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Fractions and Decimals (GeoGebra)

Last updated almost 4 years ago
32 questions
Note from the author:
Students review their knowledge of decimals and place value, and practice converting between fractions and decimals.

Objectives:


  • Recognize the equivalence of simple fractions and decimals.
  • Convert terminating decimals to fractions. 0.23 = \frac{23}{100}.
  • Compare two fractions by using a calculator to convert the fractions to decimals: e.g. \frac{3}{5} \text{ and } \frac{13}{20}.
  • Add and subtract integers and decimals, including numbers with different numbers of decimal places.
  • Use known facts and place value to multiply simpledecimals by one-digit numbers: e.g. 0.8 \times 6.
  • Use the laws of arithmetic and inverse operations to simplify calculations with decimals.
  • Multiply and divide decimals with one or two decimal places by single-digit numbers: e.g. 13.7 \times 8,\ 4.35 \div 5.
You may utilize this embedded GeoGebra applet if you find it useful in completing the questions in this lesson.

Writing Decimals as Fractions

Write the following decimals as fractions. The denominators should be written as a power of 10 (e.g. 10, 100, or 100). Use the math keyboard to enter in your answers as fractions. Do not simplify your answer.

Ex:
1

0.5

1

0.7

1

0.15

1

0.34

1

0.72

1

0.699

1

0.708

1

0.094

Use your answers from the question above to help answer the following:
1

If there is one digit after the decimal point, what is the denominator if the corresponding fraction?

1

If there are two digits after the decimal point, what is the denominator if the corresponding fraction?

1

If there are three digits after the decimal point, what is the denominator if the corresponding fraction?

Mixed Numbers

Write the following as mixed numbers using the math keyboard. Keep your denominators as powers of ten (e.g. 10, 100, or 100). Do not simplify the fractions yet, i

Ex:
1

1.7

1

2.5

1

3.54

1

9.27

1

5.114

1

11.438

1

8.005

1

21.009

1

9.422

1

14.803

1

16.002

1

15.077

Write the following decimals as fractions in simplest form.
1

0.2

1

0.6

1

0.8

1

0.5

1

0.25

1

0.75

1

0.125

1

0.375

1

0.625