Quiz about Converting Rational Numbers to Decimals and Vice Versa

Question 1

Write the decimal equivalent for each rational number. if the decimal repeats, use a bar to show the digits that repeat. $$\frac{5}{9}$$

Accepted Answer

$$0.\overline{5}$$

Answer

Answer

Answer

$$0.5\overline{5}$$

Question 2

Write the decimal equivalent for each rational number. if the decimal repeats, use a bar to show the digits that repeat. $$-\frac{2}{5}$$

Accepted Answer

Answer

Answer

$$-0.\overline{4}$$

Answer

$$0.\overline{4}$$

Question 3

Write the decimal equivalent for each rational number. if the decimal repeats, use a bar to show the digits that repeat. $$-3\ \frac{7}{15}$$

Accepted Answer

$$-3.4\overline{6}$$

Answer

Answer

$$-3.\overline{46}$$

Answer

$$-3.0\overline{46}$$

Question 4

Write the decimal equivalent for each rational number. if the decimal repeats, use a bar to show the digits that repeat. $$2\ \frac{3}{11}$$

Accepted Answer

$$2.\overline{27}$$

Answer

Answer

Answer

$$2.2\overline{72}$$

Question 5

Write < or >. $$\frac{2}{11}\ \ \ \ \ \frac{4}{9}$$

Accepted Answer

Answer

Question 6

$$\ Write\ <\ or\ >\ -\ \frac{4}{9}\ \ \ \ \ -\frac{7}{15}\ $$

Accepted Answer

Answer

Question 7

Which of these fractions can be converted to a terminating decimal?

Accepted Answer

$$-\ \frac{9}{40}$$

Answer

$$\frac{3}{7}$$

Answer

$$-\ \frac{5}{9}$$

Answer

$$\frac{7}{15}$$

Question 8

Which of these fractions can be converted to a repeating decimal?

Accepted Answer

$$\frac{2}{3}$$

Answer

$$-\frac{2}{5}$$

Answer

$$\frac{1}{17}$$

Answer

$$\frac{3}{4}$$

Question 9

Which equations are false?

Accepted Answer

$$-\ \frac{5}{9}=-0.5$$

Accepted Answer

$$2\ \frac{7}{9}=2.0\overline{7}$$

Answer

$$\frac{3}{4}=0.75$$

Answer

$$4\ \frac{3}{11}=4.\overline{27}$$

Question 10

A cricket weighs $$\frac{9}{11}$$ grams. A grasshopper weighs $$\frac{8}{9}$$ grams. Which insect weighs more?

Accepted Answer

The grasshopper

Answer

The cricket

Answer

They weigh the same

Question 11

Carlos claims that the decimal equivalent to $$\frac{6}{17}$$ neither terminates nor repeats. It simply keeps going without any kind of pattern. Is Carlos correct?

Accepted Answer

Yes, it keeps going without any kind of pattern.

Answer

No, it is terminating decimal.

Answer

No, it is a repeating decimal.

Question 12

Sara took a pumpkin from her garden that weighed 20.75 pounds and cut off the top. The top part weighed $$\frac{11}{20}$$ pound. How much did the remaining part of the pumpkin weigh?

Accepted Answer

Answer

Answer

$$19.\overline{2}$$

Answer

$$20.\overline{23}$$

Converting Rational Numbers to Decimals and Vice Versa

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