Part 1: Superhero Word Problems (Estimation & Reasonableness)
Instructions for Students: Read the problem. Use rounding or compatible numbers to estimate the answer. Then, decide if the character’s thinking is reasonable (makes sense) or unreasonable (doesn't make sense).
Problem 1: The Heavy Lift
Captain Strong needs to clear debris from a bridge. He lifts a bus weighing 4,800 lbs and a truck weighing 3,100 lbs. Captain Strong thinks, "I have lifted about 8,000 lbs total."
Question: Estimate the total weight by rounding to the nearest thousand. Is Captain Strong’s estimate reasonable?
Solution:
Round: Round 4,800 up to 5,000. Round 3,100 down to 3,000.
Estimate: $5,000 + 3,000 = 8,000$.
Reasonableness: Yes, it is reasonable. The actual sum is $7,900$, which is very close to his estimate of $8,000$.
Problem 2: The Speedster's Distance
The Blur ran 188 miles on Monday to stop a bank robbery and 215 miles on Tuesday to catch a falling plane. The Blur tells his sidekick, "I ran about 300 miles in total."
Question: Round to the nearest hundred to check the total. Is The Blur's statement reasonable?
Solution:
Round: Round 188 up to 200. Round 215 down to 200.
Estimate: $200 + 200 = 400$.
Reasonableness: No, it is unreasonable. The Blur actually ran closer to 400 miles. His guess of 300 miles is too low.
Problem 3: Gadget Budget
Techno-Girl has $90 in her gadget budget. She wants to buy a Grappling Hook for $48 and a Smoke Pellet Belt for $35. She thinks, "I definitely have enough money to buy both."
Question: Estimate the total cost by rounding to the nearest ten. Is her thinking reasonable?
Solution:
Round: Round $48 up to $50. Round $35 up to $40.
Estimate: $\$50 + \$40 = \$90$.
Reasonableness: Yes, it is reasonable. Since $90 is exactly her budget, and we rounded up (meaning the real price is slightly lower), she will have enough money. (Actual cost: $83).
Problem 4: The Ice Wall
Frost-Boy creates an ice wall that is 72 feet long. Magma-Man melts 29 feet of it. Frost-Boy says, "Oh no! Now there is only about 10 feet of wall left!"
Question: Estimate the difference by rounding to the nearest ten. Is Frost-Boy’s statement reasonable?
Solution:
Round: Round 72 down to 70. Round 29 up to 30.
Estimate: $70 - 30 = 40$.
Reasonableness: No, it is unreasonable. There is about 40 feet of wall left, not 10. Frost-Boy is panicking!
Problem 5: Flight Time
Star-Glider flew for 43 minutes in the morning and 18 minutes in the evening. She wants to know if she flew for more than an hour (60 minutes). She estimates: "40 plus 20 is 60. I flew for about an hour."
Question: Use estimation to check her math. Is her estimate reasonable?
Solution:
Round: Round 43 down to 40. Round 18 up to 20.
Estimate: $40 + 20 = 60$.
Reasonableness: Yes, it is reasonable. Since 60 minutes equals one hour, her estimate that she flew for about an hour is correct.
Part 2: Understanding Estimation Quiz
Name: ____________________
Date: _____________________
Circle the best answer for each question.
1. What does it mean if a math answer is "reasonable"?
A) It is the exact correct answer.
B) It makes sense and is close to the exact answer.
C) It is a wrong answer that is far away.
D) It involves superheroes.
2. Round 34 to the nearest ten.
A) 30
B) 35
C) 40
D) 100
3. Round 680 to the nearest hundred.
A) 600
B) 650
C) 700
D) 1000
4. Electro-Spark needs to charge his battery to 100%. He is at 48%. About how much more does he need? (Estimate 100 - 48).
A) About 10%
B) About 50%
C) About 80%
D) About 20%
5. Which pair of numbers sums closest to 100?
A) 20 + 20
B) 90 + 90
C) 48 + 51
D) 10 + 50
6. Wonder-Kid lifts a rock weighing 515 lbs. He puts it on a scale that says "200 lbs." Is the scale reasonable?
A) Yes, 200 is close to 515.
B) No, 200 is much lower than 515.
7. Elastic-Lad stretches 12 meters, then stretches another 19 meters. He says, "I stretched about 30 meters total." Is this reasonable?
