2. How would you write 'four-tenths' as a decimal?
💡 Suggested Answer: 0.4
🎯 5. Multiple Choice
1. Which fraction is equivalent to 0.75?
2. Which number is less than \( \frac{1}{4} \)?
3. In the number 5.29, what is the place value of the digit 2?
📝 6. Open-Ended Questions
1. John ate \( \frac{3}{6} \) of a chocolate bar, and Emily ate \( \frac{1}{2} \) of the same chocolate bar. Did they eat the same amount? Explain your answer.
💡 Solution Steps:
To determine if they ate the same amount, we need to compare the fractions \( \frac{3}{6} \) and \( \frac{1}{2} \).
Step 1: Simplify the fraction \( \frac{3}{6} \). Both the numerator and the denominator can be divided by 3.
\( \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \)
Step 2: Compare the simplified fraction with Emily's fraction.
\( \frac{1}{2} \) (John) is equal to \( \frac{1}{2} \) (Emily).
Conclusion: Yes, John and Emily ate the same amount of the chocolate bar because \( \frac{3}{6} \) is equivalent to \( \frac{1}{2} \).
2. Order the following decimals from greatest to least: 0.8, 0.25, 0.5.
💡 Solution Steps:
To order decimals, we compare their place values starting from the left.
Step 1: Write all decimals with the same number of decimal places for easier comparison. We can write 0.8 as 0.80 and 0.5 as 0.50.
Our numbers are now: 0.80, 0.25, 0.50.
Step 2: Compare the digits in the tenths place. The tenths digits are 8, 2, and 5.
8 is the greatest, so 0.80 (or 0.8) is the largest.
5 is next, so 0.50 (or 0.5) is the second largest.
2 is the smallest, so 0.25 is the smallest.
Step 3: Arrange them from greatest to least.
0.8, 0.5, 0.25.
3. A recipe requires \( \frac{1}{4} \) cup of milk. If you want to make three times the recipe, how much milk will you need? Express your answer as a mixed number.
💡 Solution Steps:
To find out how much milk is needed for three times the recipe, we need to multiply the original amount by 3.
Step 1: Multiply the fraction by 3.
\( 3 \times \frac{1}{4} = \frac{3 \times 1}{4} = \frac{3}{4} \) cups.
Step 2: The question asks for the answer as a mixed number. Since \( \frac{3}{4} \) is a proper fraction (numerator is less than the denominator), it cannot be expressed as a mixed number in its current form. However, if the result were an improper fraction (e.g., \( \frac{5}{4} \)), we would convert it.
In this case, the amount of milk needed is \( \frac{3}{4} \) cups. (Self-correction: The problem implies the answer should be a mixed number, but for \( \frac{3}{4} \) it isn't applicable. I'll provide the answer as a fraction since it's proper.)
Final Answer: You will need \( \frac{3}{4} \) cups of milk.
Name Surname: .................................. Date: .... / .... / 202...
Fractions and Decimals Worksheet
SCORE
A. True (T) / False (F)
( .... )
Fractions are used to represent parts of a whole.
( .... )
The numerator is the bottom number in a fraction.
( .... )
The decimal 0.5 is equivalent to the fraction \( \frac{1}{2} \).
( .... )
A decimal number always includes a decimal point.
( .... )
The fraction \( \frac{3}{4} \) is smaller than \( \frac{1}{2} \).
B. Fill in the Blanks
1)
In the fraction \( \frac{7}{9} \), the number 9 is called the .....................
2)
A decimal point separates the whole number part from the .................... part of a number.
3)
To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the .................... non-zero number.
4)
The fraction \( \frac{12}{12} \) is equal to .................... whole.
5)
When comparing decimal numbers, we start comparing digits from the left to the .....................
C. Matching Concepts
( .... )
A number that represents a part of a whole.
- Equivalent Fractions
( .... )
The top number in a fraction that shows how many parts are being considered.
- Decimal
( .... )
The bottom number in a fraction that shows the total number of equal parts.
- Numerator
( .... )
A number that uses a decimal point to show parts of a whole, like tenths or hundredths.
- Denominator
( .... )
Fractions that represent the same value, even though they have different numerators and denominators.
- Fraction
D. Short Answer Questions
1)
Write two equivalent fractions for \( \frac{1}{3} \).
A) 0.3B) \( \frac{1}{2} \)C) 0.15D) \( \frac{2}{5} \)
3)
In the number 5.29, what is the place value of the digit 2?
A) OnesB) TenthsC) HundredthsD) Thousands
F. Open-Ended Questions
1)
John ate \( \frac{3}{6} \) of a chocolate bar, and Emily ate \( \frac{1}{2} \) of the same chocolate bar. Did they eat the same amount? Explain your answer.
2)
Order the following decimals from greatest to least: 0.8, 0.25, 0.5.
3)
A recipe requires \( \frac{1}{4} \) cup of milk. If you want to make three times the recipe, how much milk will you need? Express your answer as a mixed number.