Big Number Worksheet Big Number Basics
Multiplication & Division Workshop
Name:
Date:
Real-World Scenario: The Inventory Manager
"You are managing a warehouse that receives 145 crates of solar panels every month. Each crate contains 24 panels. To plan your storage, you need to know exactly how many panels arrive each month."
1
Scaling Up: Multi-Digit Multiplication
The Warehouse Order: Calculate the total number of solar panels (145 crates × 24 panels).
Show your work
Total Panels: ____________________
Payroll Calculation: A part-time technician works 156 hours this month at a rate of $28 per hour. What is their total gross pay?
Show your work
Total Gross Pay: ____________________
2
Breaking it Down: Multi-Digit Division
Resource Distribution: You have 1,350 safety vests that need to be distributed equally among 15 different construction sites. How many vests does each site receive?
Show your work
Vests per Site: ____________________
Monthly Budgeting: A small business has an annual equipment budget of $18,600. If they want to spend the same amount each month, what is their monthly budget?
Show your work
Monthly Budget: ____________________
Mastery Challenge
A shipping container holds 425 boxes. Each box weighs 12 pounds. If a forklift can carry 750 pounds per trip, how many trips will it take to empty the container?
Step 1: Total Weight
Step 2: Total Trips
Total Trips Needed: ____________________
Big Number Exit Ticket Exit Ticket
Lesson 1: Big Number Basics
Formative Assessment
Name:
Date:
1. A construction crew needs 42 bags of concrete for each of the 18 support pillars they are building. What is the total number of concrete bags required?
Answer: ____________________
2. A warehouse manager needs to sort 2,880 safety manuals into boxes. Each box holds 24 manuals. How many boxes will the manager need in total?
Answer: ____________________
Self-Reflection
On a scale of 1-5, how confident do you feel with these operations?
1 (Low) 2 3 4 5 (High)
Cents and Sense Worksheet Cents and Sense
Mastering Decimals in Daily Life
Name:
Date:
1
Unit Prices & Comparison
The Better Buy: At a supply store, a 5-gallon bucket of paint costs $82.45. A 1-gallon can costs $18.99. Calculate the unit price (price per gallon) for the 5-gallon bucket and determine which is the better value.
Show your work
5-Gallon Unit Price: $__________
Better Value: _______________
Precise Measurements: A machinist needs to cut three metal rods with lengths of 12.45 cm, 8.7 cm, and 15.025 cm. What is the total length of the rods combined?
Show your work
Total Length: ____________________ cm
2
Transactions & Adjustments
Fuel Efficiency: You fill your truck with 18.4 gallons of diesel. The current price is $3.89 per gallon. How much will this fill-up cost in total? (Round to the nearest cent).
Show your work
Total Cost: $____________________
Salary Split: A group of 4 freelance contractors earned a total project fee of $3,450.60. If they split the earnings exactly equally, how much does each person receive?
Show your work
Earnings per Person: $____________________
Practical Tip: The Decimal Rule
"When adding or subtracting, always line up the decimal points. When multiplying, count the total number of decimal places in your factors to place the point in your answer. In money, always round to two decimal places (the nearest penny) unless told otherwise."
Cents and Sense Exit Ticket Exit Ticket
Lesson 2: Cents and Sense
Formative Assessment
Name:
Date:
1. A restaurant bill totals $64.80. If three friends decide to split the bill exactly, how much should each person pay?
Answer: $____________________
2. You purchase 4.5 pounds of apples at $1.20 per pound. What is your total cost?
Answer: $____________________
Self-Assessment
Which decimal operation do you find the most challenging right now?
Adding / Subtracting
Multiplying
Dividing
Rounding
Part and Parcel Worksheet Part and Parcel
Foundations of Fractions
Name:
Date:
1
Measurements & Addition
The Carpenter's Project: A carpenter is joining two pieces of wood. The first piece is \( 5 \frac{3}{4} \) inches long, and the second piece is \( 8 \frac{1}{2} \) inches long. What is the total length of the wood when joined together?
Show your work
Total Length: ____________________ inches
Stock Inventory: A kitchen has \( 4 \frac{2}{3} \) cups of flour. If they use \( 1 \frac{3}{4} \) cups for a recipe, how much flour is remaining?
Show your work
Remaining Flour: ____________________ cups
2
Scaling & Distribution
Project Scaling: A recipe for a sealant covers \( 12 \frac{1}{2} \) square feet. You need to make \( \frac{3}{4} \) of a batch for a small repair. How many square feet will it cover?