A) Yes (10 + 20 = 30)
B) No (10 + 10 = 20)
8. If you calculate $315 + 498$ and get an answer of $2,000$, is your answer reasonable?
A) Yes, addition makes numbers bigger.
B) No, $300 + 500$ is only $800$. The answer is way too high.
9. Why do we use estimation?
A) To make the math harder.
B) To quickly check if our exact answer makes sense.
C) To avoid doing homework.
10. Shadow-Walker has 22 smoke bombs. He finds 31 more. About how many does he have?
A) About 40
B) About 50
C) About 70
D) About 10
Part 3: Quiz Answer Key & Explanations
B) It makes sense and is close to the exact answer.
Explanation: Reasonableness is about checking if your answer is logical and "in the ballpark," not necessarily perfect.
A) 30
Explanation: The number 4 is in the ones place. Since 4 is less than 5, we round down to 30.
C) 700
Explanation: The number 8 is in the tens place. Since 8 is 5 or greater, we round up to the next hundred (700).
B) About 50%
Explanation: Round 48 to 50. $100 - 50 = 50$.
C) 48 + 51
Explanation: Round 48 to 50. Round 51 to 50. $50 + 50 = 100$. This is the closest pair.
B) No, 200 is much lower than 515.
Explanation: 200 is not close to 500. The scale is likely broken.
A) Yes (10 + 20 = 30)
Explanation: Round 12 to 10. Round 19 to 20. $10 + 20 = 30$. His estimate matches.
B) No, $300 + 500$ is only $800$.
Explanation: This teaches students to spot "impossible" answers. 2,000 is far too high for these numbers.
B) To quickly check if our exact answer makes sense.
Explanation: Estimation is a tool for error-checking.
B) About 50
Explanation: Round 22 to 20. Round 31 to 30. $20 + 30 = 50$.
Would you like me to generate a specific worksheet layout for these problems, or create a new set involving multiplication estimation?
Here is a specific layout designed to be copied and pasted into a document editor (like Word or Google Docs). It is formatted to look like a printable worksheet with space for student work.
🦸 SUPERHERO ESTIMATION ACADEMY 🦸
Name: ____________________________ Date: ___________ Score: _______/15
PART 1: MISSION TRAINING (Word Problems)
Instructions:
Read the story.
Estimate the answer by rounding the numbers.
Decide if the superhero's thinking is Reasonable (Makes Sense) or Unreasonable (Does Not Make Sense).
1. THE HEAVY LIFT
Captain Strong lifts a bus (4,800 lbs) and a truck (3,100 lbs). He thinks, "I have lifted about 8,000 lbs total."
Your Task: Round to the nearest thousand to check his math.
| Show Your Estimation Work Here: | Is Captain Strong Reasonable? |
[ ] YES, that is reasonable. [ ] NO, that is unreasonable. |
2. THE SPEEDSTER'S DISTANCE
The Blur ran 188 miles on Monday and 215 miles on Tuesday. He thinks, "I ran about 300 miles total."
Your Task: Round to the nearest hundred to check his math.
| Show Your Estimation Work Here: | Is The Blur Reasonable? |
[ ] YES, that is reasonable. [ ] NO, that is unreasonable. |
3. GADGET BUDGET
Techno-Girl has $90. She wants a Hook for $48 and Smoke Pellets for $35. She thinks, "I definitely have enough money to buy both."
Your Task: Round to the nearest ten to check her math.
| Show Your Estimation Work Here: | Is Techno-Girl Reasonable? |
[ ] YES, that is reasonable. [ ] NO, that is unreasonable. |
4. THE ICE WALL
Frost-Boy makes a 72 ft wall. Magma-Man melts 29 ft of it. Frost-Boy cries, "Oh no! Only about 10 ft is left!"
Your Task: Round to the nearest ten to check his math.
| Show Your Estimation Work Here: | Is Frost-Boy Reasonable? |
[ ] YES, that is reasonable. [ ] NO, that is unreasonable. |
5. FLIGHT TIME
Star-Glider flew 43 minutes in the morning and 18 minutes at night. She says, "I flew for about one hour (60 minutes)."
