# Decimal calculator

This calculator makes basic and advanced operations with decimals, real numbers, and integers. It also shows detailed step-by-step information about calculation procedures. Solve problems with two, three, or more decimals in one expression. Add, subtract and multiply decimals step-by-step. This calculator uses addition, subtraction, multiplication, or division for positive or negative decimal numbers, integers, real numbers, and whole numbers. This online decimals calculator will help you understand adding, subtracting, multiplying, or dividing decimals.

The calculator follows well-known rules for

**the order of operations**. The most common mnemonics for remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

**MDAS**- Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.

Be careful; always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

#### Examples:

• addition of decimals: -1.5 + 2.45• addition followed subtraction: 5+1-2

• multiplying decimals: 0.25 * 0.2

• division of a decimals: 5.2 / 0.5

• parenthesis: 3 + 7{4 + 3[2-(8 - 4)×3] + 5}×2

• 2nd power and order of evaluation: 6^2-(2*7+4^2)

• cube root: cuberoot(27)

• Convert fraction to a decimal: 3/4

• decimals and mixed numbers: 1.5 - 1 1/5

## Decimals in word problems:

- Expanded form

What is the expanded form of 0.21? - My whole

My whole number is 88 if you add 5 thousandths, 8 tenths, and 7 thousandths. What number will I be? - Whole numbers

Pavol wrote down a number that is both rational and a whole number. What is one possible number she could have written down? - Rolls

Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls were left when Peter yet ate two at dinner? - Lowest terms

Reduce to the lowest terms: 32/124 - Decimal number

I am a decimal number between 0.3 and 0.5. the digit in my hundredth place is five more than the digit in tenth place, off the number in tenth place is 4. what is the number? - Tenths digit

For 10.932, which digit is in the tenth place? - Numbers: 81048

Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?) - Significant figures

How many significant figures are present in each of the measured quantities? A. 0.0012 B. 900.0 C. 108 D. .0012 E. 2006 F. 0.002070 - Which 14

Which set of rational numbers is arranged from least to greatest? A) -3.5, negative 1 over 4, 2, 1 over 3 B) -3.5, negative 1 over 4, 1 over 3, 2 C) 2, 1 over 3, negative 1 over 4, -3.5 D) negative 1 over 4, 1 over 3, 2, -3.5 - Ratio

Increase in the ratio 20:4 number 18.5.

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