Decimals

Decimals are a way of representing a part of a whole number. They are used to express numbers that are not whole, such as fractions or portions of a whole. In a decimal number, a dot (.) is used to separate the whole number part from the fractional part.

Place Value of Decimals

Each digit in a decimal number has a specific place value based on its position to the right of the decimal point. The place values of decimal digits are powers of 10, with the value decreasing from left to right as follows: tenths, hundredths, thousandths, and so on.

Converting Decimals

Decimals can be converted to fractions and vice versa. To convert a decimal to a fraction, the decimal number is written as the numerator, and the place value of the rightmost digit becomes the denominator. For example, 0.5 is equivalent to 5/10, which simplifies to 1/2.

Operations with Decimals

Decimals can be added, subtracted, multiplied, and divided following similar rules to whole numbers. When performing these operations, it is important to align the decimal points and adjust the number of decimal places in the result accordingly.

Real-Life Applications

Decimals are used in various real-life situations, such as measuring lengths, weights, and volumes, calculating money, and representing percentages.

◂Math Worksheets and Study Guides Second Grade. Place Value

Vocabulary/Answer key

Place Value

Vocabulary/Answer key

Place Value

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Use multiple models to develop initial understandings of place value and the base-ten number system.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the quantities they represent, using various physical models and representations.

Grade 2 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of the base-ten numeration system and place-value concepts

Children develop an understanding of the base-ten numeration system and place-value concepts (at least to 1000). Their understanding of base-ten numeration includes ideas of counting in units and multiples of hundreds, tens, and ones, as well as a grasp of number relationships, which they demonstrate in a variety of ways, including comparing and ordering numbers. They understand multi-digit numbers in terms of place value, recognizing that place-value notation is a shorthand for the sums of multiples of powers of 10 (e.g., 853 as 8 hundreds + 5 tens + 3 ones).