8th Grade Math Worksheets Decimals

In the realm of 8th grade math, working with decimals is a crucial skill to master. Whether you're a teacher in search of engaging resources or a student needing extra practice, finding suitable worksheets that cater to this specific subject can be a daunting task. However, with a wide range of carefully curated options available, students can solidify their understanding of decimals through targeted exercises and comprehensive worksheets.

  Fractions and Decimals Worksheets

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  8th Grade Equations Worksheets

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  Decimal Long Division Worksheets

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  7th Grade Math Worksheets

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  2nd Grade Math Problem Solving Worksheets

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  2-Digit Multiplication Worksheets

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  5th Grade Math Word Problems Worksheets

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  Adding and Subtracting Integers Worksheet

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  3rd Grade Math Worksheets Fractions

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  Math Multiplication Worksheets 3rd Grade 3

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  Equation

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  Equivalent Fractions Examples

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  Multiplying Fractions Word Problems Worksheet

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  Multiplying Fractions Word Problems Worksheet

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  Multiplying Fractions Word Problems Worksheet

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What is a decimal?

A decimal is a way to represent a number that is not a whole number, typically using a decimal point to separate the whole number part from the fractional part. It is a number system based on powers of 10, where each digit to the right of the decimal point represents a value that is a fraction of a power of 10.

How do you read and write decimals?

To read decimals, start from the left of the decimal point and read each digit individually, stating the place value (tens, ones, tenths, hundredths, etc.). To write decimals, place the decimal point in the correct position according to the place value of the digits. The decimal point separates the whole number part from the fractional part of the decimal. Remember that the value of each digit to the right of the decimal point decreases by a factor of 10 as you move further to the right.

What is the place value system for decimals?

The place value system for decimals is based on powers of 10, where each digit's position represents a different power of 10. Starting from the decimal point, the digits to the right of the decimal point represent tenths, hundredths, thousandths, and so on, with each position decreasing in value by a factor of 10. For example, in the number 0.235, the digit 2 is in the tenths place, the digit 3 is in the hundredths place, and the digit 5 is in the thousandths place.

How do you compare and order decimals?

To compare and order decimals, start by looking at the leftmost digit of each number. If the digits are different, the number with the larger digit is greater. If the leftmost digits are the same, move to the next digit. Continue this process until you find a point of difference. To order decimals from least to greatest, arrange them in ascending order based on their numerical value. Remember to align the decimal points for easier comparison.

How do you add and subtract decimals?

To add and subtract decimals, align the decimal points in the numbers and perform the operation as you would with whole numbers. If needed, pad with zeros to make the numbers have the same number of decimal places. Add or subtract the numbers as usual and then place the decimal point in the result to match the decimal point alignment in the original numbers.

How do you multiply decimals?

To multiply decimals, simply multiply the numbers as if they were whole numbers, without considering the decimal point. Then, count the total number of decimal places in the factors being multiplied. Add the total number of decimal places, and place the decimal point in the product that many places from the right. Finally, remove any trailing zeros that are not necessary.

How do you divide decimals?

To divide decimals, you need to set up the division problem just like with whole numbers. Then, you move the decimal point in both the dividend and divisor to make the divisor a whole number. After that, divide as you would with whole numbers, and finally, place the decimal point in the quotient directly above where it was in the dividend.

How do you convert decimals to fractions and vice versa?

To convert a decimal to a fraction, simply place the decimal value over 1 and expand the decimal to a fraction by moving the decimal point to the right until it is a whole number. To convert a fraction to a decimal, divide the numerator by the denominator using long division or a calculator.

How do you round decimals to a given place value?

To round decimals to a given place value, look at the digit to the right of the desired place value. If it is 5 or greater, increase the digit at the desired place value by 1. If it is less than 5, leave the digit at the desired place value as it is. Then, replace all digits to the right of the desired place value with zeros.

How do you solve word problems involving decimals?

To solve word problems involving decimals, follow these steps: 1. Read the problem carefully to understand the situation and what is being asked. 2. Identify the key information and what operations are needed to solve the problem. 3. Convert any percentages or fractions to decimals if necessary. 4. Perform the calculations using the appropriate operations (addition, subtraction, multiplication, or division) while keeping track of decimal placement. 5. Check your answer to ensure it makes sense in the context of the problem. Practice and familiarity with decimal operations will help you become more confident in solving these types of word problems.