MS in Mathematics in the Modern World MATHEMATICAL SENTENCE A mathematical sentence is the analogue of an English sentence. It is a correct arrangement of mathematical symbols that states a complete thought. Examples:l+2=3;x+5=1 MATHEMATICAL EXPRESSION The mathematical analogue of an English noun. A correct arrangement of mathematical symbols used to represent a mathematical object of interest. An expression does NOT state a complete thought. Examples: 1 + 2; x - 5 Example: Choose a quantity to be represented by a variable, then write a mathematical expression for \"Lota's age in 5 years". Answer: Let x = present age of Lota; then x + 5 (Lota's age in 5 years) PRACTICE EXERCISE. A. Classify each entry as a mathematical expression or a mathematical sentence. 1) l+5+x 2)l+2+x:5 3)7=35 4)x.5 5)0=1 B. Translate each of the following phrases into a mathematical expression. Use as few variables as possible. 1) The sum of a number and 10. 2) The product of two numbers. 3) The product of 1 and a number. 4) One-half times the sum of two numbers. 5) Twice a number. 6) Five less than a number. 7) A number, less 8. 8) Six more than a number. 9) A number, plus 6. 10) The square of a number. 11) The distance traveled by a man driving at the rate of 60 kph. 12) A three-digit number whOse hundreds digit is half the tens digit, and the tens digit is 2 more than the units digit. EVALUATION/ASSESSMENT. Write your answer in a one whole sheet of pad paper. A. Classify each entry as a mathematical expression or a mathematical sentence. 1) 0.062; + 0.075 2) 0.4y : (r + y)n 3) 5y/lO B. Translate each of the following phrases into a mathematical expression. Use as few variables as possible. Write your answer in a one whole sheet of pad paper. 1) Four times the square of a number. 2) One-half of a number. 3) Three less than twice a number. 4) Five more than three times a number. 5) The square of the sum of 5 and a number. 6) The sum of the squares of two numbers. 7) There are twice as many boys as there are girls. 8) There are It) more cars thanjeeps. 9) A man's age 10 years ago. 10) The area of a rectangle whose length is 7 more than the width. 1 I)The sum of three consecutive even integers. 12) The fraction of work done by man who can finish a job in 3 hours and 20 minutes. ASSIGNMENT. Translate each of the following phrases into a mathematical expression. 1) The perimeter of a rectangle whose length is twice the width. 2) The total peso value of 20 coins consisting of PS-coins and PIG-coins