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 fraction 45100 as a decimal is 0.045.
Corrected: The fraction 45100 as a decimal is 0.45.
The corrected sentence is: "The fraction 45100 as a decimal is 0.45.". The original sentence "The fraction 45100 as a decimal is 0.045." contained an error that needed to be fixed.
2. Fix the sentence:
The decimal 0.08 represents eight tenths.
Corrected: The decimal 0.08 represents eight hundredths.
The corrected sentence is: "The decimal 0.08 represents eight hundredths.". The original sentence "The decimal 0.08 represents eight tenths." contained an error that needed to be fixed.
3. Fix the sentence:
2.06 is greater than 2.6 because 06 has two digits.
Corrected: 2.6 is greater than 2.06 because 6 tenths is more than 0 tenths and 6 hundredths.
The corrected sentence is: "2.6 is greater than 2.06 because 6 tenths is more than 0 tenths and 6 hundredths.". The original sentence "2.06 is greater than 2.6 because 06 has two digits." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 7100 written as a decimal is 0.07.
7100 = 0.07 — the digit 7 goes in the hundredths place, with 0 holding the tenths place.
2. In the number 5.18, the digit 8 is in the hundredths place.
The second digit after the decimal point is in the hundredths place — 8 represents 8 hundredths.
3. The decimal 0.6 as a fraction with denominator 10 is 610.
0.6 = six tenths = 610.
4. Three quarters written as a dollar amount is $0.75.
Three quarters = 75 cents = 75100 of a dollar = $0.75.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write 30100 as a decimal and explain your steps.
Sample answer: 30100 = 0.30 or 0.3. Since the denominator is 100, the digits go in the tenths and hundredths places.
30100: the 3 goes in the tenths place and 0 in hundredths — 0.30 = 0.3.
2. Why does the decimal 0.2 equal the fraction 20100?
Sample answer: 0.2 is two tenths, and 210 equals 20100 when you multiply both the numerator and denominator by 10.
Equivalent fractions: 210 × 1010 = 20100, so 0.2 = 0.20 = 20100.