Can you use decimals in algebra?

But decimals are really another way to represent fractions. For example, 0.3=310 0.3 = 3 10 and 0.17=17100 0.17 = 17 100 . So, when we have an equation with decimals, we can use the same process we used to clear fractions—multiply both sides of the equation by the least common denominator.

What is the decimal formula?

Using the decimal formula, the number of decimal places in the answer is equal to the number of zeros in the multiple of 10 in the denominator. A decimal can be converted into a whole number by multiplying it with 10 or a higher power of 10, which is equal to the number of decimal digits.

How do you solve 2 decimal places?

If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74).

How to solve the equation with no decimals?

Solve: 0.8x−5= 7 0.8 x − 5 = 7. The only decimal in the equation is 0.8 0.8. Since 0.8 = 8 10 0.8 = 8 10, the LCD is 10 10. We can multiply both sides by 10 10 to clear the decimal. Multiply both sides by the LCD. Distribute. Multiply, and notice, no more decimals! Add 50 to get all constants to the right. Simplify. Divide both sides by 8 8.

How to solve linear equations with fractions and decimals?

Multiply 4.78 by 100. If you missed this problem, review (Figure). Let’s use the general strategy for solving linear equations introduced earlier to solve the equation, . To isolate the term, subtract from both sides. Simplify the left side. Change the constants to equivalent fractions with the LCD. Subtract.

Which is the best way to clear decimals?

We can multiply both sides by 10 10 to clear the decimal. Multiply both sides by the LCD. Distribute. Multiply, and notice, no more decimals! Add 50 to get all constants to the right. Simplify. Divide both sides by 8 8. Simplify.

Why do we need step by step algebra software?

The step-by-step process used for solving algebra problems is so valuable to students and the software hints help students understand the process of solving algebraic equations and fractions. My decision to buy “The Algebrator” for my son to assist him in algebra homework is proving to be a wonderful choice.