Decimal/fraction conversions quick check

Authored by Angela Broussard

Mathematics

5th - 7th Grade

CCSS covered

Used 20+ times

$Decimal/fraction conversions quick check$

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11 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of decimal is .325?

Repeating

Terminating

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

James is looking at a pattern of numbers and notices that the decimal .222 keeps appearing. What type of decimal is .222?

Repeating

Terminating

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nora is measuring the length of a ribbon and finds it to be .675 meters. What type of rational number is .675?

A repeating decimal

A terminating decimal

It is not a rational number

Answer explanation

Rational numbers can be fractions and decimal numbers that are either repeating or terminating. This is a terminating decimal.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of the following shows a repeating decimal?

$.333\ldots$

.75

$\overline{.19}$

Answer explanation

Remember that a line over the number(s) is a way to represent a repeating number or set of numbers.
So, $\overline{.19}$ means .191919...

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Convert 0.17 to a fraction

17/100

17/1000

17/10,000

17/10

Tags

CCSS.4.NF.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert 0.55 into a simplified fraction.

⁷/₈

⁶/₇

¹/₄

¹¹/₂₀

Answer explanation

.55 has a value in the hundredths place, so it would be $\frac{55}{100}$ . This can then be simplified by a factor of 5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Convert $\frac{2}{10}$ to a decimal

2.1

0.2

0.02

0.20

Answer explanation

.20 can be read a $\frac{20}{100}$ which is $\frac{2}{10}$ in simpler terms. It can also be read as having "0" hundredths. The calculator drops the ending "0". So both .2 and .20 are correct

Tags

CCSS.4.NF.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Ayden paid 7% sales tax when buying a game. This is written as $\frac{7}{100}$ in fraction form
(7 cents for every dollar).
Convert the sales tax to a decimal.

7.0

0.7

0.07

7.777

Answer explanation

$\frac{7}{100}\ can\ be\ divided\ 7\div100$ . Also note the denominator is a power of 10. So the place value of the 7 goes to the "hundredths" place.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Using division convert $\frac{5}{8}$ to a decimal? Note: since the denominator is not a power of 10 we can't can't just place the numerator in a place value.

0.58

0.625

0.875

1.6

Answer explanation

If it read $\frac{5}{10}$ we would have written .5 Since it was NOT a power of 10 we had to divide 5 by 8. Doing $5\div8$ does not give us a whole number. Therefore the decimal response 0.625. If you got 1.6 you did $8\div5$ , but 5 is the dividend in this problem.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which expresses the fraction $\frac{2}{3}$ as a decimal?

2.3

0.3

0.6

0.6666...

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

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Decimal/fraction conversions quick check

What type of decimal is .325?

James is looking at a pattern of numbers and notices that the decimal .222 keeps appearing. What type of decimal is .222?

Nora is measuring the length of a ribbon and finds it to be .675 meters. What type of rational number is .675?

Rational numbers can be fractions and decimal numbers that are either repeating or terminating. This is a terminating decimal.

Which of the following shows a repeating decimal?

Remember that a line over the number(s) is a way to represent a repeating number or set of numbers. So, .19‾\overline{.19}.19 means .191919...

Convert 0.17 to a fraction

Convert 0.55 into a simplified fraction.

.55 has a value in the hundredths place, so it would be 55100\frac{55}{100}10055​ . This can then be simplified by a factor of 5.

Convert 210\frac{2}{10}102​ to a decimal

.20 can be read a 20100\frac{20}{100}10020​ which is 210\frac{2}{10}102​ in simpler terms. It can also be read as having "0" hundredths. The calculator drops the ending "0". So both .2 and .20 are correct

Ayden paid 7% sales tax when buying a game. This is written as 7100\frac{7}{100}1007​ in fraction form (7 cents for every dollar). Convert the sales tax to a decimal.

7100 can be divided 7÷100\frac{7}{100}\ can\ be\ divided\ 7\div1001007​ can be divided 7÷100 . Also note the denominator is a power of 10. So the place value of the 7 goes to the "hundredths" place.

Using division convert 58\frac{5}{8}85​ to a decimal? Note: since the denominator is not a power of 10 we can't can't just place the numerator in a place value.

If it read 510\frac{5}{10}105​ we would have written .5 Since it was NOT a power of 10 we had to divide 5 by 8. Doing 5÷85\div85÷8 does not give us a whole number. Therefore the decimal response 0.625. If you got 1.6 you did 8÷58\div58÷5 , but 5 is the dividend in this problem.

Which expresses the fraction 23\frac{2}{3}32​ as a decimal?

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Remember that a line over the number(s) is a way to represent a repeating number or set of numbers.
So, $\overline{.19}$ means .191919...

.55 has a value in the hundredths place, so it would be $\frac{55}{100}$ . This can then be simplified by a factor of 5.

Convert $\frac{2}{10}$ to a decimal

.20 can be read a $\frac{20}{100}$ which is $\frac{2}{10}$ in simpler terms. It can also be read as having "0" hundredths. The calculator drops the ending "0". So both .2 and .20 are correct

Ayden paid 7% sales tax when buying a game. This is written as $\frac{7}{100}$ in fraction form
(7 cents for every dollar).
Convert the sales tax to a decimal.

$\frac{7}{100}\ can\ be\ divided\ 7\div100$ . Also note the denominator is a power of 10. So the place value of the 7 goes to the "hundredths" place.

Using division convert $\frac{5}{8}$ to a decimal? Note: since the denominator is not a power of 10 we can't can't just place the numerator in a place value.

If it read $\frac{5}{10}$ we would have written .5 Since it was NOT a power of 10 we had to divide 5 by 8. Doing $5\div8$ does not give us a whole number. Therefore the decimal response 0.625. If you got 1.6 you did $8\div5$ , but 5 is the dividend in this problem.

Which expresses the fraction $\frac{2}{3}$ as a decimal?