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 decimal 0.7 means seven hundredths.
Corrected: The decimal 0.7 means seven tenths.
The corrected sentence is: "The decimal 0.7 means seven tenths.". The original sentence "The decimal 0.7 means seven hundredths." contained an error that needed to be fixed.
2. Fix the sentence:
The fraction 310 written as a decimal is 0.03.
Corrected: The fraction 310 written as a decimal is 0.3.
The corrected sentence is: "The fraction 310 written as a decimal is 0.3.". The original sentence "The fraction 310 written as a decimal is 0.03." contained an error that needed to be fixed.
3. Fix the sentence:
0.50 is greater than 0.5 because 50 is more than 5.
Corrected: 0.50 is equal to 0.5 because both represent five tenths.
The corrected sentence is: "0.50 is equal to 0.5 because both represent five tenths.". The original sentence "0.50 is greater than 0.5 because 50 is more than 5." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In the number 4.63, the digit 6 is in the tenths place.
The first digit after the decimal point is in the tenths place — 6 represents 6 tenths.
2. The fraction 910 written as a decimal is 0.9.
910 = 0.9 — the numerator goes in the tenths place.
3. The decimal 0.25 is read as twenty-five hundredths.
0.25 means 25 parts out of 100 — twenty-five hundredths.
4. One dime is worth $0.10 of a dollar.
One dime = 10 cents = 10100 of a dollar = $0.10.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain why 0.4 and 0.40 have the same value.
Sample answer: Both equal four tenths because adding a zero in the hundredths place does not change the value.
Trailing zeros after a decimal digit do not change the value of the number.
2. How is the tenths place different from the hundredths place?
Sample answer: The tenths place is the first digit after the decimal point and is worth 110, while the hundredths place is the second digit and is worth 1100.
Each decimal place represents a different fraction: tenths = 110, hundredths = 1100.