Decimal Worksheets for Grade 4

Decimal worksheets are an essential tool for fourth-grade students learning about this key mathematical concept. These worksheets provide practice and reinforcement for understanding decimals as an entity and subject, allowing students to develop their skills in a structured and engaging way.

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What is a decimal?

A decimal is a system of numbers based on the powers of 10, where any number can be expressed as a whole number and a fraction of 10, with the position of the decimal point indicating its value relative to the whole number.

How do you read and write decimals?

To read decimals, say the whole number part, followed by "and," then read each digit after the decimal point individually as a whole number. For example, 3.25 is read as "three and twenty-five hundredths." To write decimals, place the decimal point in the correct position to indicate the value of each digit relative to the whole number. The placement of the decimal point determines the value of each digit in relation to the whole number.

What is the place value of the digit to the right of the decimal point?

The place value of the digit to the right of the decimal point is tenths.

How do you compare decimals using the symbols >, <, and =?

To compare decimals using the symbols >, <, and =, you need to look at the place value of each digit starting from the left. Begin comparing the digits in the highest place value position first (e.g. tenths, hundredths, thousandths, etc.) and work your way towards the right. If the digits are the same at a certain place value, move to the next place value to continue the comparison. The decimal number with the larger digit in the highest place value position is considered greater, while the one with the smaller digit is lesser. If all digits are the same up to a certain position but one number has more decimal places, then it is considered greater.

How do you add and subtract decimals?

To add and subtract decimals, align the decimal points of the numbers and then carry out the operations as you would with whole numbers. Remember to line up the place values correctly when adding or subtracting, and do not forget to include the decimal point in the answer. Additionally, you can use zero as a placeholder to ensure the decimal points align properly when performing calculations.

How do you multiply decimals?

To multiply decimals, you first multiple the numbers as if they were whole numbers. Then, count the total number of decimal places in the two numbers being multiplied and place the decimal point in the product that many places from the right. If necessary, add zeros to fill in any empty spaces.

How do you divide decimals?

To divide decimals, you can treat them as whole numbers and divide as usual. However, you must ensure that the decimal places align in the divisor and dividend. If needed, you can add zeros to the dividend to make the numbers align properly. Then, perform the division as you would with whole numbers, and the decimal point in the quotient should be placed directly above the decimal point in the dividend.

How do you convert fractions to decimals?

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). The resulting decimal can be represented as a whole number, a terminating decimal (e.g., 0.75), or a repeating decimal (e.g., 0.3333...). If needed, you can also use a calculator to perform the division.

How do you convert decimals to fractions?

To convert a decimal to a fraction, you can follow these steps: 1. Write down the decimal as a fraction with the decimal part as the numerator and a power of 10 as the denominator (e.g., for 0.75, it would be 75/100). 2. Simplify the fraction by finding the greatest common factor between the numerator and the denominator, then divide both by this factor to get the simplest form of the fraction (e.g., 75/100 simplifies to 3/4).

How do you solve word problems involving decimals?

To solve word problems involving decimals, it is important to read the problem carefully and identify the key information given. You should determine the operation needed (addition, subtraction, multiplication, or division) and then carry out the calculation with the decimal numbers. Make sure to align the decimals correctly and pay attention to units of measurement if applicable. It may be helpful to convert fractions to decimals or vice versa if needed. Finally, remember to check your answer for accuracy before concluding.