# Decimal calculator

**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.

Be careful, always do

**multiplication and division**before

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

#### Examples:

• addition of decimals: -1.5 + 2.45• 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? - Ratio

Increase in the ratio 20:4 number 18.5. - Rolls

Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls left when Peter yet put two at dinner? - Ratio v2

Decrease in the ratio 12:16 number 13.2. - Package

The package was 23 meters of textile. The first day sold 12.3 meters. How many meters of textile remained in the package? - Lowest terms

Reduce to the lowest terms: 32/124 - Tenths digit

For 10.932, which digit is in the tenths place? - 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? - What is one third

What is 1/3 as a decimal? Give your answer rounded to 2 decimal places. - Sharing chocolate

Fredericca and her friends share 6 chocolate bars. They *each* get 0.75 of a chocolate bar. How many friends did Fredericca share the chocolate bar with? - Angie

Angie poured 4 cartons of milk, each with 2.4 litres, into a mixing bowl. How many litres of milk were there altogether? - Double 5

Peter was thinking of a number. Peter doubles it and gets an answer of 8.6. What was the original number? - Equation 11

Solve equation: 0=y-1,2.(y-1,5) - Andy had

Andy had $5.95 in his pocket. His father gave him another $3.55. How much does Andy have altogether now? - Bureaucracy

23 people attended the office. 9 of them completed the questionnaire. What is the percentage of all people? - Zhiwei

Zhiwei wants to divide 19 liters of water equally into 6 pots. Find the volume of water in each pot? - Rounding

Double round number 727, first to tens, then to hundreds. (double rounding)

next math problems »