Decimals and Fractions
T O
We can see the place value of numbers.
t
Y7
h th tth hth
4 1 .6 5 2 7 3
41.65273 is 4 Tens, 1 One,
6 tenths, 5 hundredths, 2 thousandths, 2 ten thousandths and 2 hundred thousandths.
4 Tens and 1 One is the same as 41 Ones.
6 tenths and 5 hundredths is the same as 65 hundredths.
6 tenths, 5 hundredths and 2 thousandths is the same as 652 thousandths.
6 tenths, 5 hundredths, 2 thousandths and 7 ten thousandths is the same as 6527 ten thousandths.
Complete the following:
O
h th tth hth
t
3 tenths, 5 hundredths, 7 thousandths, 4 hundred thousandths = 0 . 3 5 7 0 4
0.
2 tenths, 3 thousandths, 9 hundred thousandths =
0.
4 tenths, 2 hundredths, 8 thousandths, 5 ten thousandths =
0.
7 tenths, 9 hundred thousandths =
3 tenths, 5 hundredths, 7 thousandths, 2 ten thousandths, 4 hundred thousandths =
0.
8 tenths, 5 ten thousandths = 0 .
3 hundred thousandths =
0.
1
10
1
100
One tenth
One hundredth
1
1 000
One thousandth
1
10 000
One ten thousandth
0.763
Example. Write the following decimals as fractions a). a).
763
0.763 is 763 thousandths = 1 000
1
100 000
One hundred thousandth
b). 2.41521
41 521
b). 2.41521 is 2 and 41521 hundred thousandths = 2 100 000
Write the following decimals as fractions. Do not cancel them to their lowest terms.
1).
6).
11).
16).
0.4 0.24 0.214 3.6 2).
7).
12).
17).
0.2 0.36 0.939 0.84 3).
8).
13).
18).
1.3 0.05 7.316 6.045 631
Example. Write the following fractions as decimals a). 100
a).
631
100
is 631 hundredths = 0.631
b).
4).
9).
14).
19).
5.9 3.47 4.005 0.73 5).
10).
15).
20).
2.7 6.96 8.205 4.016
8 943
b). 4 10 000
4 8 943 is 4 Ones and 8943 ten thousandths = 4.8943
10 000
Write the following fractions as decimals:
1).
43
2).
3
3).
1 10
4).
19
6).
173
37
7).
6 1 000
8).
5743
9).
2 10 000
11).
11
12).
16).
100
1 000
10 000
68
1 000
10
90873
100 000
58
17). 5 10 000
1
10 000
100
908
5).
91
3 100
10). 7 3
1 000
563
13). 9 10 000
14).
4 5063
15).
7
100 000
650
19). 1
20). 8 17
10 000
18).
100 000
1 000
2 6734
100 000
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