Partial products
If you break 23 into parts, you get these two numbers?
20 + 3
Alice sleeps an average of 9 hours per night. A cat can sleep up to 20 hours per day. About how many more hours does a cat sleep in 1 month than Alice?
20 x 30 = 600, 10x 30=300, 600-300=300
About 330 more hours per month
How many milliliters (mL) are in 1 liter (L)?
1,000 ml
Using lattice method, solve:
24 × 3
72
Multiply 12 × 4 using a box method.
Split 12 into 10 + 2. Multiply each part by 4, then add: 10×4 + 2×4 = 40 + 8 = 48.
Using partial product, what is 8 × 46?
8 x 40= 320
8 x 6 = 48
320 + 48 = 368
Koalas sleep about 22 hours a day. Pandas sleep about 10 hours a day. About how many more hours does a typical koala sleep in 1 year than a typical panda?
(20 x 400) - (10 x 400)= 4,000
About 4,380 more hours oer year
A classroom rug is 8 feet long and 6 feet wide.
What is the area of the rug?
Write the unit as your answer
48 feet wide
Using lattice method, solve:
39 × 5
195
Multiply 23 × 5 using a box.
Split 23 into 20 + 3. Multiply each by 5, then add: 20×5 + 3×5 = 100 + 15 = 115.
The partial products for 9 × 42 are 9 × 40 and 9 × ___.
2
There are 30 major league baseball (MLB) teams and 32 national football league (nfl) teams. The expanded roster for MLB teams is 40 players and it is 53 for NFL teams. How many more players are in the NFL than in the MLB?
(30 X 50)=1,500.
30 X 40 = 1,200
1,500-1,200=300
about 496 more players
We know 1yard= 3 feet. How many feet is 5 yards?
15 feet
52 x 24
1,248
Question:
Ella tried to multiply 14 × 12 using the box method. This is her work:
She added 100 + 20 + 40 + 6 and got 166.
What is her mistake, and what is the correct answer?
Mistake: Ella added incorrectly. 100 + 20 + 40 + 6 = 166, but the correct sum is 168.
Correct answer: 168
The total of the partial products for 4 × 23?
92
A housefly beats its wings about 190 times per second. A wasp can beat its wings about 400 times per second. About how many more times does a wasp beat its wings in 1 minute compared to a housefly?
60 x 200 = 12,000
24,000-12,000=12,000
About 12,600
A park has a rectangular soccer field that is 40 meters by 25 meters.
Next to it is a rectangular practice area that is 15 meters by 20 meters.
What is the total area of both fields combined?
(40 × 25) + (15 × 20)
1,000 + 300 = 1,300 square meters
Using the lattice method, solve:
408 x 27
11,016
Liam tried to multiply 31 × 14 using the box method. He split the numbers like this:
10 4
30 300 120
1 10 5
What did Liam do wrong, and what is the correct answer?
Mistake: The partial product 1 × 4 should be 4, not 5.
Correct sum: 300 + 120 + 10 + 4 = 434
What is a common mistake whendoing partial product?
Adding them correctly or multiplying them correctly
A giant anteater eats about 30,000 insects every day. An aardvark eats about 50,000 insects per day. About how many insects does 1 giant anteater and 1 giant aardvark eat in 1 year?
400 x 30,000= 12,000,000
400 x 50,000= 20,000,000
12,000,000 + 20,000,000= 32,000,000
About: 29,200,000
Mia has 3 juice boxes. Each juice box has 250 mL. Her brother drinks 2 juice boxes. How many milliliters of juice did they drink together?
1,250 mL
Using the lattice method, solve:
462 × 39
18,018
Multiply 46 × 23 using partitioning rectangles.
Split 46 into 40 + 6 and 23 into 20 + 3. Multiply each pair: 40×20, 40×3, 6×20, 6×3. Then add: 800 + 120 + 120 + 18 = 1,058.