Name TOPIC 1 Set A pages 9–14 Use a place-value chart to write 200,301,400. Expanded form: 200,000,000 + 300,000 + 1,000 + 400 Word form: two hundred million, three hundred one thousand, four hundred hu nd te red n m mi on illio llion e s m ns ill hu i nd on s te red n t h th o on ous usa e a nd n t s hu hou ds sa nd n ds te red s ns on es d od erio iod peri ds p nes per n s n a s o i o mill thou Remember that periods can help you read large numbers. Reteaching Write each number in expanded form and word form. 1. 27,549 2. 6,792,065 2 0 0, 3 0 1, 4 0 0 Set B pages 15–20 Relate the values of the 4s in the number 441. s dred hun tens s one 4 4 1 The first 4 is in the hundreds place. Its value is 400. The second 4 is in the tens place. Its value is 40. The value of the 4 in the hundreds place is 10 times the value of the 4 in the tens place. Remember that when two digits next to each other in a number are the same, the one on the left is 10 times greater than the one on the right, and the one on the right is one-tenth the value of the one on the left. In 1 and 2, name the values of the given digits. 1. the 8s in 5,188 2. the 7s in 7,740,000 3. In 687,332,195, how is the value of the three in the ten thousands place related to the value of the 3 in the hundred thousands place? Set C pages 21–26 Use place value to compare 45,423 and 44,897. Start comparing from the left. Look for the first digit that is different. 45,423 44,897 5+4 So, 45,423 7 44,897. Remember that you can use place value to compare numbers using symbols. Write 6 or 7 in the 1. 735,291,000 ○. ○ 735,291,001 Order the numbers from greatest to least. 2. 622,981 614,762 621,046 Topic 1 Reteaching 77 Set D pages 27–32 Remember to look at the number to the right of the rounding place. Then change the digits to the right of the rounding place to zeros. Round 764,802 to the nearest hundred thousand. hundred thousands place 764,802 800,000 Round each number to the place of the underlined digit. The digit to the right of the rounding place is 6. Since 6 7 5, round by adding 1 to the digit in the hundred thousands place. So, 764,802 rounds to 800,000. 1. 166,742 2. 76,532 3. 5,861 4. 432,041 5. 132,505 6. 257,931 Set E pages 33–38 Ann says that 785 is greater than 758, and 758 is greater than 685. So, 785 is greater than 685. Write and explain whether her reasoning is correct. Drawing a picture is often helpful in writing explanations. For this problem, a number line can be included in the explanation. 650 675 700 725 750 775 800 Because 785 7 758, and 758 7 685, then 685 will be to the left of 758 and 785 on the number line. So, 785 7 685. Therefore, Ann's reasoning is correct. Remember that a good explanation should be correct, simple, complete, and easy to understand. It is sometimes helpful to use words that indicate order like first, then, next, and finally. Write to explain. 1. A number is multiplied by 2. Then that product is multiplied by 5. Write to explain how you know what digit is in the ones place of the final product. 2. Explain how to round 750,890,002 to the nearest million. Use digital tools to solve these and other Reteaching problems. 78 © Pearson Education, Inc. 4 Name TOPIC 1 Set F pages 39–44 Write 4 dollars, 8 dimes, and 2 pennies with a dollar sign and a decimal point. rs Dolla s) e n o ( s Dime s) h t n e t ( . 4 ies Penn hs) dt undre (h 8 2 Read: four dollars and eighty-two cents Remember that a dime is one tenth of a dollar, and a penny is one hundredth of a dollar. Reteaching Continued Write each amount with a dollar sign and a decimal point. 1. 3 dollars + 4 pennies 2. 1 dollar + 5 dimes + 6 pennies Write: $4.82 3. 9 dollars + 6 dimes 4. 4 dimes + 9 pennies Set G pages 45–50 Write the decimal shown in expanded form, standard form, and word form. s one 2 . ths hs dred tent h un 0 1 Expanded form: 2 + 0.01 Standard form: 2.01 Word form: Two and one hundredth Remember to use the word and for the decimal point. Write the following in word form and expanded form. 1. 12.13 2. 11.1 3. What is the value of the 9 in 1.09? Set H pages 51–56 1 as a decimal. Write 100 1 100 is one hundredth, or 0.01. 1 100 = 0.01 Remember that you can read the decimal and write what you say when writing a decimal as a fraction. You can also read fractions that have 10 or 100 as a denominator to help you write the equivalent decimal form. Write each fraction as a decimal. 8 1. 10 94 2. 100 Write each decimal as a fraction. 3. 0.4 4. 0.53 Topic 1 Reteaching 79 Set I pages 57–62 Show 7.7 on a number line. Divide the distance from 7 to 8 into 10 equal lengths. Label the tick marks, and draw a point at 7.7. Remember that distances between tick marks are equal. J KL M N O 5.40 5.45 5.50 5.55 5.60 5.65 5.70 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0 Name the decimal at each point. 7 of 10 parts or 0.7 2. M 1. K 3. O Name the point for each decimal. 4. 5.6 5. 5.5 6. 5.42 Set J pages 63–68 Order 0.2, 0.7, and 0.1 from least to greatest. 0.2 0.7 0.1 Use the tenths place to order. The least number is 0.1. The greatest number is 0.7. The order from least to greatest is 0.1, 0.2, 0.7. Remember to check if you are ordering from least to greatest or greatest to least. Order the numbers from least to greatest. You can use concrete objects like place-value blocks or visual models like hundredths grids to help. 1. 0.6, 0.3, 0.7 2. 0.99, 0.09, 0.9 Set K pages 69–74 A biking trail is being planned for a town. Where should the 2-mile marker be placed? 0 0.5 1.0 1. Look at the walking path below. Will begins at the starting point and walks 0.6 mile. Where on the path would Will end his walk? 2.0 What do I know? The biking trail must be at least 2 miles long. The 0.5-mile mark is located on the drawing. What am I asked to find? Where would the 2-mile mark be located on the drawing? 0 Think: 1.0 is double 0.5, and 1.0 is half of 2.0. Measure the distance from 0 to 0.5. Double this distance. Mark 1.0. Now double this distance and mark 2.0. 80 Remember that you can use a ruler to measure the distance between each mark. 0.3 2. Kate has marked a distance of 0.5 ft on a wall. Where would she mark a distance of 3 ft on the wall? How did you determine the location? 0 © Pearson Education, Inc. 4 0.5
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