Compare 7/100 and 0.7: Finding the Correct Mathematical Symbol

Question

Choose the missing sign (?):

7100?0.7 \frac{7}{100}?0.7

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the decimal 0.7 0.7 into a fraction for easy comparison.
  • Step 2: Compare the fractions 7100 \frac{7}{100} and 710 \frac{7}{10} using cross-multiplication.

Now, let's work through each step:
Step 1: Convert 0.7 0.7 to a fraction. Since 0.7=710 0.7 = \frac{7}{10} , we convert it to this fraction.
Step 2: Compare 7100 \frac{7}{100} and 710 \frac{7}{10} using cross-multiplication.
Calculate 7×10=70 7 \times 10 = 70 and 7×100=700 7 \times 100 = 700 .

Since 70<700 70 < 700 , it follows that 7100<710 \frac{7}{100} < \frac{7}{10} .

Therefore, the solution to the problem is << .

Answer

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