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Decimals: Tenths and HundredthsFREEWorksheet Generator(Grade 4)

Decimals: Tenths and Hundredths worksheets (Grade 4) with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems.

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Set A • 10 Qs

PanMaths.comDecimals: Tenths and Hundredths Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.610=?100

Workspace:

2.15100=?

Workspace:

3.410+11100

= ______

Workspace:

4.810=?100

Workspace:

5.47100=?

Workspace:

6.110+39100

= ______

Workspace:

7.610=?100

Workspace:

8.510=?

Workspace:

9.210+39100

= ______

Workspace:

10.310=?100

Workspace:

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

1.610=?100

Ans: 60

1. Multiply denominator by 10 to reach 100: 10 × 10 = 100.

2. Multiply numerator by the same factor (10): 6 × 10 = 60.

3. Equivalent fraction: 6/10 = 60/100 (Missing numerator: 60) ✅

2.15100=?

Ans: 0.15

1. Recognize place value: The denominator 100 indicates hundredths (two places to the right of the decimal point).

2. Place the numerator in hundredths: 15/100 = 0.15.

3. Solution: 0.15 ✅

3.410+11100

= 51/100

1. Convert tenths to hundredths: 4/10 = (4 × 10)/(10 × 10) = 40/100.

2. Add fractions with like denominators: 40/100 + 11/100 = (40 + 11)/100 = 51/100.

3. Solution: 51/100 (in decimal form: 0.51) ✅

4.810=?100

Ans: 80

1. Multiply denominator by 10 to reach 100: 10 × 10 = 100.

2. Multiply numerator by the same factor (10): 8 × 10 = 80.

3. Equivalent fraction: 8/10 = 80/100 (Missing numerator: 80) ✅

5.47100=?

Ans: 0.47

1. Recognize place value: The denominator 100 indicates hundredths (two places to the right of the decimal point).

2. Place the numerator in hundredths: 47/100 = 0.47.

3. Solution: 0.47 ✅

6.110+39100

= 49/100

1. Convert tenths to hundredths: 1/10 = (1 × 10)/(10 × 10) = 10/100.

2. Add fractions with like denominators: 10/100 + 39/100 = (10 + 39)/100 = 49/100.

3. Solution: 49/100 (in decimal form: 0.49) ✅

7.610=?100

Ans: 60

1. Multiply denominator by 10 to reach 100: 10 × 10 = 100.

2. Multiply numerator by the same factor (10): 6 × 10 = 60.

3. Equivalent fraction: 6/10 = 60/100 (Missing numerator: 60) ✅

8.510=?

Ans: 0.5

1. Recognize place value: The denominator 10 indicates tenths (one place to the right of the decimal point).

2. Place the numerator in tenths: 5/10 = 0.5.

3. Solution: 0.5 ✅

9.210+39100

= 59/100

1. Convert tenths to hundredths: 2/10 = (2 × 10)/(10 × 10) = 20/100.

2. Add fractions with like denominators: 20/100 + 39/100 = (20 + 39)/100 = 59/100.

3. Solution: 59/100 (in decimal form: 0.59) ✅

10.310=?100

Ans: 30

1. Multiply denominator by 10 to reach 100: 10 × 10 = 100.

2. Multiply numerator by the same factor (10): 3 × 10 = 30.

3. Equivalent fraction: 3/10 = 30/100 (Missing numerator: 30) ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categorygrade-4

Grade LevelGrade 4

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.4.NF.C.5

Skills Practiced

✓ Decimals: Tenths and Hundredths

Key Strategies

🔟 Base-10 Scaling (10/10 Factor): Multiply both the numerator and denominator by 10 to convert tenths to hundredths: 7/10 = (7 × 10)/(10 × 10) = 70/100.
➕ Adding Tenths and Hundredths: Before adding 4/10 + 25/100, convert 4/10 into 40/100. Then combine numerators over the common denominator 100: 40/100 + 25/100 = 65/100.
🏷️ Place Value Columns: The first digit to the right of the decimal point is the tenths place (0.1 = 1/10), and the second digit is the hundredths place (0.01 = 1/100).
0️⃣ Trailing Zeros Meaning: Recognize that 0.7 and 0.70 represent the same value: 7 tenths is equal to 70 hundredths.

