#  >> K-12 >> Elementary School

How to Solve Equations in 5th Grade Math

You may know how to perform a lot of basic math functions --- subtraction, division, decimals --- but you might not know how to put it together to solve a complex equation. If you just start performing tasks in random order, you can end up with an entirely incorrect answer. When solving equations, just remember the mnemonic device "M-DAS," which stands for: "Math, Division, Addition, and Subtraction."



Fifth grade math generally contains the following parts: addition, subtraction, multiplication and division, along with decimals and fractions.

Instructions

    • 1

      Convert all of your decimals to fractions, or all of your fractions to decimals, if the equation contains a mix of them both. If you want to convert fractions to decimals, simply divide the top number by the bottom number. When converting decimals to fractions, ignore any zeroes on the far right, such as the zero in 3.50. Make a fraction with all of the numbers in the decimal over a number corresponding to the last decimal place. Express the fraction in terms of tenths if the last number of the fraction is in the tenths place, or hundredths if the last number of the fraction is in the hundredths place, and so forth. For example, 3.50 converts to 35 / 10.

    • 2

      Perform all multiplication and division tasks. Write the product or quotient in place of the multiplication or division part of the equation.

      For example, in the equation 5 x 10 + 5.3 / 0.5 - 3.6 - 5, first multiply 5 x 10, getting 50. Then divide 5.5 by 0.5, getting 11. After you replace "5 x 10" with "50" and "5.5 / 0.5" with "11," your equation should read: 50 + 11 - 3.6 - 5.

    • 3

      Perform all addition tasks. Replace the addition task with the acquired sum.

      Following the same example, in the equation 50 + 11 - 3.6 - 5, you know that 50 + 11 = 61, so replace "50 + 11" with 61. The equation now reads: 61 - 3.6 - 5.

    • 4

      Perform all subtraction tasks. If the equation contains more than one subtraction task, move from left to right.

      Following the same example, first perform the subtraction task: 61 - 3.6, which equals 57.4. Then subtract 5 from 57.4, getting the final number, 52.4.

Learnify Hub © www.0685.com All Rights Reserved