Connect Decimals and Fractions - 4th Grade Math

1. What fraction with denominator $10$ is the decimal $0.7$?

   $\frac{7}{10}$. 0.7 means 7 parts out of 10.

2. What decimal is equal to the fraction $\frac{9}{10}$?

   $0.9$. 9/10 means 9 tenths, which equals 0.9.

3. What decimal is equal to the fraction $\frac{70}{100}$?

   $0.70$. $70/100$ means 70 hundredths, which equals 0.70.

4. What does the digit $7$ represent in the decimal $0.47$?

   $7$ hundredths. The second digit after the decimal point represents hundredths.

5. What fraction with denominator $100$ is the decimal $0.90$?

   $\frac{90}{100}$. $0.90$ means 90 parts out of 100.

6. What decimal is the fraction $\frac{5}{100}$ written as?

   $0.05$. Divide numerator by denominator: $\frac{5}{100} = 0.05$.

7. What fraction with denominator $100$ is equal to the decimal $0.09$?

   $\frac{9}{100}$. 0.09 means 9 hundredths, which equals $9/100$.

8. Which decimal represents the fraction $\frac{6}{10}$?

   $0.6$. 6/10 means 6 tenths, which equals 0.6.

9. What decimal should replace $\frac{1}{10}$ in the statement $\frac{1}{10}=\square$?

   $0.1$. One tenth equals $0.1$ in decimal notation.

10. What decimal is equal to the fraction $\frac{12}{10}$?

    $1.2$. $12/10$ means 12 tenths, which equals $1.2$.

11. Which fraction with denominator $100$ represents the decimal $0.71$?

    $\frac{71}{100}$. 0.71 means 71 hundredths, which equals $71/100$.

12. Identify the place value of the digit $4$ in the decimal $0.34$.

    The $4$ is in the hundredths place. The second digit after the decimal point is the hundredths place.

13. What decimal is the fraction $\frac{37}{100}$ written as?

    $0.37$. Divide numerator by denominator: $\frac{37}{100} = 0.37$.

14. What fraction is the decimal $0.62$ written as, using a denominator of $100$?

    $\frac{62}{100}$. Two decimal places means hundredths, so $0.62 = \frac{62}{100}$.

15. What decimal is equal to the fraction $\frac{3}{100}$?

    $0.03$. Divide numerator by denominator: $\frac{3}{100} = 0.03$.

16. What fraction with denominator $100$ is equal to the decimal $0.5$?

    $\frac{50}{100}$. $0.5 = 0.50$, which means 50 hundredths.

17. What decimal is equal to the fraction $\frac{45}{100}$?

    $0.45$. The denominator 100 means two decimal places; 45/100 = 0.45.

18. What fraction is the decimal $0.6$ written as, using a denominator of $10$?

    $\frac{6}{10}$. One decimal place means tenths, so $0.6 = \frac{6}{10}$.

19. What decimal is between $0.6$ and $0.7$ that matches the fraction $\frac{65}{100}$?

    $0.65$. $\frac{65}{100} = 0.65$, which lies between $0.6$ and $0.7$.

20. Identify the place value of the digit $7$ in the decimal $0.73$.

    The $7$ is in the tenths place. The first digit after the decimal point is the tenths place.

21. Identify the point on a $0$ to $1$ number line for the decimal $0.62$.

    At $\frac{62}{100}$, between $0.6$ and $0.7$. 0.62 is 62 hundredths past 0, closer to 0.6 than 0.7.

22. What fraction with denominator $10$ is equal to the decimal $0.7$?

    $\frac{7}{10}$. Each decimal place represents a power of 10; 0.7 means 7 tenths.

23. What fraction with denominator $100$ is the decimal $0.05$?

    $\frac{5}{100}$. 0.05 means 5 parts out of 100.

24. What fraction with denominator $100$ is the decimal $0.9$ written as?

    $\frac{90}{100}$. Convert tenths to hundredths: $0.9 = \frac{9}{10} = \frac{90}{100}$.

25. Which is greater: $\frac{7}{10}$ or $\frac{68}{100}$?

    $\frac{7}{10}$. $\frac{7}{10} = \frac{70}{100} > \frac{68}{100}$.

