Decimal Expedition Worksheet
Decimal Expedition
Standard 6.NS.B.3 • Fluently Add and Subtract Multi-Digit Decimals
Part 1: Precision Drills
Name:
Date:
Class/Period:
1. Line Up: Align decimal points strictly in vertical columns.
2. Annex Zeros: Fill empty place values with placeholder zeros.
3. Compute: Add or subtract as whole numbers, regrouping carefully.
4. Drop Point: Bring the decimal point straight down into the answer.
1
Alignment Fluency • Compute Each Sum or Difference
A. Tenths & Hundredths
42.75
+ 18.49
B. Regroup Across Zeros
70.00
- 34.28
C. Unequal Places
105.600
+ 48.735
D. Sub-Thousandths
83.410
- 27.658
2
Setup & Solve • Rewrite Vertically, Annex Zeros, and Calculate
Show all alignment work
5. \( 14.9 + 8.625 \) Sum
Answer:
6. \( 91.3 - 45.82 \) Difference
Answer:
7. \( 230.54 + 67.8 \) Sum
Answer:
8. \( 50 - 16.74 \) Whole Number Alert
Answer:
3
Field Telemetry Bug Report • Spot the Alignment Error
Error Analysis
Cadence's Calculation
24.5
+ 3.18
27.68
Problem: \( 24.5 + 3.18 \)
What specific mathematical mistake did Cadence make?
Correct Alignment & Sum:
Correct Answer:
Grade 6 Mathematics • Decimal Operations Page 1 of 2 Turn over for Part 2: Expedition Logistics
Part 2: Base Camp Field Logistics
Multi-Step Real-World Applications & Decimal Reasoning
Student Name:
The Mount Denali Research Team requires precise telemetry for supply cargo, elevation tracking, and fuel reserves. Compute each problem with decimal precision.
4
Expedition Applications • Solve and Label Answers with Units
9. Cargo Pack Weights: The supply sled carries three packs weighing 34.75 kg, 112.4 kg, and 8.625 kg. What is the total mass of all three equipment packs combined?
Addition
Show Vertical Alignment & Work:
Total Mass:
kg
10. Altimeter Descent: At High Ridge, the GPS altimeter read an elevation of exactly 3,200 meters. After descending to Valley Camp, the altimeter showed 1,845.68 meters. Exactly how many meters did the team descend?
Subtraction
Show Regrouping Across Zeros:
Elevation Descent:
m
11. Generator Fuel (Two-Step Challenge): Base camp started the week with 85.0 L of fuel. The team added 43.75 L from reserve tanks, and later burned 94.38 L during a storm. How many liters of fuel remain?
2-Step Problem
Step 1: Total Fuel Available
Step 2: Subtract Fuel Burned
Fuel Remaining:
liters
5
Expedition Mystery Vault • Fill in the Missing Digits [ ? ]
Puzzle A: Addition Determine the two missing digits:
4 [ ? ] . 6 5
+ 1 9 . [ ? ] 8
6 7 . 0 3
Puzzle B: Subtraction Determine the two missing digits:
[ ? ] 0 . 0 0
- 1 4 . 6 [ ? ]
3 5 . 3 7
6
Mathematical Discourse • Place Value Reasoning
Explain why annexing a zero to make 4.5 → 4.50 does not change its value, whereas appending a zero to make 45 → 450 does change its value. Reference place values in your response.
Grade 6 Mathematics • Decimal Operations Page 2 of 2 Expedition Complete
