Answer
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Hint: To solve this question, one must know about decimal numbers.A decimal is a number expressed in the scale of tens. In other words, they are used to represent a whole number plus a fraction of a whole number.
Complete step-by-step answer:
Let us take an example. Say \[\dfrac{3}{4}\] . We can also write it as 0.75 in decimal form.
So, this is how we can convert fractions into decimals. We can even convert whole numbers into decimals.
Let us now learn how to convert decimals into fractions.
Let us convert 0.25 into fraction.
We will firstly see the number of decimal places that are after the decimal. Here we can see that there are two, so, we will put 100 as the denominator because 100 have 2 zeros.
Therefore, the fraction that we will get would be \[\dfrac{25}{100}\] .
Now, as we will simplify the fraction, we will get \[\dfrac{1}{4}\] .
To find whether 0.07 is greater than 0.02, we need to follow some steps that are given below.
Step1. Look at the whole numbers of the two numbers first, i.e., look at the number present to the left of the decimal. In this question, we can see that the whole number of both the two numbers is 0.
Step2. If the whole number of the two numbers is the same, then we have to look at the very next number to the decimal, i.e. the number at the tenths place. In this question, the number at the tenths place is also the same, as it is 0 in both the numbers.
Step3. If the number at the tenths place is also the same, then we need to look at the number present at the hundredth place in the number. In the two numbers given in the question, the numbers present at the hundredth place are 7 and 2.
Therefore, we can conclude that the number 0.07 is greater than the number 0.02.
Note:-For solving such questions, we have to make both the parts, which we are asked to compare, of the same form. That means both the parts we are comparing should have the same number of decimal places. For doing so, we can add zeros at the end of that part which is having lesser decimal places. Adding zeros at the end of the decimal part does not affect the value of the decimal.
Complete step-by-step answer:
Let us take an example. Say \[\dfrac{3}{4}\] . We can also write it as 0.75 in decimal form.
So, this is how we can convert fractions into decimals. We can even convert whole numbers into decimals.
Let us now learn how to convert decimals into fractions.
Let us convert 0.25 into fraction.
We will firstly see the number of decimal places that are after the decimal. Here we can see that there are two, so, we will put 100 as the denominator because 100 have 2 zeros.
Therefore, the fraction that we will get would be \[\dfrac{25}{100}\] .
Now, as we will simplify the fraction, we will get \[\dfrac{1}{4}\] .
To find whether 0.07 is greater than 0.02, we need to follow some steps that are given below.
Step1. Look at the whole numbers of the two numbers first, i.e., look at the number present to the left of the decimal. In this question, we can see that the whole number of both the two numbers is 0.
Step2. If the whole number of the two numbers is the same, then we have to look at the very next number to the decimal, i.e. the number at the tenths place. In this question, the number at the tenths place is also the same, as it is 0 in both the numbers.
Step3. If the number at the tenths place is also the same, then we need to look at the number present at the hundredth place in the number. In the two numbers given in the question, the numbers present at the hundredth place are 7 and 2.
Therefore, we can conclude that the number 0.07 is greater than the number 0.02.
Note:-For solving such questions, we have to make both the parts, which we are asked to compare, of the same form. That means both the parts we are comparing should have the same number of decimal places. For doing so, we can add zeros at the end of that part which is having lesser decimal places. Adding zeros at the end of the decimal part does not affect the value of the decimal.
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