Question

Consider the following expressions

`10-\frac{2}{5}\cdot35-4\ \frac{2}{5}`______`\frac{3}{5}+8\cdot7-1`



Which operator can be inserted to make the statement true?

Answer 1

In order to determine which operator can be inserted to make the statement true, we need to evaluate each expression separately and compare the results.

Expression 1: 10 - (2/5) * 35 - 4 2/5
First, we need to perform the multiplication and division: (2/5) * 35 = 14
Then, we need to perform the subtraction: 10 - 14 = -4
Finally, we subtract 4 2/5 from -4: -4 - 4 2/5 = -8 2/5

Expression 2: 3/5 + 8 * 7 - 1
First, we need to perform the multiplication: 8 * 7 = 56
Then, we perform the addition and subtraction: 3/5 + 56 - 1 = 55.6

Now, we can compare the results of the two expressions:
-8 2/5 and 55.6

In order to make the statement true, we need to insert the inequality operator. For example, we can write:
-8 2/5 < 55.6