All questions
Question 1
Maria wrote a number in expanded form as 40,000+7,000+200+60+5. She then compared it to the number forty-nine thousand, three hundred twelve. Which statement correctly describes the relationship between these two numbers?
- 47,265>49,312 because the first number has more digits in the thousands place
- 47,265>49,312 because 7>3 when comparing the thousands digits
- 47,265=49,312 because both numbers have the same number of total digits
- 47,265<49,312 because 4<9 when comparing the ten-thousands digits (correct answer)
Explanation: When comparing large numbers, you need to work systematically from left to right, starting with the highest place value. First, let's convert Maria's expanded form into standard form: 40,000+7,000+200+60+5=47,265. Now you're comparing 47,265 and 49,312.
To compare these five-digit numbers, start with the ten-thousands place (the leftmost digit). In 47,265, the ten-thousands digit is 4. In 49,312, the ten-thousands digit is 9. Since 4<9, you know immediately that 47,265<49,312. When digits in the highest place value are different, you don't need to check any other digits.
Choice A is wrong because having "more digits in the thousands place" doesn't make sense - each number has exactly one thousands digit. The comparison is also backwards. Choice B makes an error by focusing on the thousands digits (7 and 3) instead of starting with the highest place value. While 7>3 is true, the ten-thousands place determines the relationship. Choice C incorrectly assumes equal numbers of digits means equal value - both numbers have five digits, but that doesn't make them equal.
Choice D correctly identifies that 47,265<49,312 because 4<9 in the ten-thousands place.
Strategy tip: Always compare numbers by starting with the leftmost (highest place value) digit and working right. As soon as you find digits that are different, you can determine which number is larger without checking the remaining digits. Question 2
Compare: 256,431 265,134. Which symbol (>,<,=) makes this true?
- < (correct answer)
- <, using only the ten-thousands digit
- #ERROR!
Explanation: The correct answer is A because comparing digit by digit from the left, 256,431 has a 5 in the ten-thousands place while 265,134 has a 6, so 256,431 is the smaller number and < is correct. Choice B reaches the same symbol but by looking at only one digit rather than comparing the full numbers in order. Choice C reverses the true relationship. Choice D is incorrect since the two numbers are not equal. Question 3
Which number is greater: 271,608 or 271,680?
- 271,608
- 271,806
- 271,068
- 271,680 (correct answer)
Explanation: The correct answer is D, 271,680, because comparing digit by digit, the hundreds place has an 8 in 271,680 versus a 0 in 271,608, so 271,680 is greater. Choice A is the smaller of the two original numbers. Choice B and Choice C both come from swapping digits in the numbers given, producing values that don't match either original number.
Question 4
Carlos read a sign that said 120,090. What is this number in word form?
- one hundred twenty thousand, nine
- one hundred twenty thousand, ninety (correct answer)
- one hundred and twenty thousand, ninety
- twelve thousand, ninety
Explanation: One hundred twenty thousand, ninety is correct because the digits 090 represent ninety. One hundred twenty thousand, nine is incorrect because it reads the last digits as nine instead of ninety. One hundred and twenty thousand, ninety is incorrect because it adds the word and, which is not used in standard number word form. Twelve thousand, ninety is incorrect because it drops a digit and changes the value by a factor of ten.
Question 5
Keisha wrote "ninety-two thousand, six hundred fifteen." What is this number in standard form?
- 92,651
- 92,615 (correct answer)
- 9,615
- 92,065
Explanation: The correct standard form is 92,615, matching ninety-two thousand for the digits before the comma and six hundred fifteen after it. Choice A, 92,651, swaps the tens and ones digits from six hundred fifteen. Choice C, 9,615, mistakes ninety-two thousand for nine thousand, dropping a digit. Choice D, 92,065, misplaces the hundreds digit of six hundred fifteen, writing it as if there were no hundreds.
Question 6
What is 58,407 in word form?
