Exercise 1

Order the following decimal numbers from largest to smallest:

5.4, 5.004, 5.0004, 5.04, 4.4, 4.98, 5, 5.024

7.3, 7.003, 7.0003, 7.03, 6.5, 6.87, 7, 7.037

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Exercise 2

Sort, by the type, the decimal numbers corresponding to the fractions:

\frac {9}{5} , \frac {9}{14} , \frac {57}{20} , \frac {8}{11} , \frac {25}{24}, \frac {4}{3}

\frac {7}{16}, \frac {1}{20} , \frac {3}{35}, \frac {5}{18}

Exercise 3

Calculate:

3.6669 · 1000 =

3.6669 : 1000 =

0.036 · 10 =

0.036 : 10 =

0.000012 · 10 000 =

123.005 : 10 000 =

26.36 · 10 000 =

2.36 : 1000 =

0.261 · 100 =

5.036 : 10 =

Exercise 4

Calculate:

324 : 0.018

12.96 : 6

 

Solution of exercise 1

Order the following decimal numbers from largest to smallest:

5.4, 5.004, 5.0004, 5.04, 4.4, 4.98, 5, 5.024

4.4 < 4.98 < 5 < 5.0004 < 5.004 < 5.024 < 5.04 < 5.4

 

7.3, 7.003, 7.0003, 7.03, 6.5, 6.87, 7, 7.037

6.5 < 6.87 < 7 < 7.0003 < 7.003 < 7.03 < 7.037 <7.3

 

Solution of exercise 2

Sort, by the type, the decimal numbers corresponding to the fractions:

\frac {3}{5} , \frac {9}{14} , \frac{57}{20} , \frac {8}{11} , \frac{25}{24} , \frac {4}{3}

\frac {3}{5} = 0.6                      Exact decimal

\frac {9}{14} = 0.6428571428571 .... = 0. 6 \overline{428571}           Repeating decimal

\frac {57}{20} = 2.85                       Exact decimal

\frac{8}{11} = 0.72727272... = 0.\overline{72}          Repeating decimal

\frac {25}{24} = 1.04161616.... = 1.04\overline{26}          Repeating decimal

\frac {4}{3} = 1.333333.... = 1. \overline{3}                      Repeating decimal

\frac {7}{16} , \frac {1}{20} , \frac {3}{3.5} , \frac {5}{18}

16 = 2 ^4       Decimal exacto

20 = 2 ^2 \cdot 5    Decimal exacto

35 = 5 \cdot 7     Periodico mixto

12 = 2 ^2 \cdot 3   Periodico mixto

 

Solution of exercise 3

Calculate:

3.6669 · 1000 = 3666.9

3.6669 : 1000 = 0.0036669

0.036 · 10 = 0.36

0.036 : 10 = 0.0036

0.000012 · 10 000 = 0.12

123.005 : 10 000 = 0.0123005

26.36 · 10 000 = 263 600

2.36 : 1 000 = 0.00236

0.261 · 100 = 26.1

5.036 : 10 = 0.5036

 

Solution of exercise 4

Calculate:

324 : 0.018

\begin{array}{ccccccccccc} & & & 18000&&&&\\ \cline{3-7} \multicolumn{2}{r}{18\surd} && 324000&& &&&&\\ & &&18& & & & \\ \cline{4-7} &&&144000&& &&&&\\ & &&144000& & & & \\ \cline{4-7} & && 0& & \\ \end{array}

12.96 : 6

\begin{array}{ccccccccccc} & & &  2.16&&&&\\ \cline{3-7} \multicolumn{2}{r}{600\surd} && 1296&& &&&&\\ & &&1200& & & & \\ \cline{4-7} & && 960& & \\ \cline{4-7} & && 900& & \\ \cline{4-7} & && 600& & \\ & && 600& & \\ \cline{4-7} & && 0& & \\ \end{array}

 

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.