&&66 5HDGZULWHDQGFRPSDUHGHFLPDOVWRWKRXVDQGWKV NS 1.1*1%7 Estimate, round, and manipulate very large (e.g., millions) and UNDERLYING SKILLS AND CONCEPTS: very small (e.g., thousandths) numbers. use place value; understand numbers less than 1 Understand Decimal Place Value A decimal is a fractional number with a denominator of 10, 100, 1,000 or some other power of ten. A decimal number is written with a decimal point, “.”. The decimal point separates the whole number part from the fractional part. Like whole numbers, digits in decimal numbers have a place value. 9 , Hundreds Tens Ones 6 3 2 Look at the decimal point. To the left, the digits show how many ones, tens, hundreds, thousands, ... E x am p l E Tenths . Hundredths Thousandths 1 2 8 To the right, the digits show how many tenths, hundredths, thousandths ,... If the decimal is less than 1, write a 0 in the ones place. 1 Read the number 0.4 as a decimal. The place value chart shows four tenths, 0.4. To read a decimal number that has no ones, skip the 0. Then read the number as you usually would and look at the value of the last digit. The 4 is in the tenths place, so read “four tenths.” E x am p l E Ones 0 2 Ones Tenths Read the number 0.25 as a decimal. 0 . 2 The place value chart shows the number 0.25. To read a decimal, read the number as you usually would, 25. Then look at the value of the last digit. The digit 5 is in the hundredths place, so 0.25 is “twenty-five hundredths.” What is the value of the 5 in 0.25? 5 hundredths.” E x am p l E 3 Read 3.047. Read the decimal in words. To read the decimal with some ones, read the number as you would a whole number. Use “and” to tell where the decimal point is. Then look at the value of the last digit. So, 3.047 is “three and forty-seven thousandths”. page 134 Ones 3 Tenths . 0 Tenths . 4 Hundredths 5 Hundredths Thousandths 4 7 Chapter 12 – Lesson 1 E – © CSL Associates, Inc. All rights reserved. Thousands Name P RAC T I C E Write the decimal in digits for each word form. 1. two tenths 2. seven hundredths 3. seventy-two hundredths 4. twenty-nine hundredths 5. six thousandths 6. sixty-one thousandths 7. six tenths 8. eight hundred thirty-two thousandths 9. four hundred four thousandths 10. two and three tenths 0.2 0.07 0.72 0.29 0.006 0.061 0.6 0.832 0.404 2.3 Read each number aloud. What is the value of the digit 5 in each number? E – © CSL Associates, Inc. All rights reserved. 11. 12. 13. 14. 15. 0.5 0.05 0.53 7.065 87.356 5 tenths; tenths place 5 hundredths; hundredths place 53 hundredths; tenths place 7 and 65 thousandths, thousandths place 87 and 356 thousandths; hundredths place What decimal does each model show? Write the decimal in digits and in words. 17. 16. . 1.2 or 1.20; one and twenty hundredths Math Reasoning . 0.98; ninety-eight hundredths Number Sense MR 1.1, 2.3 2.50 18. Draw a line between pairs of decimals that represent the same value. 0.205 0.52 520.0 0.250 0.25 Have students read each decimal aloud. 0.520 Chapter 12 – Lesson 1 page 135 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:02 Page 90 Name …at home! P RAC T I C E Write the decimal in digits for each word form. 1. three tenths 2. eight hundredths 3. ninety-one hundredths 4. thirteen hundredths 5. five thousandths 6. fifty-one thousandths 7. seven tenths 8. nine hundred nineteen thousandths 9. three hundred six thousandths 10. four and five tenths 0.3 0.08 0.91 0.13 0.005 0.051 0.7 0.919 0.306 4.5 Read each number aloud. What is the value of the digit 8 in each number? 0.58 fifty-eight hundredths; eight hundredths 0.058 fifty-eight thousandths; eight thousandths 8.53 eight and 53 hundredths; eight ones 7.085 seven and eighty-five thousandths; eight hundredths 87.356 eighty-seven and three hundred fifty-six thousandths; eight tens What decimal does each model show? Write the decimal in digits and in words. 17. 16. . . 1.30; one and thirty hundredths Math Reasoning 0.89; eighty-nine hundredths Number Sense MR 1.1, 2.3 2.50 18. Draw a line between pairs of decimals that represent the same value. 0.205 0.52 520.0 0.250 0.25 0.520 page 90 Home Resource and Homework Chapter 12 Lesson 1 E – © CSL Associates, Inc. All rights reserved. 11. 12. 13. 14. 15. MCX94TEG5CH01_32.v7.4.2 2/24/01 19:45 Page 249 Name P RAC T I C E Write the decimal in digits for each word form. 1. two tenths 2. seven hundredths 3. seventy-two hundredths 4. twenty-nine hundredths 5. six thousandths 6. sixty-one thousandths 7. six tenths 8. eight hundred thirty-two thousandths 9. four hundred four thousandths 10. two and three tenths 0.2 0.07 0.72 0.29 0.006 0.061 0.6 0.832 0.404 2.3 Read each number aloud. What is the value of the digit 5 in each number? E – © CSL Associates, Inc. All rights reserved. 11. 12. 13. 14. 15. 0.5 0.05 0.53 7.065 87.356 5 tenths; tenths place 5 hundredths; hundredths place 53 hundredths; tenths place 7 and 65 thousandths, thousandths place 87 and 356 thousandths; hundredths place What decimal does each model show? Write the decimal in digits and in words. 17. 16. . 1.2 or 1.20; one and twenty hundredths Math Reasoning . 0.98; ninety-eight hundredths Number Sense MR 1.1, 2.3 2.50 18. Draw a line between pairs of decimals that represent the same value. 0.205 0.52 520.0 0.250 0.25 Have students read each decimal aloud. 0.520 Chapter 12 – Lesson 1 Student Book Page page 135 Name …at home! P RAC T I C E Write the decimal in digits for each word form. 1. three tenths 2. eight hundredths 3. ninety-one hundredths 4. thirteen hundredths 5. five thousandths 6. fifty-one thousandths 7. seven tenths 8. nine hundred nineteen thousandths 9. three hundred six thousandths 10. four and five tenths 0.3 0.08 0.91 0.13 0.005 0.051 0.7 0.919 0.306 4.5 Read each number aloud. What is the value of the digit 8 in each number? 0.58 fifty-eight hundredths; eight hundredths 0.058 fifty-eight thousandths; eight thousandths 8.53 eight and 53 hundredths; eight ones 7.085 seven and eighty-five thousandths; eight hundredths 87.356 eighty-seven and three hundred fifty-six thousandths; eight tens What decimal does each model show? Write the decimal in digits and in words. 17. 16. . . 1.30; one and thirty hundredths Math Reasoning 0.89; eighty-nine hundredths Number Sense MR 1.1, 2.3 2.50 18. Draw a line between pairs of decimals that represent the same value. 0.205 0.52 520.0 0.250 0.25 0.520 page 90 Home Resource and Homework Chapter 12 Lesson 1 E – © CSL Associates, Inc. All rights reserved. 11. 12. 13. 14. 15.