26. What fraction with denominator $100$ is equal to the decimal $0.30$?

    $\frac{30}{100}$. $0.30$ means 30 hundredths, which equals $30/100$.

27. Which point is the location of $0.62$ on a $0$ to $1$ number line marked by hundredths?

    The point at $62$ hundredths between $0$ and $1$. 0.62 is located at the 62nd mark when counting by hundredths.

28. Which point is $0.62$ on a number line from $0$ to $1$ marked by hundredths?

    The point at $\frac{62}{100}$. $0.62 = \frac{62}{100}$, so locate at the 62nd hundredth mark.

29. What fraction is equal to the decimal $0.08$, using a denominator of $100$?

    $\frac{8}{100}$. Two decimal places means hundredths: $0.08 = \frac{8}{100}$.

30. What decimal should replace $\frac{1}{100}$ in the statement $\frac{1}{100}=\square$?

    $0.01$. One hundredth equals $0.01$ in decimal notation.

31. What does the digit $3$ represent in the decimal $0.3$?

    $3$ tenths. The first digit after the decimal point represents tenths.

32. What fraction with denominator $100$ is the decimal $0.4$ written as?

    $\frac{40}{100}$. Convert tenths to hundredths: $0.4 = \frac{4}{10} = \frac{40}{100}$.

33. What fraction with denominator $100$ is the decimal $0.09$?

    $\frac{9}{100}$. 0.09 means 9 parts out of 100.

34. What fraction with denominator $10$ is equal to the decimal $0.2$?

    $\frac{2}{10}$. 0.2 means 2 tenths, which equals $2/10$.

35. What fraction with denominator $100$ is equal to the decimal $0.62$?

    $\frac{62}{100}$. Two decimal places means hundredths; $0.62 = 62$ hundredths.

36. What decimal is equal to the fraction $\frac{3}{10}$?

    $0.3$. The denominator 10 means one decimal place; 3/10 = 0.3.

37. What fraction is equal to the decimal $0.25$, using a denominator of $100$?

    $\frac{25}{100}$. Two decimal places means hundredths: $0.25 = \frac{25}{100}$.

38. What decimal is equal to the fraction $\frac{70}{100}$?

    $0.70$. Divide numerator by denominator: $\frac{70}{100} = 0.70$.

39. What length in meters is written by the decimal $0.62$ meters?

    $\frac{62}{100}$ meters. Decimal $0.62$ represents the fraction $\frac{62}{100}$.

40. What decimal is the fraction $\frac{4}{10}$ written as?

    $0.4$. Divide numerator by denominator: $\frac{4}{10} = 0.4$.

41. What fraction with denominator $100$ is the decimal $0.40$?

    $\frac{40}{100}$. $0.40$ means 40 parts out of 100.

42. What fraction with denominator $100$ is the decimal $0.62$?

    $\frac{62}{100}$. $0.62$ means 62 parts out of 100.

43. What fraction is the decimal $0.06$ written as, using a denominator of $100$?

    $\frac{6}{100}$. Two decimal places means hundredths, so $0.06 = \frac{6}{100}$.

44. Which is greater: $0.6$ or $0.62$?

    $0.62$. 0.62 has 2 more hundredths than 0.6 (0.60).

45. What fraction with denominator $10$ is the decimal $0.3$?

    $\frac{3}{10}$. 0.3 means 3 parts out of 10.

46. What decimal is equal to the fraction $\frac{8}{100}$?

    $0.08$. $8/100$ means 8 hundredths, which equals $0.08$.

47. What length is described by the decimal $0.62$ meters in words?

    $62$ hundredths of a meter. 0.62 meters means 62 hundredths of a meter.

48. What decimal is equal to the fraction $\frac{105}{100}$?

    $1.05$. $105/100$ means 105 hundredths, which equals $1.05$.

49. What decimal is the fraction $\frac{9}{10}$ written as?

    $0.9$. Divide numerator by denominator: $\frac{9}{10} = 0.9$.

50. What fraction with denominator $10$ is equal to the decimal $1.3$?

    $\frac{13}{10}$. $1.3$ means 1 and 3 tenths, or 13 tenths total.

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