1. The decimal \(0.5\) is equivalent to the fraction \(1/2\).
2. The decimal \(0.10\) is the same as the fraction \(1/10\).
3. The decimal \(0.3\) means three hundredths.
4. To convert \(0.7\) to a fraction, you write \(7/10\).
5. The decimal \(0.25\) is equivalent to the fraction \(1/4\).
✏️ 2. Fill in the Blanks
1. The decimal \(0.6\) can be read as six .
2. When converting a decimal like \(0.4\) to a fraction, the denominator is usually .
3. The decimal \(0.07\) represents seven .
4. To write \(0.9\) as a fraction, we place 9 over .
5. A decimal with two digits after the decimal point has a denominator of when written as a fraction.
🔗 3. Matching
« Separates the whole number part from the fractional part.
« The first digit to the right of the decimal point.
« The second digit to the right of the decimal point.
« A way to represent parts of a whole.
« One tenth.
✍️ 4. Short Answer Questions
1. How would you write \(0.8\) as a fraction?
💡 Suggested Answer: \(0.8\) can be written as \(8/10\).
2. Explain in your own words what the decimal \(0.03\) means.
💡 Suggested Answer: \(0.03\) means three parts out of one hundred, or three hundredths.
🎯 5. Multiple Choice
1. Which fraction is equivalent to \(0.7\)?
2. What is \(0.2\) written as a fraction?
3. The decimal \(0.05\) is equal to which fraction?
📝 6. Open-Ended Questions
1. Convert \(0.4\) to a fraction. Show your steps.
💡 Solution Steps:
Step 1: Identify the place value of the last digit. The digit 4 is in the tenths place. Step 2: Write the number after the decimal point as the numerator. So, the numerator is 4. Step 3: Write the place value (tenths) as the denominator. Tenths means the denominator is 10. Step 4: Combine them to form the fraction. So, \(0.4 = 4/10\).
2. Write \(0.15\) as a fraction. Explain how you got your answer.
💡 Solution Steps:
To write \(0.15\) as a fraction, I look at the last digit, which is 5. It is in the hundredths place. This means the decimal represents 15 hundredths. So, I write 15 as the numerator and 100 as the denominator. The fraction is \(15/100\).
3. A student says that \(0.6\) is the same as \(6/100\). Is the student correct? Explain why or why not.
💡 Solution Steps:
The student is incorrect. The decimal \(0.6\) means six tenths because the digit 6 is in the tenths place. Therefore, \(0.6\) should be written as \(6/10\). The fraction \(6/100\) represents six hundredths, which would be written as \(0.06\) in decimal form.
Name Surname: .................................. Date: .... / .... / 202...
Decimals to Fractions Worksheet
SCORE
A. True (T) / False (F)
( .... )
The decimal \(0.5\) is equivalent to the fraction \(1/2\).
( .... )
The decimal \(0.10\) is the same as the fraction \(1/10\).
( .... )
The decimal \(0.3\) means three hundredths.
( .... )
To convert \(0.7\) to a fraction, you write \(7/10\).
( .... )
The decimal \(0.25\) is equivalent to the fraction \(1/4\).
B. Fill in the Blanks
1)
The decimal \(0.6\) can be read as six .....................
2)
When converting a decimal like \(0.4\) to a fraction, the denominator is usually .....................
3)
The decimal \(0.07\) represents seven .....................
4)
To write \(0.9\) as a fraction, we place 9 over .....................
5)
A decimal with two digits after the decimal point has a denominator of .................... when written as a fraction.
C. Matching Concepts
( .... )
Separates the whole number part from the fractional part.
- Decimal Point
( .... )
The first digit to the right of the decimal point.
- Fraction
( .... )
The second digit to the right of the decimal point.
- Hundredths Place
( .... )
A way to represent parts of a whole.
- \(0.1\)
( .... )
One tenth.
- Tenths Place
D. Short Answer Questions
1)
How would you write \(0.8\) as a fraction?
2)
Explain in your own words what the decimal \(0.03\) means.
E. Multiple Choice Questions
1)
Which fraction is equivalent to \(0.7\)?
A) \(7/10\)B) \(7/100\)C) \(1/7\)D) \(70/10\)
2)
What is \(0.2\) written as a fraction?
A) \(2/100\)B) \(2/10\)C) \(1/2\)D) \(20/10\)
3)
The decimal \(0.05\) is equal to which fraction?
A) \(5/10\)B) \(50/100\)C) \(5/100\)D) \(1/5\)
F. Open-Ended Questions
1)
Convert \(0.4\) to a fraction. Show your steps.
2)
Write \(0.15\) as a fraction. Explain how you got your answer.
3)
A student says that \(0.6\) is the same as \(6/100\). Is the student correct? Explain why or why not.