6.NOS.3
Lesson 2-12-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
2.12 · Part II
Second Practice Form · Independent Application and Spiral Review
Multiply Decimals · Product
■ ADVANCED CONCEPT ANCHOR: 2.12 · Part II
1Multiplying Decimals
2The Structural Procedure
- Multiply the numbers as if they were whole numbers (ignore decimals during multiplication)
- Count the total number of decimal places in both factors
- Place the decimal point in the product so it has that same total number of decimal places
3Mathematical Word Bank
- Multiply Decimals (Multiplicar decimales) — Find the product of decimals, then use place value to place the decimal point.
- Product (Producto) — The answer when you multiply.
- Decimal point (Punto decimal) — The dot that splits the whole number from the part after it.
- Estimate (Estimar) — A close answer you get by rounding first.
- Place value (Valor posicional) — What a digit is worth based on where it sits in a number.
- Decimal places (Cifras decimales) — How many digits come after the decimal point.
4Watch out
- A common mistake in Multiply Decimals is counting decimal places from only one factor instead of adding the decimal places from BOTH factors. For example, in 0.4 × 0.06, a student multiplies 4 × 6 = 24, then places the decimal point using just one factor's place count (1 place), writing 0.24 instead of the correct answer: 0.4 has 1 decimal place and 0.06 has 2 decimal places, for a total of 3, so 24 becomes 0.024. Before you submit, count the decimal places in EACH factor separately and add them together — that total is how many decimal places belong in your final answer.
SECTION 1
COMPUTATION & PROCEDURAL FLUENCY
[Show Every Step]
-
1 MULTIPLE CHOICE
What is 3.4 × 2.6?
- A8.84
- B88.4
- C0.884
- D8.48
Show each partial product, then add them -
2 MULTIPLE CHOICE
What is 0.7 × 1.5?
- A1.05
- B10.5
- C0.105
- D1.50
Show each partial product, then add them -
3 MULTIPLE CHOICE
What is 5.3 × 4?
- A21.2
- B2.12
- C212
- D20.12
Show each partial product, then add them
SECTION 2
REAL-WORLD CONTEXTS & PROBLEM SOLVING
[Applications]
-
4 MULTIPLE CHOICE
(Lesson 2.5) A data set runs from a least value of 12 to a greatest value of 30. What is the range?
- A18
- B30
- C12
- D21
Put the data in orderWork -
5 MULTIPLE CHOICE
(Lesson 2.5) On a box plot, Q1 = 20 and Q3 = 36. What is the interquartile range?
- A16
- B56
- C28
- D36
Put the data in orderWork -
6 MULTIPLE CHOICE
The truck sells 2.5 pounds of fries, and each pound earns $1.20 in profit. What is the total profit? (2.5 × 1.2)
- A$3.00
- B$30.00
- C$0.30
- D$3.70
Show each partial product, then add them
SECTION 3
MATHEMATICAL WRITING & ERROR ANALYSIS
[Reasoning & Critique]
-
7 OPEN RESPONSE
A driver buys 9.5 gallons of gas at $3.40 per gallon. Show how to find the total cost. Use estimation to check if your answer is reasonable.
✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0)
SMP.3 / Proof & Justification
Writing Task: Justify why your mathematical solution is accurate and complete.
C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.