Your Task: Round to the nearest ten to check her math.
| Show Your Estimation Work Here: | Is Star-Glider Reasonable? |
[ ] YES, that is reasonable. [ ] NO, that is unreasonable. |
(Page Break Ideal Here)
PART 2: THE FINAL MISSION (Quiz)
Instructions: Circle the best answer for each question.
1. What does it mean if a math answer is "reasonable"?
A) It is the exact correct answer.
B) It makes sense and is close to the exact answer.
C) It is a wrong answer that is far away.
2. Round 34 to the nearest ten.
A) 30
B) 35
C) 40
3. Round 680 to the nearest hundred.
A) 600
B) 700
C) 1000
4. Electro-Spark needs 100% power. He has 48%. About how much more does he need?
A) About 10%
B) About 50%
C) About 80%
5. Which pair of numbers sums closest to 100?
A) 20 + 20
B) 90 + 90
C) 48 + 51
6. Wonder-Kid lifts a 515 lb rock. The scale says "200 lbs." Is the scale reasonable?
A) Yes, 200 is close to 515.
B) No, 200 is much lower than 515.
7. Elastic-Lad stretches 12 meters, then 19 meters. He says, "I stretched about 30 meters total." Is this reasonable?
A) Yes ($10 + 20 = 30$)
B) No ($10 + 10 = 20$)
8. If you calculate $315 + 498$ and get an answer of $2,000$, is your answer reasonable?
A) Yes.
B) No, the answer is way too high.
9. Why do we use estimation?
A) To make the math harder.
B) To quickly check if our exact answer makes sense.
C) To avoid doing homework.
10. Shadow-Walker has 22 smoke bombs. He finds 31 more. About how many does he have?
A) About 40
B) About 50
C) About 70
(Teacher Cut-Off Line)
🔑 TEACHER ANSWER KEY
Part 1: Word Problems
Yes, Reasonable. ($5,000 + 3,000 = 8,000$)
No, Unreasonable. ($200 + 200 = 400$, not 300)
Yes, Reasonable. ($50 + 40 = 90$)
No, Unreasonable. ($70 - 30 = 40$, not 10)
Yes, Reasonable. ($40 + 20 = 60$)
Part 2: Quiz
B
A
B
B
C
B
A
B
B
B
Would you like me to create a "Certificate of Completion" for the students who finish the worksheet?
Here is a Certificate of Completion designed to match the Superhero Estimation theme. You can copy and paste this text into a document editor (like Word or Google Docs), center the text, and add a fun border to make it look official!
⚡ OFFICIAL S.E.A. CERTIFICATE ⚡
(Superhero Estimation Academy)
🏆 CERTIFICATE OF HEROISM 🏆
THIS HONOR IS PRESENTED TO AGENT:
_________________________________
FOR OUTSTANDING BRAVERY IN MATHEMATICS
By successfully completing the "Reasonableness Training Mission," this agent has proven they can defeat difficult numbers, rescue the correct answers, and use the Super Power of Estimation to solve problems!
"With great math power, comes great reasonableness."
DATE OF MISSION: __________________
COMMANDER’S SIGNATURE: __________________
⭐ ⚡ ⭐ ⚡ ⭐
🎨 Tips for Printing:
Paper: Print on cardstock or colored paper (yellow or light blue looks great for superheroes).
Fonts: If you are pasting this into a Word doc, change the "Certificate of Heroism" title to a font like Impact or Comic Sans to give it that comic book feel.
Stickers: Add a gold star sticker or a "Great Job" stamp in the bottom corner for an extra reward.
Would you like me to create a "Remedial Mission" (easier practice sheet) for students who might struggle with the first quiz?
Here is a Remedial Mission worksheet.
Design Strategy:
Scaffolding: It breaks problems down into smaller steps (Step 1: Round, Step 2: Add).
Visuals: It uses text-based number lines to help with rounding.
Simpler Numbers: It focuses on rounding to the nearest ten to build confidence before moving to hundreds.
🛡️ SIDEKICK TRAINING CAMP: Level 1 🛡️
Name: ________________________ Date: ___________
MISSION GOAL: Learn to make smart guesses (Estimation) to help the Superheroes!
PART 1: THE ROUNDING RADAR
Rule: Look at the number in the "ones" place (the last number).
If it is 0, 1, 2, 3, or 4 $\rightarrow$ Stay on the floor! (Round Down)
If it is 5, 6, 7, 8, or 9 $\rightarrow$ Climb the vine! (Round Up)
Practice 1:
Hero-Boy has 32 shields. Is 32 closer to 30 or 40?
