Introduction to everyday mathematics 5th grade:
For 5th grade students mathematics is divided into different categories. In grade 5 students can learn Simplification using BODMAS, word problems, unitary methods, Multiples and factors, HCF and LCM, Multiplication and Division of fractional numbers and decimals. They also learn about money, percentage, profit and loss, Simple interest etc.They learn measurement of length, mass and capacity. In geometry they can learn about the types of angles, triangles, element of circle, relation between diameter and radius etc.
everyday mathematics 5th grade - Some Examples
In 5th grade we can learn everyday common mathematics as follows:
(1) Unitary Method: The simple rule of unitary method that if we are given the cost of one object, we can find the cost of many objects by multiplying the cost of one object with the number of objects and if we are given the cost of several objects, we an find the cost of one object by dividing the cost of several objects by the number of objects.
Example: The weight of 25 bags of rice is 650 kg. Find the weight of hundred bags of rice?
Solution: since the weight of 25 bags of rice is 650kg.
Then the weight of 1 bag of rice is 650 ÷ 25
26kg
Then weight of 100 bags of rice is 26 x 100
2600 kg
Answer: weight of 100 bags of rice is 2600 kg.
(2) HCF and LCM: We define the HCF as the highest common factor.HCF of two given numbers is the highest number that divides the given numbers exactly without leaving any remainder.
Example: Find HCF of 136, 170 and 255 by division method:
Solutions: First we find the HCF of 136 and 170
136)170(1
136
34
HCF of 136 and 170 = 34
Now we find the HCF of 34 and 255
34)255(7
238
17)34(2
34
0
HCF of 34 and 255 =17
Hence HCF of 136,170 and 255 = 17
LCM: The lowest common multiple of two or more numbers is the smallest number which is a multiple of each of the numbers.
Example: Find the LCM of 20, 30 and 50 by division method:
2] 20, 30, 50
5] 10, 15, 25
2, 3, 5
LCM = 2x 5x 2x 3x 5 = 300
everyday mathematics 5th grade - more Examples
Decimal numbers: Conversion of a decimal fraction into fraction number:
Write the given number without a decimal point in the numerator.
Write 1 in the denominator followed by as many zeros as the decimal places.
Then write the resulting fraction in the lowest form.
Example:
(a) 1.5 = 15 / 10 =3 /2
(b) 54.972 = 54972 /1000
= 13743 / 250
Find the sum:
(a) 205.40, 80.75 and 1493.50
All decimal points should be in a column in the question and answer:
2 0 5. 40
80. 75
14 93 .50
1 7 7 9.65
Percent: Percent means for every hundred. To convert a % into fraction, place the given number over 100 and reduce it to its lowest term.
Example: 20% = 20 / 100
= 1/5
150% = 150/100
=3/2
To find the percent of a given number:
Example: (a) Find 50% of 75
50/100 x 75
= 75/2 = 37 ½ Ans.
(b) What % is 25 of 200
25/200 x 100
= 12 ½ Ans.
For 5th grade students mathematics is divided into different categories. In grade 5 students can learn Simplification using BODMAS, word problems, unitary methods, Multiples and factors, HCF and LCM, Multiplication and Division of fractional numbers and decimals. They also learn about money, percentage, profit and loss, Simple interest etc.They learn measurement of length, mass and capacity. In geometry they can learn about the types of angles, triangles, element of circle, relation between diameter and radius etc.
everyday mathematics 5th grade - Some Examples
In 5th grade we can learn everyday common mathematics as follows:
(1) Unitary Method: The simple rule of unitary method that if we are given the cost of one object, we can find the cost of many objects by multiplying the cost of one object with the number of objects and if we are given the cost of several objects, we an find the cost of one object by dividing the cost of several objects by the number of objects.
Example: The weight of 25 bags of rice is 650 kg. Find the weight of hundred bags of rice?
Solution: since the weight of 25 bags of rice is 650kg.
Then the weight of 1 bag of rice is 650 ÷ 25
26kg
Then weight of 100 bags of rice is 26 x 100
2600 kg
Answer: weight of 100 bags of rice is 2600 kg.
(2) HCF and LCM: We define the HCF as the highest common factor.HCF of two given numbers is the highest number that divides the given numbers exactly without leaving any remainder.
Example: Find HCF of 136, 170 and 255 by division method:
Solutions: First we find the HCF of 136 and 170
136)170(1
136
34
HCF of 136 and 170 = 34
Now we find the HCF of 34 and 255
34)255(7
238
17)34(2
34
0
HCF of 34 and 255 =17
Hence HCF of 136,170 and 255 = 17
LCM: The lowest common multiple of two or more numbers is the smallest number which is a multiple of each of the numbers.
Example: Find the LCM of 20, 30 and 50 by division method:
2] 20, 30, 50
5] 10, 15, 25
2, 3, 5
LCM = 2x 5x 2x 3x 5 = 300
everyday mathematics 5th grade - more Examples
Decimal numbers: Conversion of a decimal fraction into fraction number:
Write the given number without a decimal point in the numerator.
Write 1 in the denominator followed by as many zeros as the decimal places.
Then write the resulting fraction in the lowest form.
Example:
(a) 1.5 = 15 / 10 =3 /2
(b) 54.972 = 54972 /1000
= 13743 / 250
Find the sum:
(a) 205.40, 80.75 and 1493.50
All decimal points should be in a column in the question and answer:
2 0 5. 40
80. 75
14 93 .50
1 7 7 9.65
Percent: Percent means for every hundred. To convert a % into fraction, place the given number over 100 and reduce it to its lowest term.
Example: 20% = 20 / 100
= 1/5
150% = 150/100
=3/2
To find the percent of a given number:
Example: (a) Find 50% of 75
50/100 x 75
= 75/2 = 37 ½ Ans.
(b) What % is 25 of 200
25/200 x 100
= 12 ½ Ans.
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