Converting Fractions and Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 5 math, what decimal is equivalent to the fraction 3/8 when divided exactly?
A) 0.375
B) 0.38
C) 0.625
D) 0.83
Grade 5 students divide 3 by 8 to get 0.375; this is a terminating decimal that converts exactly.
2. A Grade 5 student divides 1 by 3 and finds the decimal continues forever. Which decimal best represents 1/3?
A) 0.13
B) 0.3
C) About 0.333 repeating
D) 0.31
Grade 5 learners find 1 divided by 3 equals 0.333..., a repeating decimal that does not terminate.
3. In Grade 5, which statement comparing 0.4 and 2/5 is correct using equivalent fractions?
A) 0.4 is greater
B) 0.4 is less
C) They are equal
D) Cannot be compared
Grade 5 students convert 2/5 to 4/10, which equals 0.4, so 0.4 and 2/5 are equal.
4. A Grade 5 student converts 5/8 to a decimal using long division. What is the correct decimal value?
A) 0.58
B) 0.625
C) 0.85
D) 0.375
Grade 5 learners divide 5 by 8 to get 0.625, a terminating decimal equal to 5/8.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 5, when a student divides 3 by 8 using long division on the worksheet, the terminating decimal answer is 0.375 exactly.
Grade 5 students divide 3 by 8 to get 0.375, which terminates after three decimal places.
2. A Grade 5 learner converts 1/3 using division and writes the repeating decimal answer rounded to thousandths as 0.333 approximately.
Grade 5 students round the repeating decimal 0.333... to 0.333 at the thousandths place for 1/3.
3. Grade 5 learners compare 0.4 and 2/5 by converting 2/5 to tenths; both equal 4/10 as a fraction with denominator ten.
Grade 5 students convert 2/5 to 4/10, showing 0.4 and 2/5 are equivalent fractions.
4. When a Grade 5 student divides 5 by 8 carefully using long division steps, the resulting terminating decimal value is 0.625 exactly.
Grade 5 learners divide 5 by 8 to get 0.625, a terminating decimal equal to the fraction 5/8.
5. A Grade 5 student notices that 1/3 produces a repeating decimal while 3/8 produces a terminating decimal that ends after a few digits.
Grade 5 students learn 3/8 equals 0.375, which ends, so it is a terminating decimal, unlike 1/3.