- fifty-eight thousand, four hundred seven (correct answer)
- fifty-eight thousand, four hundred seventy
- fifty-eight thousand, four hundred seventeen
- fifty-eight thousand, forty-seven
Explanation: 58,407 in words is 'fifty-eight thousand, four hundred seven' because 58 fills the thousands and 407 fills the rest. Choice B misreads the ones digit as part of 'seventy.' Choice C misreads the ones digit as part of 'seventeen.' Choice D drops the hundreds and thousands entirely, describing a much smaller number.
Question 7
What is 58,304 in word form?
- fifty-eight thousand, three hundred four (correct answer)
- fifty-eight thousand, three hundred forty
- five thousand, eight hundred four
- fifty-eight thousand, three hundred fourteen
Explanation: 58,304 in words is "fifty-eight thousand, three hundred four" because 58 fills the thousands and 304 fills the rest. Choice B swaps the order of the ones and tens digits. Choice C drops the ten-thousands value, making the number about ten times too small. Choice D misreads the ones digit as part of "fourteen" instead of "four."
Question 8
Keisha wrote "seventy-two thousand, nineteen." What is this number in standard form?
- 72,019 (correct answer)
- 70,219
- 7,219
- 72,190
Explanation: "Seventy-two thousand, nineteen" is written in standard form as 72,019, making Choice A correct. Choice B, 70,219, has the hundreds and tens digits reversed from the correct value. Choice C, 7,219, is missing a digit, as if "seventy" were read as 7 thousand instead of 72 thousand. Choice D, 72,190, has the tens and ones digits swapped, treating "nineteen" as if it were "one hundred ninety" instead. Writing each part of the number name in its correct place value column gives the standard form 72,019.
Question 9
A number is written as 80,000+7,000+0+50+3 in expanded form. When this number is compared to eighty-seven thousand, fifty-four, which statement describes the relationship and correctly explains the reasoning?
- 87,053=87,054 because both numbers have the same digits in the thousands and ten-thousands places
- 87,053>87,054 because the expanded form shows a zero in the hundreds place making it larger
- 87,053<87,054 because when comparing place values from left to right, the ones digits show 3<4 (correct answer)
- 87,053<87,054 because the word form represents a number with larger tens and hundreds digits
Explanation: When comparing large numbers, you need to convert them to the same form and then compare place values systematically from left to right, just like reading.
First, let's convert the expanded form to standard form: 80,000+7,000+0+50+3=87,053. The word form "eighty-seven thousand, fifty-four" equals 87,054. Now you're comparing 87,053 and 87,054.
To compare numbers with the same number of digits, start from the leftmost place value and work right until you find a difference. Both numbers have 8 in the ten-thousands place and 7 in the thousands place. Both have 0 in the hundreds place and 5 in the tens place. The first difference appears in the ones place: 3<4. Since 3<4, we know 87,053<87,054.
Choice A is wrong because having the same digits in some places doesn't make numbers equal—you must check all place values. Choice B incorrectly suggests that having a zero in the hundreds place makes a number larger, when actually both numbers have zero in the hundreds place, and zeros don't increase a number's value. Choice D is wrong because it claims the word form has "larger tens and hundreds digits," but both numbers have identical tens digits (5) and hundreds digits (0).
Remember: when comparing numbers, convert to the same form first, then compare place values from left to right until you find the first difference. That difference determines which number is larger. Question 10
A store's inventory system shows two item codes: Code A is 60,000+8,000+0+90+4 and Code B is sixty-eight thousand, ninety-five. Which code represents the larger number?
- Code A = 68,094 and Code B = 68,059, so Code A is larger
- Code A = 68,094 and Code B = 68,095, so Code B is larger (correct answer)
- Code A = 68,904 and Code B = 68,095, so Code A is larger
- Code A = 68,094 and Code B = 68,905, so Code B is larger
Explanation: Code B is larger because Code A equals 68,094 and Code B equals 68,095, and 68,095>68,094. The first choice is incorrect because it misreads Code B's value. The third choice is incorrect because it misreads Code A's expanded form. The fourth choice is incorrect because it misreads Code B's word form. Question 11
Which number sentence shows the expanded form of 65,408?
