Place Value
What is the value of the 7 in 472,915?
70,000
A store sells 4 boxes with 215 items in each box. How many items are sold in total?
860
A store sells 24 boxes with 32 items in each. How many items total?
768
75 pencils are shared equally among 8 students. How many pencils does each student get, and how many are left over?
9 each, 3 left over
A school orders 6 boxes of pencils with 245 pencils in each box. They give away 500 pencils to students.
How many pencils remain?
6 × 245 = 1,470
1,470 − 500 = 970
Write 507,090 in expanded form.
500,000 + 7,000 + 90
A factory produces 6 machines with 432 parts each. How many parts are used in total?
2,592
A factory produces 36 machines with 25 parts each. Total parts?
900
950 books are placed equally on 6 shelves. How many books go on each shelf, and how many are left?
158 each, 2 left over
A number is 8 times 4,250. Then it is divided equally into 5 groups. How many are in each group?
8 × 4,250 = 34,000
34,000 ÷ 5 = 6,800
Which number is greater? 498,765 or 489,765? Explain.
498,765 because it has 9 in the ten thousands place while the other number has an 8 in the ten thousands place.
A warehouse ships 3 crates with 1,248 items in each. How many items total?
3,744
A warehouse packs 125 boxes with 28 items each. How many items total?
3,500
1,275 apples are packed into baskets that hold 9 apples each. How many full baskets can be made, and how many apples are left over?
141 baskets, 6 left over
A factory produces 1,275 items each day for 3 days.
The items are packed into boxes that hold 8 items each. How many full boxes can be made, and how many items are left over?
1,275 × 3 = 3,825
3,825 ÷ 8 = 478 R1
A number has 3 in the hundred-thousands place, 0 in the ten-thousands, and 8 in the thousands. The rest are zeros. What is the number?
308,000
A company produces 8 trucks with 2,305 parts each. How many parts total?
18,440
A company ships 48 crates with 36 items each. Then 200 items are damaged. How many usable items remain?
1,528
A bus can hold 48 students. There are 1,030 students going on a field trip. How many buses are needed to carry all students?
22 buses (21 R22 → must round up to fit everyone!)
A warehouse has 2,450 items. They pack the items into 6 boxes equally. Then 25 items are removed from each box.
How many items remain in each box?
2,450 ÷ 6 = 408 R2 (students must use 408)
408 − 25 = 383
A number is 10 times 42,305. Then 5,000 is added. What is the final number?
423,050 + 5,000 = 428,050
A factory makes 7 machines with 3,125 parts each, then removes 2,000 parts. How many parts remain?
19,875
A factory produces 236 boxes with 45 items each, then ships out 3,000 items. How many items remain?
7,620
A warehouse has 2,575 items.
They pack the items into 8 boxes equally.
Then the leftover items are given to a separate box.
How many items are in each full box, and how many are in the leftover box?
321 in each box, 7 leftover
A company produces 1,350 items each day for 5 days. They pack all items equally into 8 boxes. The leftover items are discarded. Then 75 items are added to each box.
How many items are in each box now?
1,350 × 5 = 6,750
6,750 ÷ 8 = 843 R6 → use 843
843 + 75 = 918