Decimals: Problems with Solutions

Solution:
Since 8 is greater than 5, then 8.62 > 5.93

Solution:
Since 7 = 7 and 5 is greater than 4, then 7.49 < 7.54

Solution:
25.1 = 25.10
25=25
1=1
4>0 then 25.14 > 25.1

Solution:
If we add or subtract decimal numbers, we first put the decimal point under the decimal point and, using this, we arrange the digits. If the numbers don't have the same number of digits after the decimal point, we add as many 0 at the end of the shorter number as necessary.
 3.24
+
 2.51
 -----
 5.75

Solution:
 7.48
+
 9.37
 -----
16.85

Solution:
  9.43
+
 15.59
 -------
 25.02

Solution:
 49.37
-
 25.15
 ------
 24.22

Solution:
 68.42
-
 45.79
 ------
 22.63

Solution:
  1.245
+
 75.800
 ------
 77.045

Solution:
 35.49
+
 28.00
------
 63.49

Solution:
184.300 +
   9.825
= 194.125

Solution:
 84.500 -
   9.726
=74.774

Solution:
  432.000 -
      0.432
= 431.568

Solution:
If we multiply a decimal number with 10 or powers of 10, we move the decimal point to the right over a number of digits equal to the exponent of 10.
125.37 × 10 = 1253.7

Solution:
15.259 × 100 = 1525.9

Solution:
If we don't have enough digits after the decimal point, we complete with 0 7.2 × 1000 = 7.200 × 1000 = 7200

Solution:
If we divide by 10 or powers of 10, we move the decimal point to the left over a number of digits equal to the exponent of the power of 10. 759.32 ÷ 100 = 7.5932

Solution:
If we don't have enough digits to the left of the decimal point, we complete with 0 1.37 ÷ 1000 = 0.00137

Solution:
[tex]\frac{17}{10}= 17 \div 10 = 1.7[/tex]

Solution:
[tex]\frac{127}{1000} = 127 \div 1000 = 0.127[/tex]

Solution:
[tex]3\frac{59}{100}[/tex] = 3 + 59 ÷ 100 = 3 + 0.59 = 3.59

Solution:
eight tenths = 0.8

Solution:
thirteen hundredths = 13 ÷ 100 = 0.13

Solution:
We do the multiplication without taking the decimal point into consideration. In the result, we put the decimal point over as many digits from right to left as there were after the decimal points of the numbers which are multiplied.
26 × 58 = 1508
2.6 × 5.8 = 15.08

Solution:
124 × 176 = 21824
12.4 × 1.76 = 21.824

Solution:
We multiply both numbers with a power of 10 in order to eliminate the decimal point, then we divide.
3.6 ÷ 0.9 = 36 ÷ 9 = 4

Solution:
We multiply both numbers with a power of 10 in order to eliminate the decimal point, then we divide.
(6.25 × 100) ÷ (0.5 × 100) = 625 ÷ 50 = 12.5

Solution:
0.37 ÷ 37 = (0.37 × 100) ÷ (37 × 100) = 37 ÷ 3700 = 0.01