30 --- 31 --- [32] --- 33 --- 34 --- 35 --- 36 --- 37 --- 38 --- 39 --- 40
Circle the answer: 32 is closer to [ 30 ] or [ 40 ]
Practice 2:
Super-Girl has 68 capes. Is 68 closer to 60 or 70?
60 --- 61 --- 62 --- 63 --- 64 --- 65 --- 66 --- 67 --- [68] --- 69 --- 70
Circle the answer: 68 is closer to [ 60 ] or [ 70 ]
PART 2: GUIDED ESTIMATION (Step-by-Step)
Instructions: Fill in the boxes to solve the problem.
1. THE POWER ORBS
Iron-Lad collects 22 red orbs and 49 blue orbs. About how many orbs does he have?
Step 1: Round 22 to the nearest ten $\rightarrow$ [ _____ ]
Step 2: Round 49 to the nearest ten $\rightarrow$ [ _____ ]
Step 3: Add your two rounded numbers:
[ _____ ] + [ _____ ] = _______
2. THE CITY MILES
The Flash runs 53 miles in the morning and 31 miles at night. About how many miles did he run?
Step 1: Round 53 to the nearest ten $\rightarrow$ [ _____ ]
Step 2: Round 31 to the nearest ten $\rightarrow$ [ _____ ]
Step 3: Add your two rounded numbers:
[ _____ ] + [ _____ ] = _______
PART 3: DOES IT MAKE SENSE? (Reasonableness)
Instructions: Read the hero's guess. Check the "Yes" or "No" box.
1. THE JUMP
Frog-Man jumps 11 feet and then 12 feet.
He says: "I jumped about 100 feet!"
Think: $10 + 10 = 20$. Is 20 close to 100?
Is Frog-Man Reasonable?
[ ] YES (Good guess)
[ ] NO (Crazy guess)
2. THE COST
A hero mask costs $19. A cape costs $21.
Bat-Boy says: "I need about $40 to buy both."
Think: Round 19 to 20. Round 21 to 20. Is $20 + 20 = 40$?
Is Bat-Boy Reasonable?
[ ] YES (Good guess)
[ ] NO (Crazy guess)
(Teacher Cut-Off Line)
🔑 REMEDIAL KEY
Part 1:
30
70
Part 2:
The Power Orbs:
Round 22 $\rightarrow$ 20
Round 49 $\rightarrow$ 50
$20 + 50 = 70$
The City Miles:
Round 53 $\rightarrow$ 50
Round 31 $\rightarrow$ 30
$50 + 30 = 80$
Part 3:
NO (20 is not close to 100).
YES ($20 + 20 = 40$).
Would you like an "Advanced Mission" (enrichment) for students who found the first quiz too easy?
Here is the Advanced Mission worksheet.
Design Strategy:
Three-Number Addition: Requires holding more information in working memory.
Critical Thinking: Asks students to analyze why an estimate might be risky (Overestimate vs. Underestimate).
Error Analysis: Instead of just solving, students must find the mistake in a character's logic.
🌟 OMEGA LEVEL HERO TRIALS (Enrichment) 🌟
Agent Name: ________________________ Clearance Level: TOP SECRET
WARNING: These problems are for advanced heroes only. They require logic, strategy, and complex estimation.
PART 1: THE TRIPLE THREAT
Mission: Titan-Man is holding up a collapsing bridge. He has to hold three falling cars at once.
Car A: 1,245 lbs
Car B: 3,890 lbs
Car C: 915 lbs
Titan-Man can hold 6,000 lbs maximum. He thinks: "I'll round to the nearest thousand. I should be safe!"
1. Estimate the total weight by rounding to the nearest thousand:
Car A ($\approx$ ________) + Car B ($\approx$ ________) + Car C ($\approx$ ________) = __________
2. Is Titan-Man safe based on your estimate?
[ ] YES
[ ] NO
3. CRITICAL THINKING: Now, try rounding to the nearest hundred. Does this change the safety of the mission? Explain why.
______________________________________________________________________
______________________________________________________________________
PART 2: THE "SAFE" GUESS (Over vs. Under)
Mission: Speed-Star has $20.00 to buy lunch for the team.
