4.1 ALGEBRA. Division Patterns with Decimals. Unlock the Problem. Math Talk. Essential Question. Try This! Complete the pattern. Name B 150.


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1 ? Name 4.1 LGER ivision Patterns with ecimals Essential Question How can patterns help you place the decimal point in a quotient? Number and Operations 5.3.G MTHEMTIL PROESSES 5.1., 5.1. Unlock the Problem The Healthy Wheat akery uses 560 pounds of flour to make 1,000 loaves of bread. Each loaf contains the same amount of flour. How many pounds of flour are used in each loaf of bread? You can use place value patterns to help you find quotients. ividing by 10, 100, or 1,000 is the same as multiplying by 0.1, 0.01, or Underline the sentence that tells you what you are trying to find. ircle the numbers you need to use. Use placevalue patterns. ivide ,000 Look for a pattern in these products and quotients = = = = = = = ,000 = So, _ pound of flour is used in each loaf of bread. 1. s you divide by 10, 100, and 1,000, how does the position of the decimal point change in the quotients? Try This! omplete the pattern = = Houghton Mifflin Harcourt Publishing ompany = = = = Math Talk Mathematical Processes Explain how you can determine where to place the decimal point in the quotient Module 4 155
2 onnect ividing by 10 is the same as multiplying by 0.1 or finding 1 10 of a number. Example Liang used 25.5 pounds of tomatoes to make a large batch of salsa. He used onetenth as many pounds of onions as pounds of tomatoes. He used onehundredth as many pounds of green peppers as pounds of tomatoes. How many pounds of each ingredient did Liang use? Tomatoes: 25.5 pounds Onions: 25.5 pounds _ Think: = _ = _ Green Peppers: 25.5 pounds _ Think: _ 1 = 10 = 100 = _ So, Liang used 25.5 pounds of tomatoes, _ pounds of onions, and _ pound of green peppers. Math Talk Mathematical Processes Share and Show omplete the pattern = = = 4.56 Think: The dividend is being divided by 10, 100, and 1,000 so the decimal point will move to the _ one place for each equation. Explain what happens to the value of a number when you divide by 10, 100, or 1, ,000 = 2. 1,225 1 = _ = _ = _ 1, = _ 1, = _ 1,225 1,000 = _ = _ = _ 605 1,000 = _ = _ = _ Houghton Mifflin Harcourt Publishing ompany
3 Name Problem Solving lgebra Find the value of n n 100 = n 10 = Write Math Explain how you know that the quotient is equal to the product Problem Solving Use the table to solve Houghton Mifflin Harcourt Publishing ompany Image redits: (tr) Judith ollins/lamy Images 9. MultiStep bout how much more cornmeal than flour does each muffin contain? 10. If each muffin contains the same amount of sugar, how many kilograms of sugar, to the nearest thousandth, are in each corn muffin? 11. MultiStep The bakery decides to make only 100 corn muffins on Tuesday. How many kilograms of sugar will be needed? ry Ingredients for 1,000 orn Muffins Ingredient ornmeal Flour Sugar aking powder Salt Number of Kilograms Module 4 Lesson 1 157
4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 12. Orange crayons are usually made in batches of 100. If it takes 22 pounds of wax to make 100 orange crayons, then how much wax will you need to make one orange crayon? 0.22 pound 2 pounds 22 pounds pound 13. Use Symbols famous barbecue restaurant in Texas makes 1,000 pounds of barbecue pork each week. The owner has a catering order that requires 100 pounds of barbecue pork. The owner uses 44 pounds of sauce for every 1,000 pounds of barbecue pork. Which equation shows the amount of sauce needed for the catering order? 44 1 = 44 pounds = 4.4 pounds = 0.44 pound 44 1,000 = pound 14. MultiStep Loretta is trying to build the largest taco in the world. She uses 2,000 pounds of ground beef, onetenth as many pounds of cheese, onehundredth as many pounds of lettuce, and onethousandth as many pounds of hot sauce. How many pounds of lettuce and cheese does she use? 2,020 pounds 2,200 pounds 220 pounds 20 pounds TEXS Test Prep pply Ella used 37.2 pounds of apples to make applesauce. She used onetenth as many pounds of sugar as pounds of apples. How many pounds of sugar did Ella use? pound 3.72 pounds 372 pounds pound Houghton Mifflin Harcourt Publishing ompany
5 Homework and Practice Name Number and Operations 5.3.G MTHEMTIL PROESSES 5.1., ivision Patterns with ecimals Find the value of n n 100 = n 10 = ,000 = n 5. 1, = n 7. 9, n 10 = n 1,000 = Problem Solving Houghton Mifflin Harcourt Publishing ompany 10. Mr. aker drives 24.5 miles to his cousin s house. He drives onetenth as many miles to his nephew s house. How many miles does Mr. aker drive to his nephew s house? 11. Elena sews sequins on a skirt for the dance recital. She sews 100 sequins endtoend along the length of the skirt. The skirt is 50 centimeters long. What is the length of one sequin? Module 4 Lesson 1 159
6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 12. n online bookstore ships boxes with a copy of the new bestseller in each box. The total weight of the shipment is 1,200 pounds. If each box weighs 1.2 pounds, how many boxes are shipped? 10 10,000 1, car dealership uses 1,350 gallons of gasoline to fill the tanks of 100 of their compact cars. How much gas does each tank hold? 13.5 gallons 1.35 gallons 135 gallons gallon 100 Violet sells homemade granola at the Saturday market. Her recipe makes 10 large bags of granola or 100 snacksize bags. Use Violet s recipe at the right for Which equation shows the number of grams of almonds in one large bag? = grams = grams = grams ,000 = gram ulk Granola Recipe Ingredient Number of Grams Oats 3000 lmonds Sunflower seeds ried fruit 1, MultiStep What is the total number of grams of oats and sunflower seeds in one large bag? grams grams grams 16. MultiStep How many grams of sunflower seeds are in two snacksize servings of granola? grams 91 grams grams 9.01 grams grams 160 Houghton Mifflin Harcourt Publishing ompany
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