7.1. Arithmetic Operations
Operation Keys
Enter the operations as they appear in the problem.
Tap the fraction bar twice if you want to use the ÷ (division) symbol.
Tap the multiplication key twice if you want to use the dot symbol for multiplication.
Example
Perform the series of operations: 2 + 3 – 5 × 4 ÷ 6 × 3
Calculator Solution
Enter the expression as it appears in the problem: 2 + 3 – 5 × 4 ÷ 6 × 3 by tapping the fraction bar twice for a division symbol ÷ and the multiplication key twice for a dot.
Enter the operations as they appear in the problem.
Tap the fraction bar twice if you want to use the ÷ (division) symbol.
Tap the multiplication key twice if you want to use the dot symbol for multiplication.
Example
Perform the series of operations: 2 + 3 – 5 × 4 ÷ 6 × 3
Calculator Solution
Enter the expression as it appears in the problem: 2 + 3 – 5 × 4 ÷ 6 × 3 by tapping the fraction bar twice for a division symbol ÷ and the multiplication key twice for a dot.
Fraction Bar ( / )
Use the fraction bar to enter fractions, mixed numbers, and rational expressions. To enter mixed numbers, tap the space bar after the whole number and then input the fraction. If the number format is set to Auto, results will be displayed as a fraction or a decimal depending on the format of the entered expression.
Example
Perform the indicated operation: 2 3/4 + 2/3 × 1/4 - 2/3.
Calculator Solution
Enter the expression as it appears in the problem: 2 3/4 + 2/3 × 1/4 - 2/3
Use the fraction bar to enter fractions, mixed numbers, and rational expressions. To enter mixed numbers, tap the space bar after the whole number and then input the fraction. If the number format is set to Auto, results will be displayed as a fraction or a decimal depending on the format of the entered expression.
Example
Perform the indicated operation: 2 3/4 + 2/3 × 1/4 - 2/3.
Calculator Solution
Enter the expression as it appears in the problem: 2 3/4 + 2/3 × 1/4 - 2/3
Minus Sign
To enter a negative number, use the minus sign.
Example
Perform the indicated operations: 2(–4) + (–3)( –8) ÷ (–4).
Calculator solution
Enter the expression as it appears in the problem: 2(–4) + (–3)( –8) ÷ (–4)
To enter a negative number, use the minus sign.
Example
Perform the indicated operations: 2(–4) + (–3)( –8) ÷ (–4).
Calculator solution
Enter the expression as it appears in the problem: 2(–4) + (–3)( –8) ÷ (–4)
Space Bar
Use a space bar to separate terms from an operation in an expression or to enter mixed numbers.
Example
Convert 2 ¾ into (1) an improper fraction and (2) decimal form.
Calculator solution
Enter the expression as it appears in the problem: 2 3/4 with a space bar between "2" and "3/4"
Use a space bar to separate terms from an operation in an expression or to enter mixed numbers.
Example
Convert 2 ¾ into (1) an improper fraction and (2) decimal form.
Calculator solution
Enter the expression as it appears in the problem: 2 3/4 with a space bar between "2" and "3/4"
Grouping Terms Using Parentheses
Parentheses are used to group terms together and indicate which operations should be performed first.
Tap the parentheses key twice to use brackets. Note: square brackets are primarily used for matrices, vector entries, and variable indexes.
Example 1
Perform the indicated operations: (2 + 3 × 4) ÷ 7
Calculator Solution
Since the numerator in the expression involves two operations, we have to write it in parentheses before dividing by 7.
Enter the expression as it appears in the problem: (2 + 3 × 4) ÷ 7
Parentheses are used to group terms together and indicate which operations should be performed first.
Tap the parentheses key twice to use brackets. Note: square brackets are primarily used for matrices, vector entries, and variable indexes.
Example 1
Perform the indicated operations: (2 + 3 × 4) ÷ 7
Calculator Solution
Since the numerator in the expression involves two operations, we have to write it in parentheses before dividing by 7.
Enter the expression as it appears in the problem: (2 + 3 × 4) ÷ 7
Example 2
What should be added to –3x + 4 to get a sum of 3x + 5?
Problem
(–3x + 4) + ? = 3x + 5
Algebraic Solution
To find the missing expression, subtract -3x + 4 from 3x + 5. Since both expressions involve two terms, we need to group each of them in parentheses.
Calculator Solution
Enter the expression: (3x+5) - (-3x+4)
What should be added to –3x + 4 to get a sum of 3x + 5?
Problem
(–3x + 4) + ? = 3x + 5
Algebraic Solution
To find the missing expression, subtract -3x + 4 from 3x + 5. Since both expressions involve two terms, we need to group each of them in parentheses.
Calculator Solution
Enter the expression: (3x+5) - (-3x+4)
Decimal Point
Use a decimal point to separate a whole number from its decimal part.
Example
Perform the indicated operations: 2.356 + 6.789 – 2.002 × 2.35
Calculator Solution
Enter the numbers, operations and decimal points as they appear in the problem.
Type the expression: 2.356 + 6.789 – 2.002 × 2.35
Use a decimal point to separate a whole number from its decimal part.
Example
Perform the indicated operations: 2.356 + 6.789 – 2.002 × 2.35
Calculator Solution
Enter the numbers, operations and decimal points as they appear in the problem.
Type the expression: 2.356 + 6.789 – 2.002 × 2.35
Comma
Tap the decimal point twice to enter a comma. Commas are used to enter pairs of numbers including ordered pairs, intervals, permutations and combinations.
Example
Find:
1) 4C2
2) 12P3
Calculator solutions
1) Tap n! twice to use combinations, then enter: (4, 2)
2) Tap n! three times to use permutations, then enter: (12, 3)
Tap the decimal point twice to enter a comma. Commas are used to enter pairs of numbers including ordered pairs, intervals, permutations and combinations.
Example
Find:
1) 4C2
2) 12P3
Calculator solutions
1) Tap n! twice to use combinations, then enter: (4, 2)
2) Tap n! three times to use permutations, then enter: (12, 3)