Read, Write, Compare Multi-Digit Numbers - 4th Grade Math

1. What is $70,000 + 8,000 + 300 + 20 + 9$ in standard form?
   Answer: 78,329 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.
2. Which number is greater: $408,215$ or $408,152$?
   Answer: 408,215 408,215 is greater than 408,152 because comparing digit by digit from the left, the hundreds digit differs: 2 hundreds is greater than 1 hundred. Choice A is the smaller of the two original numbers. Choice B swaps two digits and doesn't match either original number. Choice C is wrong because the two numbers are not equal.
3. Write 30,405 in expanded form.
   Answer: 30,000 + 400 + 5 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.
4. Which number is greater: 507,206 or 570,206?
   Answer: 570,206 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.
5. What is 58,304 in word form?
   Answer: fifty-eight thousand, three hundred four 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."
6. Maya wrote "seven hundred thirty-six thousand, nineteen." What is this number in standard form?
   Answer: 736,019 736,019 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.
7. Keisha read the number "twenty thousand, forty-five." What is this number in standard form?
   Answer: 20,045 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.
8. 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?
   Answer: Point P represents $31,645$ and Point Q represents $31,742$, so P is located to the left of Q on the number line 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.
9. Carlos wrote $61,090$. What is this number in word form?
   Answer: sixty-one thousand, ninety The correct word form is sixty-one thousand, ninety, since 61,090 has 6 ten-thousands, 1 thousand, 0 hundreds, 9 tens, and 0 ones. Choice A adds an unnecessary 'and zero' that does not belong in standard word form. Choice B misreads the tens digit as a hundreds digit, turning ninety into nine hundred. Choice D awkwardly inserts 'zero hundred' instead of simply omitting the hundreds place.
10. 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?
    Answer: $87,053 < 87,054$ because when comparing place values from left to right, the ones digits show $3 < 4$ 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.
11. Write $40,507$ in expanded form.
    Answer: $40,000 + 500 + 7$ 40,507 breaks apart into 40,000 + 500 + 7 because those match the ten-thousands, hundreds, and ones digits. Choice B adds an extra tens place that isn't in the number. Choice C drops a zero from the ten-thousands place, making the value ten times too small. Choice D adds extra thousands and tens that aren't part of 40,507.
12. Compare: $256,431$ $\underline{\hspace{2em}}$ $265,134$. Which symbol $(>, <, =)$ makes this true?
    Answer: < 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.
13. 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?
    Answer: $47,265 < 49,312$ because $4 < 9$ when comparing the ten-thousands digits 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.
14. Compare: $64,918$ $\underline{\hspace{2em}}$ $64,891$. Which symbol ($>$, $<$, $=$) makes this true?
    Answer: > The correct answer is C because comparing digit by digit from the left, the hundreds place has a 9 in 64,918 and an 8 in 64,891, so 64,918 is the greater number. Choice A reaches the wrong symbol by looking only at the ones digit instead of comparing the full numbers in order. Choice B reverses the true relationship. Choice D is incorrect since the two numbers are not equal.
15. Keisha wrote "ninety-two thousand, six hundred fifteen." What is this number in standard form?
    Answer: 92,615 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.
16. Keisha wrote "seventy-two thousand, nineteen." What is this number in standard form?
    Answer: 72,019 "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.
17. Marcus wrote 41,072. What is this number in word form?
    Answer: forty-one thousand, seventy-two 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 41,072 needs to be written in word form, requiring students to understand place values like forty-one thousand and seventy-two, with zero as a placeholder in hundreds. Choice A is correct because it properly represents 'forty-one thousand, seventy-two,' with correct phrasing and no 'and.' Choice B fails by inserting hundreds incorrectly, which happens when students misread the tens and ones as hundreds. To help students: Practice reading aloud with groups; use charts to map digits to words. Watch for adding 'and' or omitting hyphens, and emphasize zero's role.
18. Which shows the expanded form of 205,090?
    Answer: $200,000 + 5,000 + 90$ 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.
19. Which number sentence shows the expanded form of 65,408?
    Answer: $60,000 + 5,000 + 400 + 8$ 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.
20. Yuki read a city population as "one hundred three thousand, eight." What is this number in standard form?
    Answer: 103,008 The correct standard form is 103,008, since one hundred three thousand gives 103,000 and adding eight ones gives 103,008. Choice A, 103,800, misplaces the eight in the hundreds place instead of the ones place. Choice C, 1,030,080, adds an extra digit, making the number ten times too large. Choice D, 13,008, drops a digit from the hundred-thousands part, turning one hundred three thousand into thirteen thousand.

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