Decimals Worksheets

Use decimal notation for fractions with denominator 10 or 100: write 7 tenths as 0.7 and 62 hundredths as 0.62, convert back, and read or mark a decimal on a number line.

Compare two decimals to hundredths by reasoning about place value, and record the result with the symbols >, =, or <.

Understand that in a decimal, a digit is worth 10 times the digit to its right and one tenth of the digit to its left.

Multiply or divide a decimal by a power of 10 (10, 100, 1000), written as a number or with a whole-number exponent (10², 10³).

Identify the place value of a digit and the value it represents in decimals to the thousandths place — tenths, hundredths, thousandths.

Compare two decimals to thousandths using <, >, = by reasoning about place value. The two decimals are always similar: same digits scrambled, one digit different, a length trap, or an equal pair (5.NBT.A.3.b).

Read and write decimals to thousandths as base-ten numerals, number names (words), and expanded form.

Round decimals to any place: nearest whole number, tenth, or hundredth.

Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value. Use Focus to pick the operation.

Divide a decimal by a 1-digit whole number using long division, placing the decimal point in the quotient.

Multiply two decimals together, counting total decimal places to position the decimal point in the product.

Divide by a decimal divisor by shifting both decimal points to make the divisor a whole number, then dividing.

Convert fractions to decimals, including denominators of 10/100/1000 and fractions requiring division.

Convert common benchmark decimals (halves, fourths, fifths, eighths, tenths, twentieths, …) to fractions in simplest form.

Write numbers in scientific notation and back, compare magnitudes, and estimate very large or very small quantities.

Multiply, divide, add, and subtract numbers written in scientific notation.