Show your work
Area Covered: ____________________ sq ft
Fair Share: You have a \( 6 \frac{2}{3} \) pound block of industrial wax that needs to be divided into 5 equal portions. How heavy is each portion?
Show your work
Weight per Portion: ____________________ lbs
Addition Tip
Find a common denominator first.
Multiplication Tip
Multiply top × top, bottom × bottom.
Division Tip
Keep, Change, Flip the second fraction.
Part and Parcel Exit Ticket Exit Ticket
Lesson 3: Part and Parcel
Formative Assessment
Name:
Date:
1. A baker needs to make a double batch of bread. The original recipe calls for \( 2 \frac{1}{4} \) cups of water. How much water is needed for the double batch?
Answer: ____________________ cups
2. A piece of trim is \( 10 \frac{7}{8} \) inches long. You cut off \( 3 \frac{1}{2} \) inches. What is the length of the remaining piece?
Answer: ____________________ inches
Reflection
Which do you find easier: Adding fractions or Multiplying fractions? Why?
The Percentage Edge Worksheet The Percentage Edge
Finance & Data Precision
Name:
Date:
1
Calculating Taxes & Discounts
The Purchase Order: An office manager is ordering new chairs for $2,450. The sales tax rate is 8.5%. Calculate the total tax amount and the final cost of the chairs.
Show your work
Tax Amount: $__________
Total Cost: $__________
Seasonal Discount: A retail store is offering 35% off winter gear. A jacket costs $120. What is the discount amount and the new sale price?
Show your work
Discount Amount: $__________
Sale Price: $__________
2
Performance & Interest
Production Goal: A factory produced 480 units today. Their goal was 600 units. What percentage of the goal did they reach?
Show your work
Percentage Reached: ____________________ %
Small Business Loan: You take out a $5,000 loan for equipment. The simple annual interest rate is 6%. If you pay the loan back in one year, how much interest will you owe?
Show your work
Total Interest Owed: $____________________
The Percent Formula
A reliable way to solve any percent problem.
Part = Percent × Whole
The Percentage Edge Exit Ticket Exit Ticket
Lesson 4: The Percentage Edge
Formative Assessment
Name:
Date:
1. A laptop costs $850. If you receive a 15% employee discount, how much money will you save?
Savings: $____________________
2. Out of 200 surveyed employees, 160 said they would prefer a flexible work schedule. What percentage of employees prefer flexibility?
Answer: ____________________ %
Confidence Scale
"Percents are everywhere in life!"
Confused
1
2
3
4
5
Expert
Review Quiz Worksheet Final Skill Check
Real World Math Review Quiz
Name:
Date:
Part 1: Multi-Digit Operations
1. Inventory: A distributor delivers 235 cases of bottled water. Each case contains 36 bottles. How many bottles are delivered in total?
Total Bottles: ____________________
2. Distribution: 4,680 pounds of rice are distributed equally among 12 local food banks. How many pounds does each bank receive?
Pounds per Food Bank: ____________________
Part 2: Decimals & Currency
3. Best Buy: Brand A costs $45.60 for a pack of 3. Brand B costs $16.25 per cartridge. Which brand has the lower price per cartridge?
Lower Cost Brand: ____________________
4. Budgeting: You have $125.00. You buy a chair for $74.99 and a lamp for $22.50. How much money do you have left?
Remaining Balance: $____________________
Part 3: Fractions & Measurements
5. Carpentry: You have a board \( 12 \frac{5}{8} \) inches long. You cut off \( 4 \frac{3}{4} \) inches. What is the length of the remaining piece?
Remaining Length: ____________________ inches
6. Cooking: A recipe calls for \( 5 \frac{1}{2} \) cups of sugar. If you make \( 2 \frac{1}{2} \) times the recipe, how much sugar do you need?
Total Sugar: ____________________ cups
Part 4: Percentages & Finance
7. Retail: A smartphone is 25% off its original price of $640. What is the sale price?
Sale Price: $____________________
8. Goal Tracking: An employee completed 52 out of 80 tasked calls. What percentage of the goal is complete?
Percentage Completed: ____________________ %
Mastery Challenge: Small Business Launch
You buy tools costing $1,250. You put 20% down in cash and finance the rest.
