Forms of Numbers
Represent the number 5,092 in expanded and word form.
five thousand, ninety two
Choose TWO numbers that round to 15,200 when rounded to the nearest hundred.
15,238
14,628
14,299
15,181
14,921
15, 238 AND 15,181
I bought 234 fiction books and 170 nonfiction books. I gave out 128 of the fiction and 58 of the nonfiction books. How many books (b) do I still have?
A student's work for the problem is given:
234 + 170 = 404
128+58 = 186
404-186 = b
Analyze the student’s work. Explain how the student’s work correctly or incorrectly represents the problem.
The student is correct. They added to find the total number of books. Then added the number of books given away. Then they will subtract the total given away from the total books.
2,537 - 368
2,169
Make a statement that is true about the relationship between digits.
68,668
___ is 10x larger than ______
____ is 100x larger than ______
600 is 10 times larger than 60
8,000 is 100 times larger than 8
Represent the number 9,037 in expanded and word form.
nine thousand thirty seven
Choose TWO numbers that round to 12,800 when rounded to the nearest hundred.
11,842
12,826
12,768
12,941
11,820
12,826 AND 12,768
I bought 348 cookies and 128 cupcakes for my friends birthday party. 100 cookies were eaten and 88 cupcakes were eaten. How many sweet treats (s) are left?
Here is one student's work:
348 +128 = 476
100 - 88 = 12
476 + 12 = s
The student is incorrect. They need to add the the 100 cookies and 88 cupcakes to show how many total sweets were eaten. 100+88 = 188
Then you need to subtract the total of eaten sweets from the total of sweets.
476 - 188 = 288
There are 288 sweets left over
4,284 - 865
3,419
Make a statement that is true about the relationship between digits.
44,224
___ is 10 x larger than ____
___ is 100 x larger than ____
40,000 is 10x larger than 4,000
4,000 is 100x larger than 4
Compare:
70,000 + 4,000 + 900 + 60 + 1
70,000 + 9,000 + 400 + 80 + 8
>
14,829
14,794
14,829 --> 14,800
14, 794 --> 14,800
A student is trying to find the value of 6 ten thousands, 7 thousands, 2 hundreds and 1 ones. The student creates a place value chart (your teacher will draw it for you)
The student says the value of this number is: 6,721. What mistake did they make?
The student should have included a tens place!
82,629 + 1,734 =
84,363
Make a statement that is true about the relationship between digits.
53,553
___ is 10 x larger than ____
___ is 100 x larger than ____
500 is 10x greater than 50
50,000 is 100x greater than 500
COMPARE
70,000 +4,000 + 900 + 60 + 1
70,000 + 9,000 + 400 + 80 + 8
<
Round each number to the nearest hundred.
394, 105
394, 056
394, 105 --> 394,100
394,056 --> 394,100
A student is trying to find the value of 5 hundred thousands, 4 thousands, 2 hundreds, 1 ten and 4 ones. Your teacher will show you what the place value chart looks like.
The student says the value of this number is 54,214. What mistake did they make?
The student did not put a zero in the ten thousands place. The correct number is 504,214
What mistake was made? How would you fix it? What is the correct answer?
13,462
+6,934
_________
82,802
He did not line up the place values!
I would line up the numbers starting in the ones place.
The correct answer is 20,396
Make a statement that is true about the relationship between digits.
14,441
Mr. Wilcox said that the 4 in the thousands place is 10 times larger than the 4 in the tens place. What error did he make? How could you correct his thinking?
There are 2 place values between the thousands and the tens. The 4 in the thousands place is 100 times larger than the 4 in the tens place
Mr. Wilcox said 9,506 = 9,000 + 500 + 10 + 6
What error did he make? How can we fix the equation to make it true?
He made a mistake in the tens place
Mr. Wilcox was trying hard. On the right are the numbers he rounded to.
What error did he make? How would you correct his work? What is the correct answer?
Round each number to the nearest hundred.
36,193 ----> 36,000
36,249 -----> 36,250
36,193 is closer to 36,200
36,249 is closer to 36,200
Mr. Wilcox rounded to the wrong place values! In the first number her rounded to the thousand. The second number he rounded to the tens!
A student is trying to find the value of 2 ten thousands, 3 thousands,1 hundreds and 4 ones. Your teacher will show you what the place value chart looks like.
The student says the value of this number is 2,314. What mistake did they make?
They forgot to put a zero in the tens place! The correct number is 23,104
What mistake was made? How would you fix it? What is the correct answer?
57,369
+2,138
_______
They did not line up their place values. Always line up the numbers starting in the ones.
The correct answer is 59,507
Look at the number: 541,142
Compare the digits in this number. ___ is 10x greater than _____
____ is 100x greater than _____
40,00 is 100 times greater than 40
1,000 is 10 times greater than 100