EOM Eureka Math Review

4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

100

What is the difference of 10,000 - 5,000?

What is 5,000!

200

What is the sum of 12,050 + 1,000?

What is 13,050!

300

What is the difference of 26,874 - 7,985?

What is 18,889!

400

Subtract using the standard algorithm or any place value strategy. 

45,978 - 218,671 = _________

What is 172,693!

500

Daily Double ! Double or Nothing (Doble O nada)

What is the name of the strategy you use for this standard? 

What is the Standard Algorithm!

4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.

100

Round 4,587 to the nearest hundred and thousand.

4,587 to the nearest hundred is 4,600 because 4,587 is higher than the halfway point so it would round up to the nearest hundred which is 4,600.

4,587 to the nearest thousand is 5,000 because 4,587 is above the halfway point so it will round up to 5,000 and not 4,000.

200

1. There are 34,689 people watching the Dodger game. Estimate how many fans attended the game by rounding to the nearest thousand.

A) 30,000

B) 34,600

C) 35,000

D) 35,689

What is C ! 35,000. 34,689 rounds up to 35,000 because the number is above the halfway point so it will round up!

300

1. Compare these numbers. Hint: Convert to standard form first. Then compare. 

45,635         (       )       40,000+5,000+600+20+5

A      >

B     <

C     =

 What is B > greater than!

400

Convert the following number to word, expanded and unit form.

267,800

What is ..

Unit form: 2 hundred, 6 ten thousands, 7 thousands, 8 hundreds

Word Form: Two hundred, six then thousands, seven thousand and eight hundreds

Expanded form: 200,000 + 60,000+ 7,000+800

500

 Write out this number in standard form.

(4X100,000) +(5 X 10,000) + (9X100) + (1X10)=

What is 450,910

4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for t

100

A school is taking 15 buses on a field trip. Each bus can hold 45 students. On the day of the trip, 21 students are absent. How many students went on the field trip?

Equation 

• First, find the total capacity of the buses: 

  
  

  15×45=t15 cross 45 equals t

  
  

• Next, subtract the absent students from the total capacity: 

  
  

  t−21=st minus 21 equals s

  
  

• This can be combined into a single equation: 

  
  

  (15×45)−21=sopen paren 15 cross 45 close paren minus 21 equals s

  
  

   

Solution and reasonableness check 

• Solution:

  • 
    

    15×45=67515 cross 45 equals 675

    
    

    (total students the buses can hold)

  • 
    

    675−21=654675 minus 21 equals 654

    
    

    (students who went on the trip)

  • 
    

    s=654s equals 654

    
    

• Reasonableness:
  • Use rounding to estimate the answer.
  • Round the number of buses to 20 and the number of students per bus to 50.

  • 
    

    20×50=1,00020 cross 50 equals 1 comma 000

    
    

    . This is a very rough estimate.
  • A better estimation would be to round the number of students per bus to 50: 

    
    

    15×50=75015 cross 50 equals 750

    
    

    .
  • Then, subtract an estimated number of absent students (e.g., 20) from the estimate: 

    
    

    750−20=730750 minus 20 equals 730

    
    

    .
  • The calculated answer of 654 is reasonably close to the estimate of 730. 

200

Norfolk has a population of 242,628 people. Baltimore has a population of 356,865 people. Charleston has 126,804 people. 

Find an estimate of the total population. Then draw a tape diagram to represent this situation. Write a math problem and solve the math problem to find the total population of the 3 cities. Finally, tell if your answer is reasonable.

1. What is a reasonable estimate for how many people live in the 3 cities altogether. Use rounding to find an estimate. Use your RDW to show your work.

🧮 Step 1: Read

We are finding about how many people live in the three cities altogether.
We’ll estimate by rounding each population to the nearest ten thousand.

