Place Value
I am a 5-digit number.
My 4 is worth 4 X 10,000.
My 5 is worth 500.
My 2 is worth 20.
My other digits are 0.
What number am I?
40,520
Mia and Leo were playing Number Bounce. They created the numbers shown below. Write each player's number in standard notation. Circle the player who won the round.
Mia: 45 X 10^3
Leo: 5 X 10^4
Mia: 45,000
Leo: 50,000
Winner: Leo (50,000 > 45,000)
22 X 6
132
20 ÷ 4
5
Alex reached an epic milestone in their favorite online adventure game, earning a total lifetime score of 6,523,789 points. To unlock a special achievement badge, Alex needs to break down their score to show the exact value of each digit.
Can you help Alex write their score of 6,523,789 in expanded form?
6,000,000 + 500,000 + 20,000 + 3,000 + 700 + 80 + 9
I am a 5-digit number.
My 8 is worth 8 X 10,000.
My 6 is worth 6 X 1,000.
One of my 4s is worth 40.
The other 4 is worth 10 times as much.
My other digit is 0.
What number am I?
86,440
Jamal and Sofia were playing High Number Toss. They created the numbers shown below. Write each player's number in standard notation. Circle the player who won the round.
Jamal: 312 X 10^3
Sofia: 32 X 10^4
Jamal: 312,000
Sofia: 320,000
Winner: Sofia (320,000 > 312,000)
45 X 28
1,260
27 ÷ 4
6 r3
Allen is shipping a gift to his cousin. The gift weighs 4 pounds, and the box and shipping materials weigh 9 ounces. Knowing that 1 pound equals 16 ounces, write an expression with grouping symbols to find the total weight in ounces, and solve it.
Expression: (4 X 16) + 9
Solution: 64 + 9 = 73 ounces
I am a 6-digit number.
One of my 5s is worth 500,000.
The other 5 is worth 1/10 as much.
My 2 is worth 2 X 100.
My 7 is worth 7.
My other digits are 0.
What number am I?
505,207
Noah and Emma were playing Digit Drop. They created the numbers shown below. Write each player's number in standard notation. Circle the player who won the round.
Noah: 541 X 10^4
Emma: 55 X 10^5
Noah: 5,410,000
Emma: 5,500,000
Winner: Emma (5,500,000 > 5,410,000)
364 X 9
3,276
132 ÷ 5
26 r2
Jamie is helping in the school library. There are 378 books for a new reading corner, and each shelf holds 50 books. How many shelves should the library order to fit all the books, and what should you do with the remainder?
Quotient: 7, Remainder: 2$
What to do with the remainder: Round the quotient up.
Why: You must order an extra shelf to hold the remaining 28 books so no books are left out.
Final Answer: The library should order 8 shelves.
I am a 6-digit number.
My 4 is worth 4 X 100,000.
One of my 6s is worth 6,000.
The other 6 is worth 10 times as much.
My 2 is worth 20.
My other digits are 0.
What number am I?
466,020
Lucas and Harper were playing Mega Math Clash. They created the numbers shown below. Write each player's number in standard notation. Circle the player who won the round.
Lucas: 8,090 X 10^3
Harper: 81 X 10^5
Lucas: 8,090,000
Harper: 8,100,000
Winner: Harper (8,100,000 > 8,090,000)
281 X 46
12,926
593 ÷ 22
26 r21
Jesse collects cans for recycling. The recycling center will only pick them up if he has at least 1,500 cans. Jesse has 120 bags with about 35 cans in each bag. Should he call the recycling center to arrange a pick-up? Show your total count.
Mathematical Model: 120 X 35
Solution: 120 X 35 = 4,200 cans.
Final Answer: Yes, he should call because 4,200 cans is well over the 1,500-can requirement!
I am a 6-digit number.
One of my 9s is worth 900,000.
Another 9 is worth 1/10 as much.
My 3 is worth 3 X 1,000.
One of my 5s is worth 5.
The other 5 is worth 10 times as much.
My other digits are 0.
What number am I?
993,055
Oliver and Ava were playing Ultimate Number Arena. They created the numbers shown below. Write each player's number in standard notation. Circle the player who won the round.
Oliver: 4,025 X 10^3
Ava: 403 X 10^4
Oliver: 4,025,000
Ava: 4,030,000
Winner: Ava (4,030,000 > 4,025,000)
43 X 2964
127,452
2,153 ÷ 76
28 r25
The recycling center requires at least 1,500 cans for a pickup, and they must be packed into boxes that hold exactly 48 cans each. Jesse has collected 4,200 cans. How many full boxes will he have, and how many leftover cans will remain outside of a full box?
Mathematical Model: 4,200 ÷ 48
Quotient: 87 full boxes
Remainder: 24 cans left over ($4,200 - (87 X 48) = 4,200 - 4,176 = 24$)
Final Answer: He will have 87 full boxes with 24 leftover cans.