Transcript (7 x 100) +
Math Vocabulary. Lessons indicated in parenthesis (). 1. (32) Expanded notation (or form): a way of writing a number as the sum of the products of the digits and the place values of the digits. In expanded notation 6753 is written: (6 x 1000) + (7 x 100) + (5 x 10) + (3 x 1) 2. (32) Standard notation (or form): our usual way of writing numbers. Ex. 5280 3. (1,3)Commutative property – Being able to switch the order of numbers in multiplication and addition and not change the answer. 5 + 2=2 + 5 4. (1) Inverse operations- Operations that “undo” one another. Addition & subtraction are inverse operations. 3 + 6 – 6 = 3; 3 – 6 + 6 = 3 5. (1,2,3) Identity property – When a number stays the same after being added or multiplied. In addition a number keeps its identity when added to zero. In multiplication a number keeps its identity when multiplied by 1. 6. (5) Associative property – The grouping of numbers in addition or multiplication does not change the answer. A + (b + c) = (a + b) + c; a x (b x c) = (a x b) x c 7. (2) Factor: 1. A whole number that divides another whole number without a remainder. The numbers 3 and 5 are factors of 15. 2.One of two numbers that are multiplied. 3 x 5 = 15 The factors in this problem are 3 and 5. 8. Greatest common factor: The largest whole number that is a factor of two or more given numbers. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common factor of 12 and 18 is 6. 9. (30) Least common multiple – The smallest whole number that is a multiple of two or more given numbers. Multiples of 6 are 6, 12, 18, 24, 30, 36… Multiples of 8 are 8, 16, 24, 32, 40, 48… The least common multiple of 6 and 8 is 24. 10. (14) Integer – set of counting numbers, including negatives, positives and zero. This does not include fractions or decimals. Integers: (…-2, -1, 0, 1, 2,…) Not integers: any decimals or fractions such as 15/8, -0.98 11. Addition: answer is called the sum 12. Subtraction: answer is called the difference 13. Multiplication: factor x factor = product 14. Division: Dividend ÷ divisor = quotient 15. (7) Line segment – part of a line that has two endpoints. 16. (7) Line – a line with no endpoints, indicated by arrowheads at each end. 17. (7) Ray – has one endpoint and one arrowhead. Roughly represented by a beam of sunlight. The beam begins at the sun and continues across space. 18. (110) Symmetry – A figure has line symmetry if it can be divided in half so that the halves are mirror images of each other. 19. (60) polygon – a closed, flat shape with straight sides. 20. (60) regular polygon – a polygon in which all sides have equal lengths and all angles have equal measures. 21. (60) quadrilateral – any four-sided polygon 21. (27) radius – The distance from the center of a circle to a point on the circle 22. (27) diameter – The distance across a circle through its center. 23. (60) Congruent – Having the same size and shape. 24. (109) Similar – Having the same shape but not necessarily the same size. Corresponding angles of similar figures are congruent. 25. (108) Transformation: The changing of a figure’s position through rotation (turn), reflection (flip), or translation (slide). 26. (96) Function – a rule for using one number (an input) to calculate another number (an output). 27. (18) mean – also called average; the number found when the sum of two or more numbers is divided by the number of addends. To find the mean or average of 5, 6, 10, first add 5 + 6 + 10 = 21 Then, since there were three addends, divide the sum by 3. 21 ÷ 3 = 7 The mean or average of 5, 6, and 10 is 7. 28. (inv. 5) median – the middle number (or the average of the two central numbers) of a list of data when the numbers are arranged in order from the least to the greatest. 29. (inv. 5) mode – the number or numbers that appear most often in a list of data. 30. (inv. 5) range – the difference between the largest number and smallest number in a list. METRIC SYSTEM (7) pg. 37 milimeter (mm) thickness of a dime centimeter (cm) 10 millimeters, thickness of little finger tip 100 centimeters, a little over a yard meter (m) kilometer (km) 1000 meters, distance walked in 12 minutes (a little less than a mile) Triangle Classification (93) Equilateral triangle (regular) All three sides are equal in length. Isosceles triangle At least two of the three sides are equal in length. Scalene All three sides have different lengths Acute Triangle All three angles are acute Right Triangle One angle is a right angle. Obtuse Triangle One angle is an obtuse angle. Please write your answers on a math homework page. Show all work when necessary. 1. (32) A way of writing a number as the sum of the products of the digits and place values of the digits is ____________________. 2. (32) 2,045,879,613 This number is written in ______________ form or notation. 3. (1) 5 + 0 = 5 demonstrates the ______________ property of addition. 4. (1) 4 + 5 =9 9 – 4 = 5 demonstrates ____________ operations that can “undo” addition. 5. (49) 3.5 ÷ 0.07 6. (32) write (5 x 1000) + (2 x 100) + (8 x 10) in standard form (notation). 7. (32) What time is 3 hrs. 30 minutes after 6:50 a.m.? 8. (32) write 7500 in expanded notation. 9. (32) A group began the hike at 6:45 a.m. and finished at 11:15 a.m. For how long did they hike? 10. (32) Write (6x100) + (2x1) in standard form 11. (7) Select the appropriate unit for measuring the length of a soccer field: A centimeters B meters C kilometers 12. (7) Which of these units is most appropriate for measuring the length of a pencil? A inches B yards C miles 13. (7) A meterstick is 100 centimeters long. One hundred centimeters is how many millimeters? 14. Compare: 1 mm 1 cm 15. pg. 67 number 16 16. (7) If you know the length of an object in centimeters, how can you figure out the length of the object in millimeters without remeasuring? Please write your answers on a math homework page. Show all work when necessary. 17. (5) 5 + (3 x 4) 18. (5) (5 + 3) x 4 19. (108) pg. 564 number 7 20. (108) pg. 110 number 23 21. (108) pg. 586 number 27 22. (110) pg. 586 number 20 23. (110) pg. 590 number 24 a. 24. (110) pg. 595 number 19 a. 25. (49) 1.24 ÷ 0.04