- 60,000+5,000+400+8 (correct answer)
- 6,000+5,000+400+8
- 60,000+5,000+40+8
- 65,000+408
Explanation: 65,408 expands to 60,000 + 5,000 + 400 + 8 because those match the ten-thousands, thousands, hundreds, and ones digits. Choice B drops a zero from the ten-thousands value, making it ten times too small. Choice C drops a zero from the hundreds value. Choice D combines digits into two large chunks instead of showing each place value separately.
Question 12
Two numbers are written on cards. Card 1 shows 'twenty-eight thousand, four hundred six' and Card 2 shows 20,000+8,000+300+40. A third number, 28,460, is written on the board. How do the three numbers compare when arranged from greatest to least?
- 28,406>28,460>28,340 because Card 1 has the largest value overall
- 28,340>28,406>28,460 because Card 2 has the largest value overall
- 28,460>28,406>28,340 because the board number is greatest and Card 2 is least (correct answer)
- 28,460>28,340>28,406 because Card 2 is greater than Card 1
Explanation: The correct answer is C because the board shows 28,460, Card 1 shows 28,406, and Card 2 shows 28,340, and ordering these from greatest to least gives 28,460>28,406>28,340. Choice A wrongly puts Card 1 first even though it's the middle value. Choice B wrongly puts Card 2 first even though it's the smallest value. Choice D correctly places the board number first but swaps the order of Card 1 and Card 2. Question 13
Write 30,405 in expanded form.
- 30,000 + 40 + 5
- 3,000 + 400 + 5
- 30,000 + 4,000 + 5
- 30,000 + 400 + 5 (correct answer)
Explanation: 30,405 breaks into 30,000 (ten-thousands and thousands), 400 (hundreds), and 5 (ones), so the expanded form is 30,000 + 400 + 5. Choice A mistakes the hundreds digit for the tens digit. Choice B drops a zero from the ten-thousands place. Choice C misreads the hundreds digit as a thousands digit.
Question 14
Look at the number line. Point P represents a number that, when written in word form, is 'thirty-one thousand, six hundred forty-five.' Point Q represents 30,000+1,000+700+40+2. Which statement about points P and Q is correct?
- Point P represents 31,645 and Point Q represents 31,742, so P is located to the right of Q on the number line
- Point P represents 31,645 and Point Q represents 31,742, so P is located to the left of Q on the number line (correct answer)
- Point P represents 31,654 and Point Q represents 31,742, so P is located to the left of Q on the number line
- Point P represents 31,645 and Point Q represents 31,724, so P is located to the right of Q on the number line
Explanation: The correct answer is B: P is 31,645 and Q is 31,742, and since 31,645 is less than 31,742, P sits to the left of Q on the number line. Choice A uses the correct values but the wrong direction. Choice C mistypes P as 31,654, switching two digits. Choice D mistypes Q as 31,724 and also gives the wrong direction for those values.
Question 15
Maya wrote "seven hundred thirty-six thousand, nineteen." What is this number in standard form?
- 73,691
- 736,190
- 736,019 (correct answer)
- 73,619
Explanation: 736,019 matches "seven hundred thirty-six thousand, nineteen" because 736 fills the thousands places and 019 fills the ones places. Choice A swaps two digits in a much smaller number. Choice B adds an extra zero, making the value ten times too large. Choice D drops the thousands digits entirely, giving a far smaller number.
Question 16
What is 70,000+8,000+300+20+9 in standard form?
- 78,329 (correct answer)
- 78,320
- 78,239
- 78,029
Explanation: The correct standard form is 78,329, since 70,000 + 8,000 + 300 + 20 + 9 adds up place by place to that value. Choice B, 78,320, forgets to add the final 9 ones. Choice C, 78,239, swaps the hundreds and tens digits. Choice D, 78,029, forgets to add the 300 for the hundreds place.