Pizza: $12.85
Soda: $6.45
She wants to make sure she has enough money before she gets to the register.
4. Should Speed-Star round these prices UP or DOWN to be safe?
Option A: Round Down ($12 + $6)
Option B: Round Up ($13 + $7)
5. Why did you choose that option?
______________________________________________________________________
PART 3: THE DETECTIVE (Find the Error)
Mission: The villain "Dr. Chaos" tried to solve a math problem, but his answer is unreasonable. You must prove him wrong.
The Problem: $345 + 298 =$ ?
Dr. Chaos's Answer: "The answer is 500."
6. Write a sentence explaining to Dr. Chaos why his answer is impossible without finding the exact number. (Hint: Look at the hundreds place).
______________________________________________________________________
______________________________________________________________________
(Teacher Cut-Off Line)
🔑 OMEGA KEY (Teacher Guide)
Part 1: The Triple Threat
Rounding to 1000s: $1,000 + 4,000 + 1,000 = 6,000$.
Safe? Technically "Yes" based on this estimate, but it's dangerously close.
Critical Thinking: When rounding to hundreds: $1,200 + 3,900 + 900 = 6,000$.
Teacher Note: The actual sum is $6,050$. This teaches that rounding to larger place values (thousands) decreases accuracy. The student should realize that rounding 915 up to 1,000 added "fake weight," masking the fact that the real weight is actually over the limit.
Part 2: The Safe Guess
4. Option B (Round Up).
5. Reason: When you have a limited amount of money, you should always overestimate the cost (round up) to make sure you don't run out of money at the register. Rounding down ($12+6 = 18$) makes it look like you have enough, but the real cost ($19.30) is very close to the limit ($20).
Part 3: The Detective
6. Explanation: $300 + 200$ equals 500 all by itself. Since there are still tens and ones left to add (45 and 98), the answer must be greater than 600. Therefore, 500 is impossible.
Would you like a "Classroom Activity Guide" to go with these worksheets (e.g., a game or group activity)?
Here is a complete Classroom Activity Guide designed to get students out of their seats and applying their estimation skills collaboratively.
🦸 SUPERHERO ESTIMATION: CLASSROOM ACTIVITY GUIDE 🦸
Objective: Students will practice rapid estimation and determining reasonableness through physical movement and competitive play.
ACTIVITY 1: The "Reasonableness" Radar (Whole Class)
Type: Kinetic / Active Listening
Time: 10–15 Minutes
Goal: To physically identify if a math statement is "Reasonable" (Heroic Truth) or "Unreasonable" (Villainous Lie).
Setup:
Designate the Left Side of the room as the "HERO BASE" (Reasonable).
Designate the Right Side of the room as the "VILLAIN LAIR" (Unreasonable).
The Teacher plays "The Commissioner" standing in the middle.
How to Play:
The Call: The Commissioner reads a "Mission Report" (a math statement).
The Move: Students have 10 seconds to mentally estimate and run/walk to the correct side of the room.
The Reveal: Ask a student on the correct side to explain why they moved there.
Mission Reports (Script):
"I had 48 power rings and found 51 more. I have about 100 rings total."
Answer: HERO BASE (Reasonable: $50 + 50 = 100$).
"The villain ran 120 miles north and 120 miles south. He ran about 100 miles total."
Answer: VILLAIN LAIR (Unreasonable: $120 + 120$ is closer to 240).
"A jet costs $4,100. A tank costs $3,900. To buy both, I need about $8,000."
Answer: HERO BASE (Reasonable).
"I fought 19 robots on Monday and 18 on Tuesday. I fought about 20 robots total."
Answer: VILLAIN LAIR (Unreasonable: Sum is closer to 40).
ACTIVITY 2: "Rescue Range" (Small Groups)
Type: Card Game
Time: 15–20 Minutes
Goal: Use estimation to build a sum that falls within a specific target range.
Materials:
Decks of cards (Remove Face Cards, or verify: Ace=1, Jack=0. Or use index cards with numbers 0–9).
"Rescue Target" sheet (or write on board).
Setup:
Students get into groups of 2–4.
Deal 4 cards to each player.
How to Play:
The Target: The teacher writes a Target Number on the board (e.g., "50").
