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Easy
Normal
Decimals: Problems with Solutions
By Catalin David
Problem 1
Compare 8.62
<
>
5.93
Solution:
Since 8 is greater than 5, then 8.62 > 5.93
Problem 2
Compare 7.49
<
>
7.54
Solution:
Since 7 = 7 and 5 is greater than 4, then 7.49 < 7.54
Problem 3
Compare 25.14
<
>
25.1
Solution:
25.1 = 25.10
25=25
1=1
4>0 then 25.14 > 25.1
Problem 4
3.24
+
2.51

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
Problem 5
7.48
+
9.37

Solution:
7.48
+
9.37

16.85
Problem 6
9.43 + 15.59 =
Solution:
9.43
+
15.59

25.02
Problem 7
49.37  25.15 =
Solution:
49.37

25.15

24.22
Problem 8
68.42  45.79 =
Solution:
68.42

45.79

22.63
Problem 9
1.245 + 75.8 =
Solution:
1.245
+
75.800

77.045
Problem 10
35.49 + 28 =
Solution:
35.49
+
28.00

63.49
Problem 11
184.3 + 9.825 =
Solution:
184.300 +
9.825
= 194.125
Problem 12
84.5  9.726 =
Solution:
84.500 
9.726
=74.774
Problem 13
432  0.432 =
Solution:
432.000 
0.432
= 431.568
Problem 14
125.37 × 10 =
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
Problem 15
15.259 × 100 =
Solution:
15.259 × 100 = 1525.9
Problem 16
7.2 × 1000 =
Solution:
If we don't have enough digits after the decimal point, we complete with 0 7.2 × 1000 = 7.200 × 1000 = 7200
Problem 17
759.32 ÷ 100 =
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
Problem 18
1.37 ÷ 1000 =
Solution:
If we don't have enough digits to the left of the decimal point, we complete with 0 1.37 ÷ 1000 = 0.00137
Problem 19
Write [tex]\frac{17}{10}[/tex] as decimal number
Solution:
[tex]\frac{17}{10}= 17 \div 10 = 1.7[/tex]
Problem 20
Write [tex]\frac{127}{1000}[/tex] as decimal number.
Solution:
[tex]\frac{127}{1000} = 127 \div 1000 = 0.127[/tex]
Problem 21
Write [tex]3\frac{59}{100}[/tex] as decimal number.
Solution:
[tex]3\frac{59}{100}[/tex] = 3 + 59 ÷ 100 = 3 + 0.59 = 3.59
Problem 22
Write "eight tenths" as a decimal number.
Solution:
eight tenths = 0.8
Problem 23
Write "thirteen hundredths" as a decimal number.
Solution:
thirteen hundredths = 13 ÷ 100 = 0.13
Problem 24
2.6 × 5.8 =
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
Problem 25
12.4 × 1.76 =
Solution:
124 × 176 = 21824
12.4 × 1.76 = 21.824
Problem 26
3.6 ÷ 0.9 =
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
Problem 27
6.25 ÷ 0.5 =
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
Problem 28
0.37 ÷ 37 =
Solution:
0.37 ÷ 37 = (0.37 × 100) ÷ (37 × 100) = 37 ÷ 3700 = 0.01
Easy
Normal
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