# Decimal calculator

## Result:

### (-3)*7 * 4 = -84

Spelled result in words is minus eighty-four.### Calculation steps

- Multiple: -3 * 7 = -21
- Multiple: the result of step No. 1 * 4 = -21 * 4 = -84

**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:

- Double 5

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

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

Dinesh ate 3 cookies, each with mass 1.45 g. What was the total mass of the cookies that he ate? - Wood

Wood cube with edge 11 cm weights 0.753 kg. What weight have 10, 100 and 1000 these cubes? - Milk

Mum bought 16 cartons of milk. One carton of milk weighs 0.925 kg. How many weight all purchase? - Ratio - proportion

Reduce the number 16 in proportion 3:2 5:4 11:8 - Without 2

Without multipying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explane how you know. Then find the product. - Justin

Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account? - PLUS MINUS product

A. Deduct 15.728 from the sum of 23.234 and 6.23 B. Add 15.756 to the difference of 26.845 and 4.342 C. Find the product of 0.86 x 0.05 D. Multiply 5.234 by 4.45 E What is the product of 23.97 multiply by 6.36? - Peter 4

Peter has salary 45,55 pesos per hour in a regular day and 2,5 times of regular rate over time. He worked 8 hours per regulars day and 4 hours of overtime. Find total amount of pay receive. - Farmer

The farmer farming 293 ha of arable land and the remaining 20% are meadows and pastures. How much land farmer owns? - Math test

In class 6.A are 26 students, and the teacher had managed to give tests to 13 students. 13 testes he gave in 6.5 min. How many pupils still haven't test? How long will it take the teacher to give tests to 43 students? - Division

Divide by the number 0.2 is the same as multiply by what number? - Cubic

Convert 660 m^{3}of natural gas volume to energy units kWh. Combustion of 1 cubic meter of natural gas is released energy 10.55 kWh. - Evaluate

The division of numbers 6 and 3 increase by-product of the numbers 115 and 0.1 - Compare

Compare fractions (34)/(3) and (12)/(4). Which fraction of the lower? - Expression 8

Evaluate this expressions: a) 5[3 + 4(2.8 - 3)] b) 5×(8-4)÷4-2

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