The Build: Each student looks at their 4 cards. They must choose two cards to form a 2-digit number, and one card to be a single digit number (e.g., Card 4, Card 2, Card 8 $\rightarrow$ 42 + 8).
The Estimate: Players estimate if their equation sums close to the Target Number (50).
The Rescue:
If their estimate (rounding to nearest ten) hits the target (e.g., $42 \rightarrow 40$, $8 \rightarrow 10$, $40+10=50$), they yell "CIVILIAN SAVED!"
They earn 1 point.
New Round: Teacher changes the Target Number (e.g., "90", "30", "100").
Differentiation (Easy Mode): Use two single-digit numbers ($6 + 8 \approx 15$ range).
Differentiation (Hard Mode): Use two 2-digit numbers ($34 + 68 \approx 100$).
ACTIVITY 3: "The Estimator's Toolkit" (Partner Work)
Type: Creative / Analytical
Time: 20 Minutes
Goal: To create a visual reference tool for rounding.
Instructions:
Have students create their own "Hero Gadget" (Anchor Chart) on construction paper.
Draw a number line from 0 to 100 (counting by tens).
Label the "Tens" as Safe Zones.
Draw numbers ending in 1, 2, 3, 4 sliding back to the previous Safe Zone.
Draw numbers ending in 5, 6, 7, 8, 9 climbing up to the next Safe Zone.
Fun Twist: They must name their gadget (e.g., "The Round-O-Matic 3000" or "The Truth Detector").
🗣️ Teacher Discussion Prompts (Wrap-Up)
After the activities, gather on the rug and ask:
"In the 'Reasonableness Radar' game, how did you decide which way to move so fast?" (Encourage answers about looking at the first digit).
"Why would a superhero need to estimate? Why not just use a calculator?" (Answers: No time during a battle, need to make quick decisions, battery might die).
"Is it better to overestimate (guess high) or underestimate (guess low) when buying super-gear?"
This completes your Superhero Unit! Would you like me to generate a "Parent Letter" explaining this math unit so families can practice at home?
Here is a "Parent Letter" designed to explain the unit. It keeps the fun Superhero theme while clearly explaining the educational goals to families.
[Date]
Dear Families / The "Sidekick Support Squad,"
Our class has just begun an exciting new math mission! Over the next few weeks, we are working on a critical skill called Estimation and Reasonableness—but we are doing it with a twist. We are training to be "Math Superheroes!"
🎯 What are we learning?
Instead of just finding the exact answer, students are learning how to use Estimation to check their work.
Rounding: Changing numbers to the nearest 10 or 100 to make them easier to calculate mentally (e.g., turning 32 into 30).
Reasonableness: Looking at an answer and asking, "Does this make sense?"
🦸 Why use a Superhero theme?
We are using a "Superhero Academy" context to make abstract math concrete.
If a hero needs to jump 50 feet, and they only jump 10, that is an "Unreasonable" result (and a splash in the water!).
By treating math errors as "Villainous Traps," students become less afraid of making mistakes and more focused on using logic to find the truth.
🏠 How You Can Help at Home (Sidekick Missions)
You don’t need a workbook to practice estimation! Here are three easy ways to build this "Super Power" in daily life:
1. The Grocery Store Guess
While shopping, look at prices. Have your child round them to the nearest dollar or ten cents.
Example: "This cereal is $3.89. Is that closer to $3.00 or $4.00?"
Challenge: "If we buy the milk ($3) and the bread ($2), about how much will it cost?"
2. The "Reasonable" Travel Time
When driving or walking somewhere, ask your child to estimate the arrival time.
Example: "The GPS says 18 minutes. Is that closer to 10 minutes or 20 minutes? So, about what time will we get there?"
3. The Homework Check
If you see your child struggling with a math problem, don't solve it for them immediately. Instead, ask:
"Before you add these big numbers, what is your estimate?"
"If you added two small numbers and got a huge answer, is that reasonable?"
Thank you for being such a supportive team. Together, we can help your child feel powerful and confident in math!
Sincerely,
[Teacher Name]
[Grade Level / Class Name]
(Optional: Cut and Return)
⚡ SIDEKICK PLEDGE ⚡
We have received the Math Mission Update. We are ready to help our student practice their estimation powers at home!
Student Name: __________________________________
Parent/Guardian Signature: __________________________________
Our Favorite Number to Round is: __________________

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