tens place
- 900 because 9 is in the hundreds place (correct answer)
- 909 because she needs 9 in two places
- 9 because she only needs the digit 9
Explanation: Nine hundreds, zero tens, zero ones is written as 900. The 9 must be in the hundreds place. Choice A puts 9 in the tens place. Choice C adds unnecessary digits. Choice D ignores place value completely.
Question 6
A store has 400 stickers arranged in boxes. Each box holds exactly 100 stickers. The store manager says, "We have some full boxes and no loose stickers." How many full boxes does the store have?
- 40 full boxes of 100 stickers each
- 4 full boxes of 100 stickers each (correct answer)
- 100 full boxes of 4 stickers each
- 400 full boxes of 1 sticker each
Explanation: The number 400 represents 4 hundreds, so there are 4 boxes of 100 stickers each. Choice A treats the tens digit as significant. Choice C reverses the relationship. Choice D doesn't group by hundreds.
Question 7
A number has 5 hundreds, 0 tens, and 2 ones. What is the number?
- 520
- 502 (correct answer)
- 5002
- 52
Explanation: 5 hundreds, 0 tens, and 2 ones makes 502. Choice A swaps the tens and ones digits. Choice C adds an extra digit that doesn't belong. Choice D is missing the hundreds place entirely.
Question 8
Which number shows "six hundred fifteen"?
- 650
- 6015
- 651
- 615 (correct answer)
Explanation: Six hundred fifteen means 6 hundreds, 1 ten, and 5 ones, which is written as 615. Choosing 650 swaps the tens and ones digits. Choosing 6015 mistakenly adds an extra place value. Choosing 651 also swaps the ones and tens digits in the wrong order.
Question 9
In the number 472, what is the value of the 4?
- 4
- 400 (correct answer)
- 40
- 200
Explanation: In 472, the 4 is in the hundreds place, so its value is 400, making Choice B correct. Choice A is wrong because it gives the digit itself rather than its place value. Choice C is wrong because 40 is the value of a digit in the tens place, not the hundreds place. Choice D is wrong because 200 is not the value of any digit in 472.
Question 10
Look at the number 639. What digit is in the hundreds place?
- 3
- 0
- 6 (correct answer)
- 9
Explanation: In 639, the 6 is in the hundreds place, the 3 is in the tens place, and the 9 is in the ones place, so Choice C is correct. Choice A is wrong because 3 is the tens digit, not the hundreds digit. Choice B is wrong because there is no 0 in this number. Choice D is wrong because 9 is the ones digit, not the hundreds digit.
Question 11
How many hundreds are in 805?
- 5
- 0
- 8 (correct answer)
- 80
Explanation: 805 has an 8 in the hundreds place, so there are 8 hundreds in the number, making Choice C correct. Choice A is wrong because 5 is the number of ones, not hundreds. Choice B is wrong because 0 is the number of tens, not hundreds. Choice D is wrong because it is ten times too large to be the number of hundreds.
Question 12
In the number 639, what digit is in the hundreds place?
- 3
- 6 (correct answer)
- 0
- 9
Explanation: The correct answer is 6, because in 639 the digit 6 is in the hundreds place, the leftmost digit in a 3-digit number. Choice A (3) is the tens digit, not the hundreds digit. Choice C (0) is not a digit in 639 at all. Choice D (9) is the ones digit, not the hundreds digit.
Question 13
A number has 3 hundreds, 7 tens, and 2 ones. What is the number?
- 327
- 732
- 372 (correct answer)
- 30072
Explanation: 3 hundreds, 7 tens, and 2 ones make 300+70+2=372. Choice A swaps the tens and ones digits. Choice B reverses the order of all three digits. Choice D writes each place value with all its zeros instead of combining them into one number. Question 14
In the number 719, what does the 7 represent?
