Decimals and Place Value — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The expanded form of 0.47 is 4 ones + 7 tenths.
Corrected: The expanded form of 0.47 is 4 tenths + 7 hundredths.
The corrected sentence is: "The expanded form of 0.47 is 4 tenths + 7 hundredths." The error was wrong place value labels in expanded form: the original sentence "The expanded form of 0.47 is 4 ones + 7 tenths." needed to be fixed.
2. Fix the sentence:
A nickel is worth 0.50 of a dollar.
Corrected: A nickel is worth 0.05 of a dollar.
The corrected sentence is: "A nickel is worth 0.05 of a dollar." The error was wrong coin value: the original sentence "A nickel is worth 0.50 of a dollar." needed to be fixed.
3. Fix the sentence:
The decimal 0.02 means two tenths.
Corrected: The decimal 0.02 means two hundredths.
The corrected sentence is: "The decimal 0.02 means two hundredths." The error was wrong place value name: the original sentence "The decimal 0.02 means two tenths." needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The expanded form of 0.93 is 9 tenths + 3 hundredths.
"Hundredths" is correct because the 3 sits in the second place after the decimal point, which represents hundredths (parts out of 100).
2. Two quarters equal $0.50.
Two quarters equal $0.50 because each quarter is worth $0.25, and $0.25 + $0.25 = $0.50.
3. Write 0.16 in expanded form: 1 tenth + 6 hundredths.
The answer is 6 because in 0.16, the 1 is in the tenths place and the 6 is in the hundredths place, giving 1 tenth + 6 hundredths.
4. A penny is worth 1 hundredths of a dollar.
A penny is worth 1 hundredth of a dollar because it takes 100 pennies to make one whole dollar, so each penny is 1100 or $0.01.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write the expanded form of 2.35 and explain each part.
Sample answer: 2.35 = 2 ones + 3 tenths + 5 hundredths. The 2 is in the ones place, the 3 is in the tenths place, and the 5 is in the hundredths place.
A good answer includes: 2.35 = 2 ones + 3 tenths + 5 hundredths. The 2 is in the ones place, the 3 is in the tenths place, and the 5 is in the hundredths place.
2. How many pennies make the same amount as 0.37 of a dollar? Explain.
Sample answer: 37 pennies, because each penny is one hundredth of a dollar and 0.37 means 37 hundredths.
A good answer includes: 37 pennies, because each penny is one hundredth of a dollar and 0.37 means 37 hundredths.