Multiple Choice

1. If you divide one whole object into 10 equal parts, what fraction represents one of those parts?

   $1/10$

   $1/100$

   $10/1$

   $1/2$

2. A whole garden is divided into 10 equal rows. If you plant carrots in 4 of those rows, which fraction shows the part of the garden planted with carrots?

   $4/100$

   $4/10$

   $10/4$

   $1/4$

3. When modeling fractions, the fraction $3/10$ tells us that we have selected 3 parts out of how many total equal parts?

   1 part

   3 parts

   100 parts

   10 parts

4. Which visual model correctly represents the concept of $1/10$?

   A shape divided into 2 equal pieces, with 1 shaded.

   A shape divided into 100 equal pieces, with 1 shaded.

   A shape divided into 5 equal pieces, with 1 shaded.

   A shape divided into 10 equal pieces, with 1 shaded.

5. If you have a group of 10 students, and 7 of them wear hats, which fraction shows the portion of students wearing hats?

   $10/7$

   $3/10$

   $7/10$

   $7/1$

6. When writing a number with a decimal point, the position immediately to the right of the decimal point is called the:

   Hundredths place

   Tenths place

   Tens place

   Ones place

7. The place value that corresponds to the denominator of 10 in a fraction is known as the:

   Hundredths place

   Whole number place

   Tenths place

   Thousands place

8. In the decimal $0.8$, which place value does the digit '8' occupy?

   Ones place

   Tens place

   Tenths place

   Hundredths place

9. The digit '0' in the number $0.6$ is in the ones place. What does this indicate about the value?

   There are six whole units.

   There are ten whole units.

   There are zero whole units.

   There are 6 hundredths.

10. To show the fraction $1/10$ using place value notation, we place the digit '1' in the:

    Ones column

    Tenths column

    Hundreds column

    Tens column

11. Which decimal notation correctly represents the fraction $1/10$?

    $10.0$

    $0.01$

    $1.0$

    $0.1$

12. How would you write the decimal $0.1$ as a fraction?

    $1/1$

    $1/100$

    $10/1$

    $1/10$

13. Which statement correctly shows that the fraction form and the decimal form represent the same value?

    $1/1 = 0.1$

    $10/1 = 0.1$

    $1/10 = 0.1$

    $1/10 = 1.0$

14. The decimal $0.4$ is read as "four tenths." Which fraction is equivalent to $0.4$?

    $4/10$

    $4/1$

    $1/4$

    $4/100$

15. Convert the fraction $8/10$ into its standard decimal form.

    $1.8$

    $0.8$

    $0.08$

    $8.0$

16. A student ate $0.2$ of a granola bar. What fraction describes the amount the student ate?

    $20/10$

    $1/2$

    $2/10$

    $2/100$

17. What is the decimal representation of the fraction $9/10$?

    $0.9$

    $1.9$

    $0.09$

    $9.0$

18. If you shade $6/10$ of a hundreds grid (treating it as divided into 10 equal columns), which decimal is represented by the shaded area?