A) How much was your down payment?B) If you pay the balance over 10 equal monthly payments, how much is each payment?
Part A Work
Part B Work
Down Payment: $________________
Monthly Payment: $________________
Big Number Slides Big Number Basics
Multiplication & Division in the Real World
Why Master Large Numbers?
Workplace Scaling
Calculating bulk orders, estimating project timelines, and managing large-scale logistics requires multiplying multi-digit values.
Financial Accuracy
Payroll, yearly budgeting, and revenue projections depend on accurate division and multiplication of large figures.
The Multiplication Mindset
1
Align digits by place value (ones, tens, hundreds).
2
Multiply each digit, regrouping (carrying) as needed.
3
Sum the partial products for the final result.
145
580 (145 × 4)
3,480
Strategic Division
Think: "How many times does the divisor fit into the first part of the dividend?"
"We aren't just doing math; we are distributing resources fairly."
1,350 ÷ 15 = 90
Resource Split
Quick Check
A courier service delivers 128 packages every day. How many packages do they deliver in 31 days?
A) 3,868
B) 3,968
C) 3,908
D) 4,068
Cents and Sense Slides Cents and Sense
Mastering the Power of the Point
Why Decimals?
Currency
Handling every cent accurately in transactions and payroll.
Precision
Technical measurements where units are broken down.
Value
Finding unit rates to discover the best deals.
Line It Up!
The most important rule: Align the decimal points vertically.
Use "placeholder zeros" to keep your columns straight.
12.45 + 8.70 21.15
The Shift Strategy
1. Ignore the decimals and multiply like whole numbers.
2. Count total decimal places in factors.
3. Shift the decimal point from right to left.
Example
1.5 × 0.4
15 × 4 = 60
Ans: 0.60
The Contractor's Math
An electrician needs 12.5 meters of wire. The wire costs $2.40 per meter. What is total cost?
A) $28.00
B) $30.00
C) $32.50
D) $24.50
Part and Parcel Slides Part and Parcel
The Logic of Fractions
Fractions on the Job
Construction
Reading tape measures and cutting materials to precise fractional lengths.
Time Management
Calculating production time per unit and portioning shifts.
The Common Language
To add or subtract, fractions must have the same denominator .
"Apples to apples, oranges to oranges."
\( \frac{3}{4} + \frac{1}{2} \)
becomes
\( \frac{3}{4} + \frac{2}{4} = \frac{5}{4} \)
Scaling Up & Down
×
Multiply: Numerator × Numerator, Denominator × Denominator.
÷
Divide: Use "Keep-Change-Flip". Multiply by the reciprocal.
\( \frac{2}{3} \div 4 \)
\( \frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = \frac{1}{6} \)
Worksite Logic
If a team completes \( \frac{1}{4} \) of a task every hour, how long will it take them to complete the entire job?
2 Hours
4 Hours
6 Hours
8 Hours
The Percentage Edge Slides The Percentage Edge
Finance, Data, and Decisions
Universal Language of Comparison
Portioning
Understanding exactly what slice of the pie you are looking at.
Growth
Measuring increases in prices, interest, or performance.
Economy
Calculating taxes, discounts, and commissions.
The Percent-to-Decimal Secret
Before you calculate, move the decimal two places to the left .
8.5% becomes 0.085
15% becomes 0.15
120% becomes 1.20
Think
"Per 100"
The Simple Interest Rule
Interest is the "rent" you pay for using money.
I = P × R × T
Interest = Principal × Rate × Time
Mental Math Tip
"To find 10% of any number, move the decimal one place to the left!"
Final Check
A store is having a 20% off sale. If a shirt costs $45, how much money do you save?
A) $9.00
B) $20.00
C) $36.00
D) $5.00
Big Number Answer Key Answer Key
Lesson 1: Big Number Basics
Teacher Resource
Worksheet: Scenarios
1. Warehouse Order (145 × 24) 3,480 panels
2. Payroll Calculation (156 × $28) $4,368
3. Resource Distribution (1,350 ÷ 15) 90 vests per site
4. Monthly Budgeting ($18,600 ÷ 12) $1,550 per month
Mastery Challenge:
Total Weight: 425 boxes × 12 lbs = 5,100 lbs
Total Trips: 5,100 lbs ÷ 750 lbs/trip = 6.8
Final Answer: 7 trips
Exit Ticket
1. Concrete Pillars (42 × 18) 756 bags
2. Safety Manuals (2,880 ÷ 24) 120 boxes
Cents and Sense Answer Key Answer Key
Lesson 2: Cents and Sense
Teacher Resource
Worksheet: Decimals
1. Unit Price Comparison
5-gallon bucket: $82.45 ÷ 5 = $16.49 per gallon
1-gallon can: $18.99 per gallon
Answer: 5-gallon bucket is the better value.