Question 17
Which number is greater: 507,206 or 570,206?
- Cannot tell from the digits.
- 507,206
- 570,206 (correct answer)
- They are equal.
Explanation: This question tests 4th grade ability to read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form, and to compare numbers using place value understanding (CCSS.4.NBT.2). Multi-digit numbers can be represented in three main forms: standard form (digits with commas like 45,678), word form (words like 'forty-five thousand, six hundred seventy-eight'), and expanded form (place values added like 40,000 + 5,000 + 600 + 70 + 8). When comparing numbers, we examine digits from left to right, starting with the highest place value—whichever number has the larger digit in the leftmost position is the greater number. The numbers 507,206 and 570,206 need to be compared, requiring students to examine the ten-thousands place after the hundred-thousands are equal. Choice B is correct because 570,206 is greater, as its ten-thousands digit 7 > 0 in 507,206, showing proper left-to-right comparison. Choice A fails by selecting the smaller number, which happens when students compare rightmost digits first instead of leftmost. To help students: Use place value charts for alignment; practice identifying the first differing digit. Watch for assuming equality without checking all places, and emphasize zero's placeholder role.
Question 18
Which shows the expanded form of 205,090?
- 200,000+90
- 200,000+5,000+90 (correct answer)
- 200,000+5,000+900
- 200,000+500+90
Explanation: This question tests 4th grade ability to read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form, and to compare numbers using place value understanding (CCSS.4.NBT.2). Multi-digit numbers can be represented in three main forms: standard form (digits with commas like 45,678), word form (words like 'forty-five thousand, six hundred seventy-eight'), and expanded form (place values added like 40,000 + 5,000 + 600 + 70 + 8). When comparing numbers, we examine digits from left to right, starting with the highest place value—whichever number has the larger digit in the leftmost position is the greater number. The number 205,090 needs its expanded form identified, requiring students to break it into place values, recognizing zeros in ten-thousands, hundreds, and ones. Choice A is correct because it shows 200,000 + 5,000 + 90, omitting zero terms, demonstrating place value understanding. Choice C fails by using 900 instead of 90, which happens when students misplace the 9 from tens to hundreds. To help students: Write each place separately; use charts to identify non-zero values. Emphasize omitting zero terms in expanded form, and watch for adding unnecessary zeros.
Question 19
Keisha read the number "twenty thousand, forty-five." What is this number in standard form?
- 200,045
- 20,450
- 20,045 (correct answer)
- 2,045
Explanation: This question tests 4th grade ability to read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form, and to compare numbers using place value understanding (CCSS.4.NBT.2). Multi-digit numbers can be represented in three main forms: standard form (digits with commas like 45,678), word form (words like 'forty-five thousand, six hundred seventy-eight'), and expanded form (place values added like 40,000 + 5,000 + 600 + 70 + 8). Converting word form to standard requires mapping words to places, with unspoken hundreds as zero. The word form 'twenty thousand, forty-five' needs to be in standard form, requiring recognition of zero hundreds. Choice C is correct because it represents 20,045, with zero hundreds between thousand and forty-five. Choice A fails by inserting 450 instead, confusing forty-five with four hundred fifty. To help students: Map words to place value charts and practice writing standard form. Emphasize unspoken zeros, and watch for misinterpreting combined words.
Question 20
A number written in word form is 'eighty-six thousand, four hundred nine.' When this number is written in expanded form, which expression shows the correct breakdown?
- 80,000+6,000+400+90
- 80,000+60,000+400+9
- 8,000+600+40+9
- 80,000+6,000+400+0+9 (correct answer)
Explanation: The correct answer is D because 86,409 breaks down into 80,000 + 6,000 + 400 + 0 + 9, one term for every place value. Choice A changes the ones digit to 90 instead of 9. Choice B mistakenly doubles the ten-thousands place into an extra 60,000 term. Choice C shifts every digit down one place value, treating the 8 as thousands instead of ten-thousands.