Solve the following equation: 80 √∑ 2 + 10.

Mathematics Questions

Solve the following equation: 80 √∑ 2 + 10.

Short Answer

To solve the expression ’80 divided by half plus 10′, first change ‘half’ to 0.5, resulting in 80 √∑ 0.5 + 10. This simplifies to 160 + 10, giving the final answer of 170.

Step-by-Step Solution

Step 1: Understand the Problem

To solve the expression ’80 divided by half plus 10′, it’s important to clearly understand what is being asked. The term ‘half’ is mathematically represented as 1/2 or 0.5. Recognizing this helps you accurately perform the division operation. The full expression translates to 80 √∑ 0.5 + 10.

Step 2: Perform the Division

Next, calculate the division portion of the expression. Dividing by half (0.5) is the same as multiplying by its reciprocal (which is 2). Thus, you can perform the calculation like this:

  • 80 √∑ 0.5 equals 160.

This means when you divide 80 by half, you effectively get 160. It’s essential to grasp that dividing by a fraction increases the value.

Step 3: Complete the Calculation

Finally, after finding the result from the division, you need to add 10 to it. Carry out the addition as follows:

  • 160 + 10 equals 170.

This gives you the final answer. Therefore, the solution to ’80 divided by half plus 10′ is 170.

Related Concepts

Division

The process of calculating the number of times one number is contained within another, often represented by the symbol ‘√∑’ or ‘/’

Reciprocal

A value that, when multiplied by a given number, results in one; for a fraction, it is obtained by swapping the numerator and the denominator

Addition

The mathematical operation of combining two or more quantities to obtain their total, often represented by the symbol ‘+’

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