What is the standard form of 105?
100,000
83 × 17 = ____
1,411
15 × 126 = ____
1,890
121 × 111 = ____
13, 431
Mr. and Mrs. Griffin race 52 meters in their kayaks. How many centimeters do they race?
5200 centimeters
6×103=____
6,000
28 × 82 = ____
2,296
243 × 28 = ____
6,804
250 × 135 = ___
33,750
Jaleel lives 4 kilometers away from the school. How far does he live from the school in meters?
4,000 meters
105÷100 = ______
1,000
46 × 32 = ____
1,472
85 × 321 = ____
27,285
483 × 321 = ____
155,043
Deb's pool is filled with 70 kiloliters of water. The water company charges by the liter. How many liters of water will Debs be charged for?
70,000 liters
4 × ____ = 40,000
Write your answer as a power of 10.
104
An auditorium has 24 rows of seats. Each row has 18 seats. How many seats are there in total in the auditorium?
432 seats
A large parking lot has 206 rows. Each row has space for 25 cars. How many cars can fit in the parking lot in total?
5,150 cars
A factory produces 205 computers every day. If the factory operates for 150 days, how many computers will it produce in total?
The factory will produce 30,750 computers.
Mrs. Laurent runs 250 meters to the stop sign. She runs the same distance back home. How many centimeters does Mrs. Laurent run?
50,000 centimeters
A school is preparing for a fair. They have 103 prizes to give away. If each booth gives out 100 prizes, how many booths are at the fair?
10 booths
A farmer plants a field of pumpkins in 35 long rows. Each row has 42 pumpkins. The farmer harvests 800 pumpkins to sell at a market. How many pumpkins are left in the field?
There are 670 pumpkins left in the field.
Below is an area model used to solve the multiplication problem 43×256.
What is the mistake in this area model?
The mistake is in the top middle box, where the product of 40×50 is placed. The student wrote 200, but the correct product is 2,000. This is a place value error because they are missing a zero, which changes the value from two thousand to two hundred.
A student is solving the multiplication problem 325 x 128 using the standard algorithm. They have made a mistake.
Find the mistake and explain why it is wrong.
The mistake is in the second partial product. When the student multiplied 325 by 2 (from the tens place in 128), they wrote down 650. However, because the 2 is in the tens place, it represents 20, not 2.
To correct this, the student should have added a zero as a placeholder in the ones column before multiplying. The correct partial product for 32x20 should be 6,500.
Jalia is making lemonade for her school's bake sale. The recipe calls for 3,000 milliliters of lemon juice.
She has a large container that holds 1 liter of juice and several smaller cups that each hold 100 milliliters.
If she fills the large container completely and then uses the smaller cups to add the rest of the lemon juice needed, how many of the small cups will she need to fill?
20 small cups