Place Value (multi-digit)
What digit is in the ten-thousands place in the number 483,256483,256?
Ten-thousands digit in 483,256483,256 is 8.
Write the number 2,4062,406 in number words (number name).
"two thousand, four hundred six."
Which is greater: 45,30245,302 or 45,32045,320? Explain how you know in one sentence.
45,320 is greater;
I compared the hundreds and tens digits.
Round 3,8743,874 to the nearest ten.
3,8743,874 to nearest ten: 3,8703,870.
Add =. 4,326 + 1,487
5,813
In the number 7,305,4127,305,412, what value does the digit 3 represent? Write your answer as a number (not words).
In 7,305,4127,305,412 the digit 3 represents 300,000300,000.
Write the number 309,005309,005 in expanded form. (Use place values.)
309,005 expanded: 300,000+9,000+0+5300,000+9,000+0+5 (or 300,000+9,000+5300,000+9,000+5).
Compare using >, <, or = : 208,999208,999 ___ 209,000209,000. Explain which place helped you decide.
208,999<209,000; I used the thousands place;
(208 vs 209) decides.
Round 46,24846,248 to the nearest hundred.
46,248 to nearest hundred: 46,20046,200.
Subtract: 12,500 − 7,893=
12,500 − 7,893= 4,607.
Explain why the digit 6 in 56,48256,482 is worth ten times the digit 6 in 5,6485,648. (Short explanation appropriate for Grade 4.)
Moving a 6 from the hundreds place to the thousands place multiplies its value by 10 (example explanation accepted). (Teacher check)
The number name is "four hundred thirty-two thousand, one hundred eight."
Write this number in standard form and expanded form.
Standard form 432,108432,108;
Expanded 400,000+30,000+2,000+100+8400,000+30,000+2,000+100+8.
Order these numbers from least to greatest: 87,50187,501, 87,51087,510, 86,99986,999.
Least to greatest:
86,999,87,501,87,51086,999,87,501,87,510.
Round 219,765219,765 to the nearest thousand.
219,765 to nearest thousand: 220,000220,000.
Add: 56,789 + 123,456=
56,789 + 123,456=180,245.
Write a six-digit number where the digit in the hundreds place is worth 900900 and the digit in the ten-thousands place is worth 20,00020,000. Then identify both digits.
One possible number: 120,900120,900 (hundreds digit 9 = 900900, ten-thousands digit 2 = 20,00020,000). (Accept any valid number; teacher should check.)
Write the standard form for this expanded form: 300,000+20,000+4,000+300+50+7300,000+20,000+4,000+300+50+7.
Standard form 324,357324,357
Explain which place value you would compare first when determining which is greater:
508,721 or 497,999
The hundred-thousands place ;
(5 > 4 → 508,721 is greater.)
Which is correct when rounding 58,49958,499 to the nearest thousand: 58,00058,000 or 59,00059,000? Explain the digit you used to decide.
58,499 to nearest thousand is 58,00058,000 because the hundreds digit is 4 (less than 5).
Subtract: 500,000−378,245
121,755.
If a digit is in the thousands place and you move it one place to the left, by what factor does its value change? Give an example using the digit 4.
Example: digit 4 in thousands is 4,0004,000; moved left to ten-thousands is 40,00040,000.
Create a number in standard form that matches this number name: "six hundred twelve thousand, four hundred ninety-three."
Then write its expanded form.
Standard form 612,493612,493; expanded 600,000+10,000+2,000+400+90+3600,000+10,000+2,000+400+90+3.
Expanded 600,000+10,000+2,000+400+90+3600,000+10,000+2,000+400+90+3.
Without calculating each completely, determine which is larger:
5×100,000+2,3455×100,000+2,345
or
499,999+7,000499,999+7,000.
Show a one-line place-value reason.
First evaluate place-value reasoning:
The first one : 5×100,000+2,345=500,000+2,345=502,3455×100,000+2,345=500,000+2,345=502,345.
The second one :
499,999+7,000=506,999499,999+7,000=506,999.
So right is larger. (Teacher verify.)
Round 745,999745,999 to the nearest ten-thousand and to the nearest hundred-thousand. Show both rounded answers.
745,999 to nearest ten-thousand: 750,000750,000; to nearest hundred-thousand: 700,000700,000 (teacher: verify rounding steps).
A library had 87,65487,654 books.
They received 14,38914,389 more and later donated 6,2156,215.
How many books are in the library now? (Use standard algorithms; show work.)
Library: 87,654+14,389=102,043;102,043−6,215=95,82887,654+14,389=102,043;102,043−6,215=95,828. (Teacher check work.)