# The Tutoring Center,Bear DE

## BLOG # Math Help: Understanding Decimals

05/21/2015
Math is often one of the hardest subjects to fully grasp as a learner. Starting with basic addition and subtraction, and slowly working your way into harder operations is the only way to truly understand math in depth. For professional math help in Bear, call The Tutoring Center at (302) 832-2400 for more information. In the meantime, here are some tips to help understand decimals.

If you can add and subtract long numbers, you can easily add and subtract with decimals as well. Just be sure to line the decimals up in the same place when working out the equation. If you are adding, start on the right of the equation, if the sum is greater than ten, “carry” the remaining digits to the next place. When subtracting, also start on the left but “borrow” a digit from the column to the left if needed.

Multiplying and dividing decimals is a little more difficult. To multiply decimal numbers, multiply the numbers just as if they were whole numbers. Line up the numbers on the right-side. Unlike adding and subtracting, do not align the decimal points. Start on the right and multiply each digit from the top number by each digit in the bottom number, just as with whole numbers. When you finish the multiplication, add the products. To place the decimal point in the answer, start at the right and move a number of places equal to the sum of the decimal places in both numbers from the original problem. For example, if both numbers in the original equation have two decimals, the answer will have four. For a little help, use estimating and rounding to help you check the placement of the decimal point. You could round 37.7 to 40 and 2.8 to 3. It's easier to multiply 3 x 40, so you know your answer should be close to 120, but with two decimals.

Dividing decimals is the hardest of the four basic math operations. In fact, you have to use subtraction and multiplication in order to divide, and you also have to be pretty good at rounding and estimating! Many students find dividing decimals difficult because most problems don't come out nice and even-you really have to use your mental muscle when doing division.

If the divisor is not a whole number when dividing, move the decimal point in the divisor (smaller number) all the way to the right, to make it a whole number. Then also, move the decimal point in the dividend (larger number) the same number of places. Continue by dividing as usual. If the divisor doesn't go into the dividend evenly, add zeroes to the right of the last digit in the dividend and keep dividing until it comes out evenly or a repeating pattern shows up. Position the decimal point in the result directly above the decimal point in the dividend. You can check your answer if you multiply the answer by the divisor. Does it equal the dividend?

Understanding decimals is crucial to advanced mathematics and is one more thing students need to master in school. For expert math help and other academic programs, call The Tutoring Center in Bear today. (302) 832-2400

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