Equivalent Decimal Fractions
Decimal
fractions are numbers that have a whole number part and a fractional part
separated by a decimal point. When decimal fractions are unlike fraction
however they are equal in value are called equivalent fractions.
For example:
1.1, 1.10, 1.1000
All are equivalent
fraction as the actual value is 1.1 or 11/10
In decimal fractions in
the fractional part zeros at the end does not have any value until and unless
there is any number after the zero.
Here are few examples and
state whether they are equivalent fractions or not. State the reasons for your
answer.
(i) 4.001, 45, 45.01, 45.10
These are not equivalent
decimal fractions as:
4.001 = 4001/1000
45
45.01 = 4501/100
45.10 = 4510/100
Here we can see that all
the fractions have different values hence they cannot be termed as equivalent
fractions.
(ii) 23.23, 23.230, 23.2300
These are equivalent
decimal fractions as:
23.23 = 2323/100
23.230 = 23230/1000
23.2300 = 232300/10000
The value of all the
fractions are 2323/100 hence these decimal numbers are equivalent fractions
(iii) 45.40, 45.400, 45.4000
These are equivalent
decimal fractions as:
45.40 = 4540/100
45.400 = 45400/1000
45.4000 = 454000/10000
The value of all the
fractions are 4540/100 hence these decimal numbers are equivalent fractions
(iv) 54, 54.20, 54.23, 5474
These are not equivalent
decimal fractions as:
54
54.20 = 5420100
54.23 = 5423/100
5474
Here we can see that all
the fractions have different values hence they cannot be termed as equivalent
fractions.
(v) 2.01, 2.0101, 2.0100,
2.015
These are not equivalent
decimal fractions as:
2.01 = 201/100
2.0101 = 20101/10000
2.0100 = 20100/10000
2.015 = 2015/1000
Here we can see that all
the fractions have different values hence they cannot be termed as equivalent
fractions.
(vi) 5.23, 5.230, 5.230000,
5.23000
These are equivalent
decimal fractions as:
5.23 = 523/100
5.230 = 5.230/1000
5.230000 =
5230000/1000000
5.23000= 523000/100000
The value of all the
fractions is 523/100 hence these decimal numbers are equivalent fractions
(vii) 52.00, 52.002, 52.03,
52.01, 52.06, 52.68
These are not equivalent
decimal fractions as:
52.00 = 52/100
52.002 = 52002/1000
52.03 = 5203/100
52.01 = 5201/100
52.06 = 5206/100
52.68 = 5268/100
Here we can see that all
the fractions have different values hence they cannot be termed as equivalent
fractions.
(viii) 95.56, 95.560,
95.5600, 95.56000
These are equivalent
decimal fractions as:
95.56 = 9556/100
95.560 = 95560/1000
95.5600 = 955600/10000
95.56000 = 9556000/10000
The value of all the
fractions is 9556/100 hence these decimal numbers are equivalent fractions
(ix) 45.632, 45.321, 45.001,
45.007, 452.01
These are not equivalent
decimal fractions as:
45.632 = 45632/1000
45.321 = 45321/1000
45.001 = 45001/1000
45.007 = 45007/1000
452.01 = 45201/100
Here we can see that all
the fractions have different values hence they cannot be termed as equivalent
fractions.
(x) 69.23, 69.230, 69.2300, 69.230000
These are equivalent decimal fractions as:
69.23 = 6923/100
69.230 = 69230/1000
69.2300 = 692300/10000
69.230000 = 69230000/1000000
The value of all the fractions is 6923/100 hence these decimal numbers are equivalent fractions.
You might like these
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10
This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9 For eg: Check whether 729 is divisible by 9 or not? Sum of the digits = 7 + 2 + 9 = 18 Now 18 is divisible by 9 hence, 729 is also divisible by 9 Here are few examples
The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.
This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.
This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is
This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible
This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.
This topic is on the divisibility rule of 3 and few examples based on the topic. If the sum of the digits is divisible by 3 then the whole number is divisible by 3. For example 519 The sum of the digits = 5 + 1 + 9 = 15 15 is divisible by 3 hence 519 is also divisible by 3
This topic would deal with the divisibility rule of 2 and few sums on divisibility rule of 2. Numbers that are ending with 0, 2, 4, 6, and 8 are divisible by 2. That means numbers ending with 0 or multiples of 2 are divisible by 2. We know that numbers which are multiples of
This topic deals with the properties of divisibility which will help us in doing our multiplication and division easy. These rules will help us to determine quickly the factors of certain number, the divisibility criteria of certain number and helps in overall strengthening
1. List the first five multiples of the following numbers: 2. Choose the numbers that are factors of 24. 3. 3. Choose the numbers that are multiples of 15. 4. Choose the numbers which are multiple of 3 as well as factor of 36
This topic would deal with divisibility rules. There are certain divisibility rules of certain numbers which help in determining that by which number the given number is divisible. Divisibility rules are an effective tool for determining with which numbers a given number
From Equivalent Decimal Fractions to HOME PAGE
New! Comments
Have your say about what you just read! Leave me a comment in the box below.