    $0.06$

    $1.6$

    $6.0$

    $0.6$

19. The decimal $0.5$ is equivalent to which fraction?

    $5/100$

    $5/10$

    $1/5$

    $5/1$

20. Sam walked $1/10$ of a mile. How would this distance be written using a decimal?

    $1.0$

    $0.01$

    $0.1$

    $10.1$

21. What is the fraction form of the decimal $0.3$?

    $\frac{3}{10}$

    $\frac{3}{100}$

    $3 \frac{1}{10}$

    $\frac{1}{3}$

22. Express the fraction $\frac{7}{10}$ in standard decimal form.

    $0.7$

    $70.0$

    $7.0$

    $0.77$

23. Write the decimal $4.5$ as a mixed number.

    $\frac{54}{10}$

    $\frac{4}{5}$

    $4 \frac{5}{10}$

    $4 \frac{5}{100}$

24. Convert the mixed number $6 \frac{1}{10}$ into its equivalent decimal form.

    $6.1$

    $61.0$

    $6.01$

    $1.6$

25. A student incorrectly wrote $0.9$ as $\frac{9}{1}$. Which option shows the correct fraction equivalent?

    $\frac{9}{10}$

    $9.0$

    $\frac{9}{100}$

    $\frac{10}{9}$

26. What is the decimal representation of the improper fraction $\frac{12}{10}$?

    $1.2$

    $12.0$

    $2.1$

    $0.12$

27. Which decimal is equivalent to eight tenths?

    $0.8$

    $8.0$

    $8.10$

    $0.08$

28. If you have $9$ whole objects and $3$ parts of a tenth, which decimal represents the total amount?

    $90.3$

    $9.3$

    $3.9$

    $9.30$

29. Express the mixed number $10 \frac{4}{10}$ in standard decimal notation.

    $4.10$

    $10.4$

    $1.04$

    $10.04$

30. Which fraction correctly represents the value of $5.0$ written using a denominator of $10$?

    $\frac{50}{100}$

    $\frac{5}{10}$

    $\frac{50}{10}$

    $5 \frac{1}{10}$

31. Convert $0.1$ into a fraction.

    $1 \frac{1}{10}$

    $\frac{10}{1}$

    $\frac{1}{1}$

    $\frac{1}{10}$

32. A number is described as $2$ wholes and $7$ tenths. What is its standard mixed number form?

    $2.7$

    $\frac{27}{10}$

    $7 \frac{2}{10}$

    $2 \frac{7}{10}$

33. Which fraction, written with a denominator of $10$, is equivalent to $1$ whole?

    $\frac{1}{10}$

    $\frac{10}{10}$

    $1.0$

    $\frac{10}{1}$

34. What decimal is formed by the expression $3 + \frac{9}{10}$?

    $9.3$

    $39.0$

    $0.39$

    $3.9$

35. The decimal $15.6$ is equivalent to which mixed number?

    $6 \frac{15}{10}$

    $15 \frac{6}{100}$

    $\frac{156}{1}$

    $15 \frac{6}{10}$

36. If $x = 0.2$, what is $x$ written as a fraction?

    $\frac{2}{1}$

    $2.0$

    $\frac{20}{10}$

    $\frac{2}{10}$

37. Convert the mixed number $8 \frac{8}{10}$ to its standard decimal representation.

    $88.0$

    $8.8$

    $0.88$

    $8.08$

38. Which of the following fractions represents a value less than $0.5$?

    $\frac{7}{10}$

    $\frac{3}{10}$

    $5 \frac{1}{10}$

    $\frac{5}{10}$

39. When converting the decimal $1.0$ into a fraction using only tenths, which form is mathematically correct?

    $10 \frac{1}{10}$

    $10.0$

    $\frac{10}{10}$

    $\frac{1}{10}$

40. A fraction is written as $\frac{P}{Q}$. If this fraction is equivalent to the decimal $0.4$, what must the denominator, $Q$, be?

    $4$

    $1$

    $100$

    $10$

Numerical

41. A whole rectangle is divided into 10 equal sections. If you shade 1 section, the fraction shaded is $1/10$. How many total equal sections are needed to represent the whole?

42. The fraction $3/10$ is represented by a visual model divided into 10 parts. How many of those parts are shaded to show the value of $3/10$?

43. We know that the fraction $1/10$ is equivalent to the decimal $0.1$. What is the digit in the tenths place for the decimal $0.1$?

44. If you have the fraction $9/10$, what is the numerator of this fraction?

45. The extended place value system uses the decimal point to separate the ones place from the tenths place. When we write the decimal $0.6$, what digit is placed in the tenths column?

46. The decimal $0.8$ represents the fraction $8/10$. How many tenths are represented by the decimal $0.8$?

47. When converting the fraction $4/10$ to a decimal, we write $0.4$. If the fraction was $5/10$, what digit would be in the tenths place of the decimal equivalent?

48. Imagine a number line divided into 10 equal sections between $0$ and $1$. If you land on the mark representing $2/10$, how many total equal parts of $1/10$ have you counted from $0$?

49. The decimal $0.7$ is equivalent to the fraction $7/10$. If you are asked to write the numerator of this fraction, what number would you write?

50. If a student divides a cookie into 10 equal parts and eats 1 part, they have eaten $1/10$. If they eat 10 total parts, how many whole cookies (in terms of quantity of cookies) did they eat?