City Exact Population Rounded (nearest 10,000) Norfolk 242,628 240,000 Baltimore 356,865 360,000 Charleston 126,804 130,000

✏️ Step 2: Draw (Tape Diagram)

We can represent this with a tape diagram showing each city’s population as parts of a whole:

|---------240,000---------| Norfolk |--------------360,000--------------| Baltimore |-----130,000-----| Charleston Total = ?

Each bar represents a city’s population. We’ll add all three to find the total estimated population.

➕ Step 3: Write (and Solve)

Now we write and solve the math problem:

[
240,000 + 360,000 + 130,000 = ?
]

Let’s add step-by-step:

1. (240,000 + 360,000 = 600,000)

2. (600,000 + 130,000 = 730,000)

✅ Estimated Total Population = 730,000 people

💭 Step 4: Reasonableness

Let’s check if the estimate makes sense.

• The actual numbers (242,628 + 356,865 + 126,804) would give a little more than 700,000.

• Our estimate of 730,000 is close and reasonable because we rounded each number to the nearest ten thousand.

✅ Final Answer: About 730,000 people live in the 3 cities altogether.

300

Norfolk has a population of 242,628 people. Baltimore has a population of 356,865 people. Charleston has 126,804 people. 

Find an estimate of the total population. Then draw a tape diagram to represent this situation. Write a math problem and solve the math problem to find the total population of the 3 cities. Finally, tell if your answer is reasonable.

2. What is the population of all three cities? Use RDW to show your work, draw your model, and solve your math equation and write it as a statement.

Read (R)
You are given:

• Norfolk = 242,628

• Baltimore = 356,865

• Charleston = 126,804

You need: an estimate (using rounding), a tape diagram, the exact total (solve the equation), and a check for reasonableness.

Estimate (rounding to nearest ten thousand)

Round each city to the nearest ten thousand:

• Norfolk 242,628 → 240,000

• Baltimore 356,865 → 360,000

• Charleston 126,804 → 130,000

Add the rounded numbers:

240,000 + 360,000 + 130,000 = 730,000

Estimated total ≈ 730,000 people

Draw (D) — Tape diagram

A simple tape diagram (rounded values for the estimate):

 Norfolk    |---------240,000---------| Baltimore  |--------------360,000--------------| Charleston |-----130,000-----| ------------------------------------------ Estimated Total ≈ 730,000

If you want a tape diagram with the exact numbers, label each bar with its exact population:

 Norfolk    |--------242,628--------| Baltimore  |--------------356,865--------------| Charleston |----126,804----| ------------------------------------------ Exact Total = ? (solve below)

Write (W) — Math problem, exact solution, and step-by-step addition

Math equation:
242,628 + 356,865 + 126,804 = ?

Do the addition column-by-column (right to left), showing carries:

      242,628    + 356,865    + 126,804    -----------      726,297

Step-by-step with carries shown:

• Ones: 8 + 5 + 4 = 17 → write 7, carry 1

• Tens: 2 + 6 + 0 = 8, plus carry 1 → 9, carry 0

• Hundreds: 6 + 8 + 8 = 22 → write 2, carry 2

• Thousands: 2 + 6 + 6 = 14, plus carry 2 → 16 → write 6, carry 1

• Ten-thousands: 4 + 5 + 2 = 11, plus carry 1 → 12 → write 2, carry 1

• Hundred-thousands: 2 + 3 + 1 = 6, plus carry 1 → 7

So the exact total is 726,297.

Write as a statement:
There are 726,297 people living in Norfolk, Baltimore, and Charleston altogether.

Reasonableness check

• Estimate = 730,000

• Exact = 726,297
  Difference = 730,000 − 726,297 = 3,703, which is small relative to the total.
  So the estimate 730,000 is reasonable and close to the exact total.

400

Norfolk has a population of 242,628 people. Baltimore has a population of 356,865 people. Charleston has 126,804 people.

1. Compare the population of Norfolk and Charleston.Use >, <, or = .

Norfolk (   ) Charleston. Write out their populations, label them and choose the correct comparison symbol.

