Question

Which of the given numbers is greater? 0.5 or 0.05

Answer 1

Hint: To find a greater one multiply 0.5 and 0.05 by a specific term so that it can be converted into a whole number. So compare the whole numbers so obtained and you will get the greater term.

Complete step-by-step answer:

The greater the decimal is, the closer it is to one whole. The smaller a decimal is, the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. Both the numbers have two digits in them, so you can compare them right away.

When you compare decimals, you are trying to figure out which part of a whole is greater. To do this, you need to think about the number 1.

1 is a whole. All decimals are part of 1.

“The closer a decimal is to 1, the larger the decimal is”,

Let's use place value to figure out which number is closer to one then compare the values.
0.45 and 0.67

You have two decimals that both have the same number of digits in them.

It is easy to compare decimals that have the same number of digits. Look at the numbers without the decimal point and determine which number is greater.

67 is greater. You can say that sixty-seven hundredths is closer to one than forty-five hundredths.

The answer is 0.45 < 0.67.

When comparing decimals, use the following steps:

1. If the decimals you are comparing have the same number of digits in them, think about the value of the number without the decimal point.

2. The larger the number, the closer it is to one.

So now we want to find the comparison between, 0.5 and 0.05, i.e. which one is greater,

So we can write 0.5 in the form fraction as ${\displaystyle \frac{5}{10}}$,

So multiplying ${\displaystyle \frac{5}{10}}$ by specific term 100, so we get 50,

Now we can write 0.05 in the form ${\displaystyle \frac{5}{100}}$,

So multiplying ${\displaystyle \frac{5}{100}}$ by specific term i.e., 100 we get 5,

Now comparing these, we get $50>5$,

As $50>5$, so $0.5>0.05$,

Hence we get the answer as 0.5 is greater than 0.05.

Note: The first thing you need to look at is the digit number in each decimal. So you can solve it by other methods. You can compare the decimals such as,

0.5 and 0.05, in both the numbers we can see the number after decimal is 5 for 0.5 and 0 for 0.05.

So, we know that $5>0$, so $0.5>0.05$.