The Best Free 7th Grade Math Resources: Complete List! — Mashup Math - Free Printable

The image you've shared is a promotional graphic advertising free 7th-grade math worksheets from the Eureka Math (also known as EngageNY) curriculum, which aligns with the Common Core Mathematics Curriculum. It showcases two sample worksheets:

1. Lesson 5 Problem Set (5·1) – Focuses on decimal numerals, place value, and expanded form.
2. Lesson 5 Sprint (5·3) – Practices subtracting fractions from whole numbers.

While the image doesn't contain a specific problem to solve, I can help explain how to approach the types of problems shown and provide solutions for sample questions from these worksheets.

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🔍 Let's Break Down the Types of Problems

#### ✔ Problem Set: Expressing Decimals
Example:
> a. Four thousandths → 0.004
> b. Twenty-four thousandths → ?

Solution:
- "Thousandths" means three decimal places.
- "Twenty-four thousandths" = 24 ÷ 1000 = 0.024

✔ So, answer: 0.024

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#### ✔ Expressing Numbers in Words
Example:
> a. 0.005 → ?

Solution:
- The digit 5 is in the thousandths place.
- So, 0.005 = five thousandths

✔ Answer: Five thousandths

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#### ✔ Place Value and Expanded Form
Example:
> Write 35.827 in expanded form.

Step-by-step:
- Tens: 3 → 3 × 10
- Ones: 5 → 5 × 1
- Tenths: 8 → 8 × 0.1 or 8 × (1/10)
- Hundredths: 2 → 2 × 0.01 or 2 × (1/100)
- Thousandths: 7 → 7 × 0.001 or 7 × (1/1000)

So:
> 35.827 = 3×10 + 5×1 + 8×(1/10) + 2×(1/100) + 7×(1/1000)
or
> 30 + 5 + 0.8 + 0.02 + 0.007

✔ Final Answer: 3×10 + 5×1 + 8×(1/10) + 2×(1/100) + 7×(1/1000)

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#### ✔ Subtracting Fractions from Whole Numbers
Example:
> 4 − ½ = ?

Strategy:
Convert the whole number into a mixed number with the same denominator.

- 4 = 3 + 1 = 3 + 2/2 = 3 2/2
- Now subtract: 3 2/2 − 1/2 = 3 1/2

✔ Answer: 3½

Another example:
> 3 − ⅔ = ?

- Convert 3 to 2 + 1 = 2 + 3/3 = 2 3/3
- Subtract: 2 3/3 − 2/3 = 2 1/3

✔ Answer: 2⅓

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🎯 Summary of Skills Covered:

| Skill | Description |
|------|-------------|
| Decimal Place Value | Understanding thousandths, hundredths, etc., and converting words to decimals. |
| Expanded Form | Writing numbers using multiplication by powers of ten or fractions. |
| Fraction Subtraction | Subtracting fractions from whole numbers using regrouping (e.g., borrowing). |

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💡 Tips for Solving These Problems:

1. For decimals: Remember that "thousandths" = 3 decimal places, "hundredths" = 2, etc.
2. For expanded form: Use place value chart to break down each digit.
3. For fraction subtraction: Always convert the whole number into a mixed number with the same denominator before subtracting.

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✔ Where to Find These Free Resources:

These worksheets are part of the Eureka Math / EngageNY curriculum, available for free at:
👉 [https://www.engageny.org](https://www.engageny.org)

You can search for:
- "Grade 7 Module 5 Lesson 5"
- "Eureka Math Grade 7"

They offer:
- Problem Sets
- Sprints (timed practice)
- Homework
- Teacher guides

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Would you like me to generate a full solution key for one of these worksheets or create similar practice problems? Let me know!