Given:

• Norfolk → 242,628 people

• Charleston → 126,804 people

Step 1: Line up and compare by place value

Place Hundred-thousands Ten-thousands Thousands Hundreds Tens Ones Norfolk 2 4 2 6 2 8 Charleston 1 2 6 8 0 4

Step 2: Compare the hundred-thousands place first

• Norfolk has a 2 in the hundred-thousands place.

• Charleston has a 1 in the hundred-thousands place.

Since 2 > 1, Norfolk’s population is greater than Charleston’s.

Step 3: Write the comparison

[
242,628 > 126,804
]

✅ Norfolk ( > ) Charleston

Final Answer:

Norfolk ( > ) Charleston
→ 242,628 > 126,804
→ Norfolk has more people than Charleston.

500

Problem
A baker is making cookies for a bake sale. She bakes 12 batches of cookies, with 24 cookies in each batch. She plans to put the cookies into boxes that hold 5 cookies each. How many full boxes of cookies can she make? How many cookies will be left over?

Equation 

• First, find the total number of cookies: 

  
  

  12×24=c12 cross 24 equals c

  
  

• Next, divide the total cookies by the number of cookies per box to find the number of boxes: 

  
  

  c÷5=bc divided by 5 equals b

  
  

• This can be combined into a single equation: 

  
  

  (12×24)÷5=bopen paren 12 cross 24 close paren divided by 5 equals b

  
  

   

Solution and reasonableness check 

• Solution:

  • 
    

    12×24=28812 cross 24 equals 288

    
    

    (total cookies baked)

  • 
    

    288÷5=57288 divided by 5 equals 57

    
    

    with a remainder of 3.
  • The baker can make 57 full boxes, and there will be 3 cookies left over.
• Reasonableness:
  • Estimate the total number of cookies: Round 12 to 10 and 24 to 25.

  • 
    

    10×25=25010 cross 25 equals 250

    
    

    cookies.
  • Estimate the number of boxes: 

    
    

    250÷5=50250 divided by 5 equals 50

    
    

    boxes.
  • The calculated answer of 57 boxes is reasonably close to the estimate of 50.
  • The context of the remainder is important. The baker can't make another full box with the leftover cookies, so the whole number 57 is the correct answer to the first question. 

Miscellaneous

100

Fact fluency ! 

12X12= 

What is 144!

200

What are all the factors of 100?

What is 1x100,2x50,4x25,5x20 and 10x10!

300

Name 10 odd numbers.

3,7,13,17,37,101,273,345,78,093

400

Name 10 even numbers.

2,4,68,568,200,1200,100,000,346,780,002

500

What is a quoitent?

The answer to a division problem.

Math Stories

100

Problem
There are 150 fourth-grade students attending a camp. The camp director wants to split the students into groups of 12 for different activities. What is the minimum number of groups needed for all students to participate?

Equation 

• Divide the total number of students by the size of each group: 

  
  

  150÷12=g150 divided by 12 equals g

  
  

   

Solution and reasonableness check 

• Solution:

  • 
    

    150÷12=12150 divided by 12 equals 12

    
    

    with a remainder of 6.

  • 
    

    g=12g equals 12

    
    

    remainder 6.
  • In this case, the remainder represents 6 students who need to be in a group. They cannot be left out, so an additional group must be created for them. The total number of groups needed is 13.
• Reasonableness:
  • Use rounding to estimate. Round 150 to 120 and divide by 12, which gives 10 groups. Round 150 to 180 and divide by 12, which gives 15 groups. The answer 13 is between these two estimates.
  • You could also check the answer by working backward: 

    
    

    12×12=14412 cross 12 equals 144

    
    

     (not enough students). 

    
    

    13×12=15613 cross 12 equals 156

    
    

    (enough students). The answer is reasonable. 

200

Jonah's family is driving 375 to visit his grandparents. In the morning they travel 195 miles. After lunch they drove 150 miles. How many more miles does the family have left to travel?