Related Worksheets

📄 Equivalent Fractions & SimplifyingView →📄 Comparing Unlike FractionsView →📄 Adding & Subtracting Like FractionsView →📄 Multiplying Fractions by Whole NumbersView →📄 Decimals on a Number LineView →📄 Comparing & Ordering DecimalsView →

📜 Standard: CCSS.MATH.CONTENT.4.NF.C.5🔗 CCSS.MATH.CONTENT.4.NF.C.6

Mastering Decimals: Tenths and Hundredths: Core Concepts & Mental Models

Understanding the relationship between tenths and hundredths is the cornerstone of decimal comprehension. Under CCSS 4.NF.C.5 and 4.NF.C.6, 4th graders learn to scale tenths to hundredths by multiplying by 10/10, add fractions like 3/10 + 4/100 = 34/100, and fluently represent these quantities in decimal notation (0.3 and 0.04).

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: Add: 3/10 + 42/100. Write the answer as both a fraction and a decimal.

Worked Solution: 1. Convert 3/10 to hundredths: (3 × 10) / (10 × 10) = 30/100. 2. Add with common denominator: 30/100 + 42/100 = 72/100. 3. Write in decimal notation: 72 hundredths = 0.72. Result = 72/100 or 0.72.

💡 Essential Strategies for Decimals: Tenths and Hundredths

🔟 Base-10 Scaling (10/10 Factor)

Multiply both the numerator and denominator by 10 to convert tenths to hundredths: 7/10 = (7 × 10)/(10 × 10) = 70/100.

➕ Adding Tenths and Hundredths

Before adding 4/10 + 25/100, convert 4/10 into 40/100. Then combine numerators over the common denominator 100: 40/100 + 25/100 = 65/100.

🏷️ Place Value Columns

The first digit to the right of the decimal point is the tenths place (0.1 = 1/10), and the second digit is the hundredths place (0.01 = 1/100).

0️⃣ Trailing Zeros Meaning

Recognize that 0.7 and 0.70 represent the same value: 7 tenths is equal to 70 hundredths.

⚠️ Common Mistakes & Teacher Fixes

⚠️Adding numerators without finding a common denominator (e.g., 3/10 + 4/100 = 7/110)

Why students stumble: Treating numerators and denominators as independent whole numbers and adding them straight across.

Teacher Fix: Convert tenths into hundredths first (3/10 = 30/100). The denominator remains 100: 30/100 + 4/100 = 34/100.

Example: 3/10 + 4/100 = 30/100 + 4/100 = 34/100 (not 7/110).

⚠️Writing single-digit hundredths as tenths (e.g., 6/100 = 0.6)

Why students stumble: Placing the digit in the tenths place instead of the hundredths place.

Teacher Fix: Remember hundredths take two decimal places. Use a zero placeholder: 6/100 = 0.06, whereas 6/10 = 0.60 = 0.6.

Example: 6/100 = 0.06; 6/10 = 0.6.

⚠️Thinking 0.4 is less than 0.25 because 4 is less than 25

Why students stumble: Comparing decimal digits as whole numbers without aligning place value columns.

Teacher Fix: Pad with a trailing zero to compare equivalent hundredths: 0.4 = 0.40, and 40 hundredths is greater than 25 hundredths.

Example: 0.4 = 0.40 > 0.25.

📖 Key Mathematical Vocabulary

Tenth

A fractional part representing 1 out of 10 equal parts of a whole (1/10 or 0.1).

Hundredth

A fractional part representing 1 out of 100 equal parts of a whole (1/100 or 0.01).

Decimal Point

The period used to separate the whole number part from the fractional parts in a number.

Equivalent Fraction

Fractions that represent the same value or proportion of a whole (such as 3/10 = 30/100).

❓ Frequently Asked Questions

How do you solve a decimals: tenths and hundredths problem step by step?

Here is a worked example: "Add: 3/10 + 42/100. Write the answer as both a fraction and a decimal.". Solution: 1. Convert 3/10 to hundredths: (3 × 10) / (10 × 10) = 30/100. 2. Add with common denominator: 30/100 + 42/100 = 72/100. 3. Write in decimal notation: 72 hundredths = 0.72. Result = 72/100 or 0.72.

What is the core learning objective for decimals: tenths and hundredths?

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, add two fractions with denominators 10 and 100, and use decimal notation for fractions with denominators 10 or 100. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.4.NF.C.5.

What is the most common mistake students make with decimals: tenths and hundredths?

A frequent pitfall is: "Adding numerators without finding a common denominator (e.g., 3/10 + 4/100 = 7/110)". Why students stumble: Treating numerators and denominators as independent whole numbers and adding them straight across. How to fix it: Convert tenths into hundredths first (3/10 = 30/100). The denominator remains 100: 30/100 + 4/100 = 34/100. (Example: 3/10 + 4/100 = 30/100 + 4/100 = 34/100 (not 7/110).)

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Every click of 'Generate New Worksheet' creates a completely fresh set of decimals: tenths and hundredths problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

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