Powers of 10
What is 32 x 10^3?
32,000
A library receives 48 boxes of books. Each box contains 38 books.
Estimate the total number of books.
50 x 40 = 2000
What is 608 x 5 ?
40 + 3000 = 3040
What is 43 x 27?
1161
What is 142 x 23?
3266
What is 834 x 10^4?
8,340,000
A school orders 72 packs of pencils. Each pack contains 12 pencils. Estimate the total number of pencils.
70 x 10 = 700
An elementary school library purchases 4 new bookshelf units. Each unit can hold up to 815 books. If every bookshelf unit is completely filled, how many total books can the library hold on these new units?
815 x 4
20 + 40 + 3200 = 3260 books
What is 86 x 15?
1290
What is 516 x 34?
17544
Is this equation correct? Explain why or why not.
36 x 10^3 = 36,000
Yes, because it should have 3 zeros since the digits will shift over 3 times to the left.
A farmer plants 32 rows of corn with 52 seeds in each row. A student estimates the total seeds by calculating 30 x 50 = 1,500.
Is 1,500 an overestimate or an underestimate of the actual number of seeds? Explain
This is an underestimate because we rounded each number down before multipying.
What is 347 x 6?
42 + 240 + 1800 = 2082
A local farmer plants 52 rows of tomato plants in his greenhouse. If each row contains 34 plants, how many total tomato plants did the farmer plant?
1768 tomato plants
A venue hosts 18 concerts throughout the year. If every concert sells out at exactly 275 tickets, how many total tickets were sold across all 18 concerts?
4950 tickets
Is this equation correct? Explain why or why not.
67 x 10^4 = 67,000
No, because the product should have 4 zeros.
A school cafeteria orders 48 boxes of juice packs. Each box contains 18 juice packs. A student estimates the total number of juice packs by calculating 50 x 20 = 1000.
Is 1000 an overestimate or an underestimate of the actual total? Explain
This is an overestimate because we rounded both numbers up, before multiplying.
A local bakery bakes 163 trays of cookies every morning. If each tray holds 9 cookies, how many total cookies does the bakery make each morning?
163 x 9
27 + 540 + 900=1467
What is 79 x 61?
4819
A shipping company delivers 52 wooden crates to a warehouse. Each crate contains 634 small packages. How many total packages were delivered in the shipment?
32,968 packages
A giraffe eats 65 pounds of food a day. How much food does a giraffe eat in 10^3 days total?
The giraffe eats 65,000 pounds of food.
A warehouse ships 678 crates of items, with 89 items in each crate. Estimate the total number of creates and tell me if your estimate is an overestimate or underestimate and why.
700 x 90 = 63000 or 680 x 90 = 61200
This is an overestimate because we rounded up for each number before multiplying.
What is 529 x 7?
63 + 140 + 3500 = 3703
An office building orders 94 boxes of printer paper for the year. If each box contains 48 reams of paper, how many total reams of paper did the building order?
4512 reams of paper
What is 809 x 47?
38,023