Read, Write, Compare Multi-Digit Numbers
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4th Grade Math › Read, Write, Compare Multi-Digit Numbers
Which number is greater: 507,206 or 570,206?
507,206
They are equal.
Cannot tell from the digits.
570,206
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.
What is $70,000 + 8,000 + 300 + 20 + 9$ in standard form?
78,320
7,8329
78,329
78,239
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 expanded form $70,000 + 8,000 + 300 + 20 + 9$ needs to be converted to standard form, requiring students to combine place values correctly into digits. Choice A is correct because it properly combines to $78,329$, with correct digit placement and comma, demonstrating understanding of place value addition. Choice D fails by omitting the comma and squishing digits, which happens when students don't use proper standard form notation. To help students: Practice adding expanded forms step-by-step; use place value charts to align terms to positions. Watch for missing commas or misplaced digits, and emphasize zero's role as a placeholder.
Which shows the expanded form of 205,090?
$200,000 + 90$
$200,000 + 5,000 + 90$
$200,000 + 500 + 90$
$200,000 + 5,000 + 900$
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.
What is 58,407 in word form?
fifty-eight thousand, four hundred seventy
fifty-eight thousand, four hundred seven
fifty-eight thousand, forty-seven
fifty-eight thousand, four hundred and seven
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 58,407 needs to be written in word form, requiring students to understand place value meaning in each position, such as fifty-eight thousand for 58,000, four hundred for 400, and seven for 7. Choice A is correct because it properly represents the value in each place as 'fifty-eight thousand, four hundred seven,' demonstrating understanding of place value and number representation without using 'and' in whole number word forms. Choice B fails by including 'and,' which is reserved for decimals and happens when students mistakenly apply spoken language conventions to written form. To help students: Use place value charts to show each digit's position and value; for word form, practice reading aloud with proper phrasing ('fifty-eight thousand' | 'four hundred seven'). Emphasize that zero holds a place but represents 'none' of that place value, and watch for omitting zeros or wrong comma placement.
Marcus wrote 41,072. What is this number in word form?
forty-one thousand, seventy-two
fourteen thousand, seventy-two
forty-one thousand, seventy
forty-one thousand, seven hundred two
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 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.
Keisha wrote “ninety-two thousand, six hundred fifteen.” What is this number in standard form?
92,651
90,2615
92,615
9,2615
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 word form 'ninety-two thousand, six hundred fifteen' needs to be converted to standard form, requiring students to recognize place values like ninety-two thousand as 92,000 and six hundred fifteen as 615. Choice B is correct because it properly represents the value as 92,615, with correct comma placement and digit positioning, demonstrating understanding of place value and number representation. Choice A represents misplacing the digits by swapping 1 and 5, which happens when students don't understand the grouping in word form like 'six hundred fifteen' meaning 615. To help students: For word form, practice reading aloud and mapping to digits; use place value charts to align words to positions. Watch for common errors like omitting commas or adding unnecessary zeros, and emphasize comparing by lining up place values.
Compare: $64,918$ ___ $64,891$. Which symbol ($>$, $<$, $=$) makes this true?
=
≤
<
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 $64,918$ and $64,891$ need to be compared, requiring students to compare place values from left to right, focusing on the hundreds place where they first differ. Choice B is correct because it uses '>' to show $64,918 > 64,891$, as the hundreds digit $9 > 8$, demonstrating proper comparison. Choice A represents the wrong symbol by reversing the inequality, which happens when students compare rightmost digits instead of leftmost. To help students: Line up numbers by place value and compare left to right; practice with charts. Emphasize the first difference determines which is greater, and watch for comparing backwards.
Write 30,405 in expanded form.
$3,000 + 400 + 5$
$30,000 + 4,000 + 5$
$30,000 + 40 + 5$
$30,000 + 400 + 5$
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 30,405 needs to be written in expanded form, requiring students to break it down by place values, recognizing zero as a placeholder in the thousands and tens places. Choice A is correct because it properly represents 30,000 + 400 + 5, including the zero placeholders implicitly by omitting those terms, which demonstrates understanding of place value. Choice B fails by using 3,000 instead of 30,000, which happens when students misplace the digit in the ten-thousands position. To help students: For expanded form, write each digit's value separately then add; use place value charts to visualize zeros. Emphasize that zero holds a place but represents 'none,' and watch for omitting zeros or wrong placement.
Yuki read a city population as “one hundred three thousand, eight.” What is this number in standard form?
103,0080
103,800
13,008
103,008
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 word form 'one hundred three thousand, eight' needs to be converted to standard form, requiring students to interpret 'eight' as the ones place with zeros in between. Choice B is correct because it represents 103,008, with proper zeros as placeholders, showing understanding of implied zeros in word form. Choice A fails by placing 8 in the hundreds place, which happens when students misinterpret 'eight' as 'eight hundred.' To help students: Map word groups to place values; practice with charts. Watch for omitting zeros or wrong comma placement, and emphasize zero's placeholder role.
Keisha read the number "twenty thousand, forty-five." What is this number in standard form?
2,045
20,450
200,045
20,045
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.