Decimal Decoders Diagnostic Quiz
Module 1: Place Value Diagnostic
DECIMAL DECODERS DIAGNOSTIC
NAME:
DATE:
Objective: Complete each task below to unlock your place value decoder. Show all your thinking clearly. Do not use calculators.
PART 1 Visual Representations & Models
1. Shade the hundredths grid below to represent the decimal 0.45.
2 PTS
Self-Check Checklist:
- How many columns did you shade entirely?
- How many individual remaining squares did you shade?
- What fraction does this represent? ____ / 100
2. Which decimal value is represented by the shaded region on the thousandths strip below?
2 PTS
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
A. 0.036
B. 0.36
C. 3.60
D. 0.306
PART 2 Place Value Positions & Values
3. In the number 8.349, identify the position and value of each digit:
Digit 3
Place:
Value:
Digit 4
Place:
Value:
Digit 9
Place:
Value:
4. Complete the place value chart by writing the correct digits for the number “Fourteen and six hundred eight thousandths.”
3 PTS
Tens
Ones
Decimal
Tenths
Hundredths
Thousandths
•
DECIMAL DECODERS SERIES • CODES & SYSTEM PAGE 1 OF 2
Module 1: Place Value Diagnostic
DECIMAL DECODERS DIAGNOSTIC
SCORE: / 20
PART 3 Translating Between Forms
5. Write the decimal 12.045 in word form.
3 PTS
6. Translate “Seven hundred two and eighty-four thousandths” into standard form.
3 PTS
Standard Form:
PART 4 Expanded Form Mastery
7. Fill in the missing components to complete the expanded form of 5.309 using fractions or decimals.
2 PTS
\[ 5.309 = (5 \times 1) + \left(3 \times \frac{1}{10}\right) + \left(9 \times \text{__________}\right) \]
Write your final term here:
8. Match each Standard Form decimal with its correct Expanded Form representation. Draw a line to connect them.
3 PTS
① 4.205
② 4.025
③ 4.250
A. \((4 \times 1) + (2 \times 0.1) + (5 \times 0.01)\)
B. \((4 \times 1) + (2 \times 0.1) + (5 \times 0.001)\)
C. \((4 \times 1) + (2 \times 0.01) + (5 \times 0.001)\)
DECIMAL DECODERS SERIES • CODES & SYSTEM PAGE 2 OF 2
Decimal Decoders Visuals Worksheet
Module 1: Intervention Level 1
VISUALIZING THOUSANDTHS
NAME:
DATE:
The Micro-Scope Concept: Zooming into 1 Thousandth
A tenth is 1 out of 10 equal parts. A hundredth is 1 out of 100 equal parts. A thousandth is 1 out of 1,000 equal parts. Think of dividing one single hundredth square into 10 microscopic strips!
1 Tenth
0.1 = \(\frac{1}{10}\)
1 Hundredth
0.01 = \(\frac{1}{100}\)
1 Thousandth
1/1000
0.001 = \(\frac{1}{1000}\)
STEP 1 Guided Visual Decoders
1. Look at the shade model below. Count the fully shaded columns (tenths) and squares (hundredths) to identify the decimal value.
TENTHS: 2 full columns (= 0.2)
HUNDREDTHS: 3 squares (= 0.03)
COMBINED EQUATION: 0.2 + 0.03 = 0.23 (Twenty-three hundredths)
STEP 2 Independent Practice & Coding Challenges
TASK 2.1
Shade the thousandths grid strip below to match the decimal value 0.58.
0.0 0.2 0.4 0.6 0.8 1.0
TASK 2.2
Decode the values of each diagram. Write the fraction and decimal for each shaded region.
A. Forty-two thousandths
How many tenths? 0
How many hundredths? 4
How many thousandths? 2
Fraction:
Decimal:
B. Seven hundred five thousandths
How many tenths?
How many hundredths?
How many thousandths?
Fraction:
Decimal:
TASK 2.3 • CRITICAL THINKING
A classmate says that 0.08 is larger than 0.125 because 8 is larger than 1. Explain with a drawing or words why they are incorrect.
DECIMAL DECODERS SERIES • CODES & SYSTEM LEVEL 1 INTERVENTION