2. Metal Rods (12.45 + 8.7 + 15.025) 36.175 cm
3. Fuel Cost (18.4 × $3.89) $71.58
4. Salary Split ($3,450.60 ÷ 4) $862.65 per person
Exit Ticket
1. Bill Split ($64.80 ÷ 3) $21.60
2. Apple Purchase (4.5 × $1.20) $5.40
Part and Parcel Answer Key Answer Key
Lesson 3: Part and Parcel
Teacher Resource
Worksheet: Fractions
1. Carpenter's Project (\( 5 \frac{3}{4} + 8 \frac{1}{2} \))
\( 5 \frac{3}{4} + 8 \frac{2}{4} = 13 \frac{5}{4} \)
Answer: \( 14 \frac{1}{4} \) inches
2. Stock Inventory (\( 4 \frac{2}{3} - 1 \frac{3}{4} \))
\( 4 \frac{8}{12} - 1 \frac{9}{12} \rightarrow 3 \frac{20}{12} - 1 \frac{9}{12} \)
Answer: \( 2 \frac{11}{12} \) cups
3. Project Scaling (\( 12 \frac{1}{2} \times \frac{3}{4} \))
\( \frac{25}{2} \times \frac{3}{4} = \frac{75}{8} \)
Answer: \( 9 \frac{3}{8} \) square feet
4. Fair Share (\( 6 \frac{2}{3} \div 5 \))
\( \frac{20}{3} \times \frac{1}{5} = \frac{20}{15} \)
Answer: \( 1 \frac{1}{3} \) lbs
Exit Ticket
1. Double Batch (\( 2 \frac{1}{4} \times 2 \))
Answer: \( 4 \frac{1}{2} \) cups
2. Trim Cut (\( 10 \frac{7}{8} - 3 \frac{1}{2} \))
Answer: \( 7 \frac{3}{8} \) inches
The Percentage Edge Answer Key Answer Key
Lesson 4: The Percentage Edge
Teacher Resource
Worksheet: Percents
1. Purchase Order Tax ($2,450 × 0.085)
Tax Amount: $208.25
Answer: Total Cost $2,658.25
2. Seasonal Discount ($120 × 0.35)
Discount Amount: $42.00
Answer: Sale Price $78.00
3. Production Goal (480 ÷ 600)
\( 480 \div 600 = 0.80 \)
Answer: 80% reached
4. Business Loan Interest ($5,000 × 0.06 × 1)
Answer: $300 interest
Exit Ticket
1. Employee Discount ($850 × 0.15) $127.50 savings
2. Flexibility Survey (160 ÷ 200) 80%
Review Quiz Answer Key Answer Key
Final Skill Check: Review Quiz
Teacher Resource
1. Inventory (235 × 36)
235 × 30 = 7,050 | 235 × 6 = 1,410
Answer: 8,460 bottles
2. Distribution (4,680 ÷ 12)
Answer: 390 lbs per bank
3. Best Buy (Ink)
Pack A: $15.20/cart | Pack B: $16.25/cart
Answer: Brand A is lower
4. Budgeting
Spent: $97.49 | $125 - $97.49
Answer: $27.51 remaining
5. Carpentry (\( 12 \frac{5}{8} - 4 \frac{3}{4} \))
\( 12 \frac{5}{8} - 4 \frac{6}{8} = 11 \frac{13}{8} - 4 \frac{6}{8} \)
Answer: \( 7 \frac{7}{8} \) inches
6. Cooking (\( 5 \frac{1}{2} \times 2 \frac{1}{2} \))
\( \frac{11}{2} \times \frac{5}{2} = \frac{55}{4} \)
Answer: \( 13 \frac{3}{4} \) cups
7. Retail (25% off $640)
Discount: $160 | 640 - 160
Answer: $480.00
8. Goal (52 ÷ 80)
Answer: 65% complete
Mastery Challenge Solutions
Part A: 0.20 × $1,250 = $250.00
Part B: ($1,250 - $250) ÷ 10 = $100.00 per month