- 7
- 900
- 70
- 700 (correct answer)
Explanation: In 719, the digit 7 is in the hundreds place, so it represents 700. Choice A (7) states the digit but ignores its place value. Choice B (900) applies the hundreds place value to the wrong digit, the 9, which is actually in the ones place. Choice C (70) treats the 7 as if it were in the tens place instead of the hundreds place.
Question 15
What is 700+20+6 in standard form?
- 726 (correct answer)
- 762
- 720
- 706
Explanation: The correct answer is 726, because 700 + 20 + 6 combines the hundreds, tens, and ones into one number. Choice B (762) swaps the tens and ones digits. Choice C (720) leaves out the ones place. Choice D (706) leaves out the tens place.
Question 16
Emma writes the number 800. She says, "This number means 8 groups of , 0 tens, and 0 ones." What number goes in the blank?
- 8
- 10
- 80
- 100 (correct answer)
Explanation: In 800, the 8 is in the hundreds place, and each hundred is made of 100 individual items, so each group represents 100, matching D. A treats each group as if it held only 8 items. B treats each group as if it held 10 items, which would describe tens, not hundreds. C treats each group as if it held 80 items, an in-between value that does not match any place value.
Question 17
What is 500+20+9 in standard form?
- 5209
- 509
- 529 (correct answer)
- 592
Explanation: The correct answer is 529, because 500 + 20 + 9 combines the hundreds, tens, and ones into one number. Choice A (5209) strings the digits together instead of adding their place values. Choice B (509) leaves out the tens place. Choice D (592) swaps the ones and tens digits.
Question 18
Carlos arranges number cards to make different three-digit numbers. He has the cards 3, 0, and 0. When he arranges them to show "3 hundreds, 0 tens, 0 ones," which number does he make?
- 30 because he puts 3 first and 0 second
- 003 because he needs all three cards
- 300 because he puts 3 in hundreds place (correct answer)
- 3 because that's the only non-zero digit
Explanation: When you're working with place value, remember that the position of each digit tells you its value. In a three-digit number, you have hundreds place, tens place, and ones place from left to right.
The question tells you Carlos wants to show "3 hundreds, 0 tens, 0 ones." This means he needs to put the digit 3 in the hundreds place, 0 in the tens place, and 0 in the ones place. When you arrange the digits this way, you get 300.
Let's see why the other answers don't work. Choice A says 30 because he puts 3 first and 0 second, but this ignores the third card and doesn't follow the place value instruction. Choice B suggests 003, but we don't write numbers with leading zeros - this would just be the number 3, and it puts 3 in the ones place instead of the hundreds place. Choice D says the answer is 3, but this completely ignores the place value requirement and the instruction to use all three cards.
Choice C is correct because 300 properly shows 3 in the hundreds place, 0 in the tens place, and 0 in the ones place, which is exactly what the problem asks for.
Study tip: When working with place value problems, always identify which place each digit belongs in first, then write the number from left to right: hundreds, tens, ones. Don't get distracted by how many cards you have - focus on where each digit needs to go. Question 19
Luis arranges base-ten blocks to show a number. He uses 7 hundred-blocks, 0 ten-blocks, and 0 one-blocks. What number did Luis make?
- 70
- 700 (correct answer)
- 7
- 770
Explanation: Seven hundred-blocks represent 700, since each hundred-block stands for 100, so B is correct. A treats each block as if it were worth 10 instead of 100. C treats each block as if it were worth 1 instead of 100. D confuses the number of blocks used with the digits of an unrelated three-digit number.
Question 20
Jack writes: "600=6 groups of 100" and "60=6 groups of 10." Following this same pattern, what should he write for the number 6?
- 6=6 groups of 100
- 6=6 groups of 10
- 6=6 groups of 1 (correct answer)
- 6=60 groups of 1
Explanation: Following the pattern, 6 = 6 groups of 1 (ones place). The digit 6 in the ones place means 6 groups of one. Choices A and B use wrong place values. Choice D incorrectly uses 60 instead of 6.