Compare 230/100 and 2.3: Choosing the Correct Mathematical Symbol

Choose the appropriate sign (?):

230100?2.3 \frac{230}{100}?2.3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate sign
00:04 Convert a fraction to a decimal fraction
00:07 Place the numerator as a whole number
00:11 When the denominator equals 100, move the decimal point 2 places left
00:19 Place the decimal fraction instead of the fraction
00:24 Select the appropriate sign
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the appropriate sign (?):

230100?2.3 \frac{230}{100}?2.3

2

Step-by-step solution

We begin by converting 230100\frac{230}{100} into a decimal form. To do this, we divide 230 by 100:

230100=230÷100=2.3 \frac{230}{100} = 230 \div 100 = 2.3

Now, we compare this result to the given decimal 2.3.

Since 2.3=2.32.3 = 2.3, the appropriate sign to use between 230100\frac{230}{100} and 2.3 is "=""=".

Therefore, the solution to the problem is =\mathbf{=}.

3

Final Answer

=

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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