Multiplication of 2 and digit numbers Multiply and SHOW WORK. EXAMPLE 205 12 10 2050 2,60 Now try these on your own! Remember to show all work neatly! 1. 6 2 2. 28 8. 95 7. 82 26 5. 905 15 6. 260 59 7. 26 80 8. 126 21 9. 95 507
DIVIDING WHOLE NUMBERS Divide to find each quotient. Round the result to the nearest tenth if necessary. Remember to divide through the hundredths place when rounding to the nearest tenth! Example: 596 2 1.19 2 596.00 2 176 168 80 2 80 78 You may stop now because you need to use the hundredths position to round to the nearest tenth. Answer: 1. 19 rounded to the nearest tenth is 1. 2 Now try these on your own! Remember to show all work neatly! 1) 82 0 2) 7,752 8 ) 8,067 9 ) 1,926 18 5) 1,956 81 6) 1,1 51
Decimals and Place Value Each digit in a whole number or a decimal has both a place and a value. Answer each of the following questions using the number: 56,012.987 Ex. What is the value of the digit 6? What is the value of the digit 9? The six is in the thousands place. The 9 is in the hundredths place. It therefore has a value of 6(1000)=6,000 It has a value of 9(0.01) or 0.09. A) What is the value of the digit 1? B) What is the value of the digit 8? C) What is the value of the digit 5? D) What is the value of the digit 7? Reading and Writing Decimal Word Names Examples: 6.8 thirty-six and eight tenths 601.09 six hundred one and nine hundredths 20.10052 twenty and ten thousand, fifty-two hundred-thousandths 0.000076 zero and seventy-six millionths REMEMBER TO USE COMMAS AND DASHES WHERE APPROPRIATE!!!!! Try to complete the table below on your own! Problem Decimal Numeral Decimal Word Name A 25. Twenty-five three tenths B 18.006 Eighteen and C 2,010. Two thousand, D 62,001.008 E Ninety-three ten-thousandths F One hundred and one hundredth G Eighty-seven thousand and sixteen thousandths
Addition and Subtraction of Decimals Words of advice: You add or subtract decimals just as you do whole numbers. First you write them vertically (up and down). You line up the decimal points and then add or subtract. Use zeros to make the columns even. Examples: Find each sum or difference. Show all work neatly! Circle your final sum or difference. a) 7.6 + 8.1 b) 8. 59 7.6 7.600 8 8.000 + 8.1 + 8.1 -.59 -.59 6.01.07 Now try these on your own! Remember to show all work neatly! Circle your final answer. 1) 1.2 0. 12 2) 6.76 1. 5 ) 10 0. 26 ) 0.8 0. 17 5) 12.5 2. 8 6) 7 0. 5 7) 0.2 0. 019 8) 1.58 0. 02
WHERE DOES THE DECIMAL POINT BELONG? A) Multiply 0.5. B) Multiply 0.07 100 Move the decimal point 2 places to the right.5 Place the decimal point Answer: 0.07. by counting the number of decimal places in the Divide 52. 1000 212 factors. Move the decimal point places to the left 1590 Answer : 0.052 1802 Answer: 1.802 (place the decimal point places from the right) Now try these on your own! A) Multiply as indicated. Show all work neatly. Circle your final value. 1. 5.7. 2 2. 0.08 7. 7.2 0. 18. 8 2. 1 5. 0.0 0. 5 6. 2.1 0. 006 B) Multiply or Divide using your knowledge of powers of ten. Circle your final value. 7. 86.2 1, 000 8. 0.98 10 9. 62.5 1000 10..89 10 11. 76 100 12. 7 100
FORMS OF FRACTIONS 9 9 2 A) Write in simplest form. B) Write as C) Write as an 2 5 is the greatest common factor 9 2 9 2 8 a mixed number improper fraction 9 2 with remainder 5 15 and of 1 15 2 17 9 1 = 2 2 17 5 5 Now try these on your own! Circle your final answer. A) Write each fraction in simplest form. 1) 12 8 2) 25 0 ) 27 6 ) 18 2 B) Write each improper fraction as a mixed number in simplest form. 5) 1 5 6) 25 7) 0 6 8) 2 9 9) 71 8 10) 62 C) Write each mixed number as an improper fraction in simplest form. 11) 2 1 12) 1) 7 1 2 8 1) 2 6 15) 6 5 16) 9 8
Adding and Subtracting Fractions and Mixed Numbers Find a least common denominator. Add or subtract as indicated using the least common denominator. Mixed numbers should remain mixed numbers. Borrow as needed. Circle your final value in simplest form. EXAMPLES: A. 2 1 2 B. 2 5 7 C. 1 5 2 2 SOLUTIONS: A. 2 12 10 22 7 1 B. 5 15 15 15 15 1 7 21 2 6 2 2 7 21 1 6 21 C. 1 2 6 5 5 2 2 2 2 2 PROBLEMS: 1. 1 2 7 1 2.. 5 9 8 6. 9 2 2 1 5. 6. 10 5 7 2 7 11 8 5 7. 1 2 12 8 8. 5 6 2 9. 9 5 1 15 6 5
Multiplication of Fractions and Mixed Numbers Words of advice: In order to multiply fractions and/or mixed numbers, you need to make sure that each number in your product has a numerator and a denominator. In other words, if you are given a whole number, put it over the number 1. Likewise, if you are given a mixed number, convert it into an improper fraction. Once all numbers have a numerator and a denominator, multiply across the top and across the bottom. Then, simplify your answer if possible. Write your final answer as a mixed number! Examples: Find each product. Write the answer in simplest form. a) 2 1 = b) 5 15 1 5 First, write the whole number as a fraction, First, convert to improper fraction, then multiply: Then, multiply across: 7 21 5 20 1 = simplify = simplify = 1 1 5 70 10 1 15 15 EXERCISES: Find each product. Show all steps neatly. Circle each answer in simplest form. 9 1 1) 10 1 1 2) 5 2 7 1 ) ) 12 2 8 1 1 5) 1 2 6) 1 2 9 5 7) 26 1 1 8) 6
Geometry Rainbow Part I: Grab your colored pencils and let s have some fun! Color each figure as designated. Square = Red Regular Pentagon = Blue Circle = Yellow Rhombus = Orange Rectangle = Green Equilateral Triangle = Black yds ½ yds ydsyds 18 inches 15 mm ft ft. 18 inches ft.. 2 ½ ft Part II. Match the formulas with figures above by circling the formula in the color(s) you used in Part I. P=s P=5s P=2l + 2w P=s C = 2 π r A=½bh A=lw A=s 2 A=bh A = π r 2 Reminder: Area is always measured in units! Part III. Use the perimeter and area formulas Find the perimeter of the regular pentagon. Choose the appropriate formula: P = 5s Substitute the given information: P = 5(15mm) Compute: P = 75mm Concluding Sentence: The perimeter of the regular pentagon above is 75mm. Find the area of the triangle in Part I Find the circumference of the circle in Part I.