To add... or subtract...
The Buffalo Zoo is tracking the number of visitors over a weekend. On Saturday, 12,450 people visited. On Sunday, 15,325 people visited.
The Question: How many people visited the zoo in total over the weekend?
Addition
12,450 + 15,325= 27,775 visitors
9. Which number rounds to 200,000 when rounded to the nearest hundred?
199,589
199,951
200,142
201,015
200,142
The Scenario: At a local pet store, there are 8 hamsters. The store has 4 times as many fish as it has hamsters.
The Question: How many fish are at the pet store?
8 x 4
32 Fish
The Scenario: In the number 57,432, what is the value of the digit 7?
(A) 700
(B) 7,000
(C) 70,000
(D) 70
(B) 7,000
Level 1: Basic Arrays/Area Models
The Scenario: A classroom has 4 rows of desks. Each row has 12 desks.
The Question: Which expression can be used to find the total number of desks in the classroom?
(A) 12 + 4
(B) 12 divide4 4
(C) 12 X 4
(D) 12 - 4
c. 12 X 4
A tech company in New York City has a warehouse with 45,800 laptops. During a massive back-to-school sale, they sold 23,150 of them.
The Question: How many laptops are left in the warehouse?
45,800 - 23,150= 22,650 laptops
10. Chattanooga’s population is 184,086. Which explains how 184,086 is estimated to have 200,000 people?
Rounding to the nearest ten thousand
Rounding to the nearest ten
Rounding to the nearest hundred thousand
Rounding to the nearest thousand
Rounding to the nearest hundred thousand
Level 2: Finding the Unknown Factor
The Scenario: A library has two bookshelves. The fiction shelf is 54 feet long. The non-fiction shelf is 9 feet long.
The Question: How many times longer is the fiction shelf than the non-fiction shelf?
6 times longer
54/9
Consider the two 4s in the number 44,125. How does the value of the 4 in the ten-thousands place compare to the value of the 4 in the thousands place?
The Question: Complete the sentence: The 4 in the ten-thousands place represents _______ times the value of the 4 in the thousands place.
10 times
To solve 7 x 23, Sarah broke the problem into two smaller parts:
The Question: What is the final product of 7 x 23?
(A) 140
(B) 161
(C) 143
(D) 154
140 + 21
(B) 161
Two apple orchards in Upstate New York are totaling their harvest. Orchard A picked 38,765 apples. Orchard B picked 46,438 apples.
The Question: What is the combined total of apples picked by both orchards?
38,765 + 46,438 = 85,203 apples
12. The height of Mt. Everest, when rounded to the nearest ten thousand, is 30,000 feet. Which of these heights could be the exact height of Mt. Everest?
24,157 feet
29,028 feet
35,146
39,226
29,028 feet
Level 3: "Times as Many" with Multi-Digit Numbers
The Scenario: A school cafeteria sold 120 cartons of milk on Monday. On Friday, they sold 3 times as many cartons as they did on Monday.
The Question: How many cartons of milk were sold on Friday?
123 x 3 = 360 Cartons
Expanded Form and Word Form
The Scenario: A local park covers thirty-six thousand, eight hundred five square feet of land.
The Question: Which of the following shows this number written in expanded form?
(A) $30,000 + 6,000 + 80 + 5$
(B) $3,000 + 600 + 80 + 5$
(C) $30,000 + 6,000 + 800 + 5$
(D) $30,000 + 6,000 + 800 + 50$
(C) 30,000 + 6,000 + 800 + 5
A local bakery sells boxes of cookies. Each box contains 15 cookies. On Saturday, the bakery sold 6 boxes. On Sunday, they sold 8 boxes.
The Question: How many total cookies did the bakery sell over the weekend?
(15 x 6) + (15x8) = 90
90 + 120 = 210 cookies
The Adirondack Park has two main hiking regions. Region One has an area of 60,000 acres. Region Two has an area of 42,575 acres.
The Question: Exactly how many more acres are in Region One than in Region Two?
60,000 - 42,575 = 17,425 acres
14. A Titans football game has 235,202 people in attendance. About how many people attend the football game when rounded to the nearest ten thousand?
230,000 people
235,000 people
240,000 people
245,000 people
240,000 people
Level 4: Comparison with a Total (The "Tape Diagram" Challenge)
The Scenario: A baker made chocolate and vanilla cupcakes. She made 5 times as many vanilla cupcakes as chocolate cupcakes. She made 40 chocolate cupcakes.
The Question: How many cupcakes did she make in all (chocolate and vanilla combined)?
40 x 5 = 200
200+40 = 240 total cupcakes
Rounding to a Specific Place
The Scenario: The population of a town in New York is 72,491.
The Question: What is this population rounded to the nearest thousand? Explain why the number rounds up or stays the same based on the digit in the hundreds place
72,000
(The 4 in the hundreds place is less than 5, so we round down).
The Scenario: Look at the partial products used to solve the problem below:
Step 1: 4 x 30 = 120
Step 2: 4 x 6 = ?
The Question: What is the value of the missing partial product in Step 2, and what is the final product of 4 x 36?
Step 2: 24
Final Product: 144
The Scenario: A professional football stadium is tracking attendance for three games.
Game 1: 62,450 fans
Game 2: 18,300 fans
Game 3: 25,750 fans
The Question: Is the attendance of Game 1 greater than or less than the combined attendance of Game 2 and Game 3? By how much?
18,300 + 25,750 = 44,050
62,450 - 44,050 = 18,400
Game 1 is greater by 18,400
20. Mr. Carver was looking at a house to buy, and the original cost of the house was $207,00. After bargaining with the owner, Mr. Carver bought the house for $186,000.
About how much more was the original cost of the the house than the price Mr. Carver paid if rounding to the nearest ten thousand?
$30,000
$25,000
$20,000
$10,000
$ 20,000
DAILY DOUBLE!
Level 5: The Double Comparison (Multi-Step)
The Scenario: Three friends are saving money for a trip to a New York state park.
Leo saved $15.
Maya saved 4 times as much as Leo.
Sam saved $20 less than Maya.
The Question: How much money did Sam save, and what is the total amount saved by all three friends?
Maya 15 x 4 = 60
Sam 60-20=40
Sam: $40
15 + 60 + 40
Total : $115
The Scenario: Use the digits 4, 0, 9, 2, 7 to create the largest possible 5-digit number and the smallest possible 5-digit number (the number cannot start with 0).
The Question: Write both numbers. Then, use the symbol <, >, or = to compare the two numbers. Finally, determine how much larger the digit in the ten-thousands place of your "largest number" is compared to the digit in the ten-thousands place of your "smallest number."
Largest: 97,420; Smallest: 20,479.
Comparison: 97,420 > 20,479. The value of the 9 is 70,000 greater than the value of the 2.
Two schools are collecting cans for a food drive.
School A collected 42 cans.
School B collected 3 times as many cans as School A.
The Question: How many more cans did School B collect than School A? Show your work.
42 x 3 = 126
126 - 42 = 84
84 More Cans