195+150=345 375-345=30 M=miles traveled M=195+150 M=345 R=miles that remain R=375-345 R=30

300

: A baking company makes apple pies. What is the total number of apple pies the company can make using the following information? 

• The baking company has 15 boxes of apples. • Each box has 18 apples. • The baking company uses 7 apples for each pie.

A=total number of apples A=15 x 18 10 x 18 = 180 5 x 18 = 90 A=180 + 90 A=270 P=total number of apple pies made P=270 ÷7 P=38 R 4 The bakers can make 38 apple pies. Even though there are 4 apples that remain, those 4 apples are not enough for an apple pie.

400

A clothing store received a shipment of T-shirts. The shirts were packaged in 16 identical boxes. Each box contained 75 T-shirts. The shirts come in sizes Small, Medium, Large, and Extra Large. If the shipment had the same number of each sized shirt, how many Large T-shirts were in the shipment?

Step 1: Read and understand

• There are 16 boxes.

• Each box has 75 T-shirts.

• The shirts come in 4 sizes: Small, Medium, Large, and Extra Large.

• Each size has the same number of shirts.

We need to find:
👉 How many Large T-shirts are in the shipment?

Step 2: Find the total number of shirts

Each box = 75 shirts
Number of boxes = 16

[
16 \times 75 = ?
]

Work it out:

Break apart:
[
16 \times 75 = (16 \times 70) + (16 \times 5)
]
[
16 \times 70 = 1,120
]
[
16 \times 5 = 80
]
[
1,120 + 80 = 1,200
]

✅ Total T-shirts = 1,200

Step 3: Divide equally among the 4 sizes

There are 4 sizes: S, M, L, XL

[
1,200 ÷ 4 = ?
]

Work it out:

4 goes into 12 → 3 times
→ 3 × 4 = 12, remainder 0
Bring down the next zeros → 00

[
1,200 ÷ 4 = 300
]

✅ Each size has 300 shirts

Step 4: Write the final answer

Each size (Small, Medium, Large, and Extra Large) has 300 shirts.

✅ There are 300 Large T-shirts in the shipment.

Step 5: Reasonableness check

• Total shirts = 1,200

• 4 sizes × 300 each = 1,200 ✔️

• The math makes sense.

✅ Answer is reasonable.

Final Answer:
There are 300 Large T-shirts in the shipment.

500

A sports store received a shipment of soccer balls.
The shipment came in 18 boxes.
Each box contained 64 soccer balls.
The soccer balls come in 3 colors: red, blue, and green.
Each color has the same number of soccer balls.

✅ Step 1: Read and Understand

We know:

• 18 boxes

• 64 soccer balls per box

• 3 colors (equal amount each)

We need to find:
👉 How many red soccer balls there are.

✅ Step 2: Find total number of soccer balls

18×64=?18 \times 64 = ?18×64=?

Let’s break it apart (using distributive property):

18×64=(18×60)+(18×4)18 \times 64 = (18 \times 60) + (18 \times 4)18×64=(18×60)+(18×4) 18×60=1,08018 \times 60 = 1,08018×60=1,080 18×4=7218 \times 4 = 7218×4=72 1,080+72=1,1521,080 + 72 = 1,1521,080+72=1,152

✅ Total = 1,152 soccer balls

✅ Step 3: Divide equally among 3 colors

1,152÷3=?1,152 ÷ 3 = ?1,152÷3=?

Let’s divide:

3 goes into 11 → 3 times (3 × 3 = 9) → remainder 2
Bring down 5 → 25 → 3 × 8 = 24 → remainder 1
Bring down 2 → 12 → 3 × 4 = 12 → remainder 0

✅ 1,152 ÷ 3 = 384

✅ Step 4: Write your statement

Each color (red, blue, and green) has 384 soccer balls.

✅ There are 384 red soccer balls in the shipment.

✅ Step 5: Check reasonableness

• 3 × 384 = 1,152 ✔️

• Matches the total, so it’s reasonable.

✏️ Final Answer:

There are 384 red soccer balls in the shipment