Decimals and Place Value — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. What is the next number in the pattern: 0.10, 0.20, 0.30, ___?
A) 0.31
B) 0.40
C) 0.03
D) 0.35
The correct answer is B) 0.40. What is the next number in the pattern: 0.10, 0.20, 0.30, ___ — the answer is 0.40.
2. Which fraction is NOT equal to 0.5?
A) 510
B) 50100
C) 5100
D) 12
The correct answer is C) 5100. Which fraction is NOT equal to 0.5 — the answer is 5100.
3. The expanded form 3 ones + 0 tenths + 8 hundredths equals which decimal?
A) 3.80
B) 0.38
C) 3.08
D) 30.8
The correct answer is C) 3.08. The expanded form 3 ones + 0 tenths + 8 hundredths equals which decimal — the answer is 3.08.
4. Which statement is true?
A) 0.7 < 0.07 because 7 = 7
B) 0.07 > 0.7 because 07 has two digits
C) 0.7 > 0.07 because 7 tenths > 7 hundredths
D) 0.7 = 0.07 because both have the digit 7
The correct answer is C) 0.7 > 0.07 because 7 tenths > 7 hundredths. Which statement is true — the answer is 0.7 > 0.07 because 7 tenths > 7 hundredths.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Write the next two decimals in the pattern: 0.15, 0.30, 0.45, 0.60, 0.75.
The pattern adds 0.15 each time (0.15, 0.30, 0.45), so the next value is 0.45 + 0.15 = 0.60.
2. The expanded form of 4.09 is 4 ones + 0 tenths + 9 hundredths.
The answer is 9 because in 4.09, the 0 sits in the tenths place and the 9 sits in the hundredths place, giving 4 ones + 0 tenths + 9 hundredths.
3. Write a fraction with denominator 100 that equals 0.7: 70 100 .
The answer is 70 because 0.7 equals 7 tenths, and converting 710 to hundredths means multiplying by 1010 to get 70100.
4. The digit 0 in 5.01 means there are zero tenths.
"Tenths" is correct because the first digit after the decimal point is always the tenths place, and in 5.01 that digit is 0, meaning there are no tenths.
5. Rewrite 6 tenths + 14 hundredths as a single decimal: 0.74.
6 tenths equals 60 hundredths, and adding 14 more hundredths gives 74 hundredths total, which is written as 0.74.