Number Exploder Worksheet
Digit Demolition Lab: Activity 1
NUMBER EXPLODER
Mastering Expanded Form & Notation up to 6 Digits
Name:
Date:
Site Score: ________ / 100
The Place Value Grid
THOUSANDS PERIOD
ONES PERIOD
Hundred Thousands 100,000
Ten Thousands 10,000
Thousands 1,000
Hundreds 100
Tens 10
Ones 1
Walkthrough
Demolishing the Number: 427,305
1. Expanded Form (Sum of the values of each digit)
400,000 + 20,000 + 7,000 + 300 + 5
2. Expanded Notation (Digit times its place value)
(4 × 100,000) + (2 × 10,000) + (7 × 1,000) + (3 × 100) + (0 × 10) + (5 × 1)
Notice how the placeholder 0 is shown as (0 × 10) in expanded notation but left out of expanded form!
LEVEL 1 The Breakdown Challenge
Write both formats for each standard number.
01 42,751
Expanded Form:
Expanded Notation:
02 185,093
Expanded Form:
Expanded Notation:
03 609,418
Expanded Form:
Expanded Notation:
DIGIT DEMOLITION WORKBOOK • PAGE 1 OF 2 Secure Blueprint
Digit Demolition Lab: Activity 2
THE RECONSTRUCTION ZONE
STATION: RE-BUILD
LEVEL 2 Rebuild the Numbers
Look at the exploded parts and reconstruct them back into a Standard Form number. Look out for empty place values!
QUESTION 04
\(300,000 + 50,000 + 4,000 + 800 + 20 + 9\)
Standard Form:
QUESTION 05
\((7 \times 100,000) + (2 \times 10,000) + (9 \times 1,000) + (5 \times 100) + (3 \times 10) + (1 \times 1)\)
Standard Form:
QUESTION 06 (TRAP!)
\(900,000 + 6,000 + 70 + 4\)
Watch the zeroes!
QUESTION 07 (TRAP!)
\((2 \times 100,000) + (4 \times 1,000) + (8 \times 100) + (5 \times 1)\)
Watch the zeroes!
LEVEL 3 Demolition Site Investigator
Found the Error?
Wrecking Ball Will tried to write the number 408,350 in expanded notation. He submitted this breakdown: (4 × 100,000) + (8 × 10,000) + (3 × 100) + (5 × 10)
His Mistake:
Correct Notation:
BONUS The Master Blueprint Case
Solve the Mystery Code
- I am a 6-digit number.
- My hundred-thousands digit is half of 12.
- My expanded form includes: 40,000 + 800 + 2.
- My thousands place has a value of 3 × 1,000.
- In expanded notation, my tens place is 0 × 10.
CODE DETECTED:
,
Fill in the digit spaces above!
DIGIT DEMOLITION WORKBOOK • PAGE 2 OF 2 Secure Blueprint
Tonnage Tracker Worksheet
Digit Demolition Lab: Activity 3
TONNAGE TRACKER
Comparing Multi-Digit Whole Numbers up to the Millions
Name:
Date:
Site Score: ________ / 100
Supervisor's Guide: How to Compare Large Numbers
To compare mega loads, line up the place values and compare from Left to Right:
Line them up:
Millions Place
4,382,109
4,389,012
Scan Left to Right:
- Millions: 4 = 4
- H-Thousands: 3 = 3
- T-Thousands: 8 = 8
- Thousands: 2 < 9 (A difference!)
LEVEL 1 The Scale Showdown
Compare using \(<\), \(>\), or \(=\).
SCALE A 538,204
SCALE B 583,204
SCALE A 2,450,183
SCALE B 2,405,183
SCALE A 7,829,000
SCALE B 7,829,000
SCALE A 901,482
SCALE B 901,480
SCALE A 4,128,506
SCALE B 4,218,506
SCALE A 6,000,000
SCALE B 599,999
Supervisor's Analysis
Site Engineer Carla says that 8,452,000 is less than 845,200 because 452 is the same but the second number has fewer zeroes at the end. Is she correct? Why or why not?
DIGIT DEMOLITION WORKBOOK • PAGE 1 OF 2 Secure Blueprint
Digit Demolition Lab: Activity 4
FLEET SORTING GRID
STATION: SORT-DECK
LEVEL 2 Fleet Dispatch Sort (Least to Greatest)
Order the given machinery serial loads from least to greatest. Write the numbers in the cargo boxes below.
FLEET FILE #07 (DIFFICULT!)
2,456,801 • 2,465,018 • 2,456,081
<
<
FLEET FILE #08 (THREE DIFFERENT MILLIONS)
4,812,000 • 1,950,400 • 6,302,150
<
<
LEVEL 3 High Tonnage Priority (Greatest to Least)
Order the cargo weights from greatest to least. Heavy cargo goes first!
CARGO DECK #09
5,091,822 • 5,901,000 • 5,091,802
>
>
CARGO DECK #10 (THREE DIFFERENT MILLIONS)
9,250,800 • 3,400,120 • 7,198,350
>
>
CHALLENGE Site Supervisor Dilemma
Demolition Team Alpha has three loaded haulers with different site tonnage. Hauler 1 weighs 3,425,800 lbs, Hauler 2 weighs 3,452,000 lbs, and Hauler 3 weighs 3,425,080 lbs.
Order Haulers from HEAVIEST to LIGHTEST:
