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Module 1 Lesson 5 Common Core Standards 5.NBT.3 Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Learning Targets • I can name decimal fractions in expanded, unit, and word forms by applying place value reasoning Activate Knowledge Write 54 tenths as a decimal Activate Knowledge Multiply by 2 10 5 4 Activate Knowledge Write 6 tenths as a decimal Activate Knowledge Multiply by 2 10 6 Activate Knowledge Divide by 2 10 6 Activate Knowledge Write two and seven hundred eighty-four thousandths Activate Knowledge Multiply by 3 10 2 7 8 4 Activate Knowledge Write six thousand five hundred eighty-three Activate Knowledge Divide by 6 5 3 10 8 3 Activate Knowledge 3 m = _____cm Show 3 on your place value chart Activate Knowledge 3 m = _____cm Show how many centimeters in 3 meter on your chart (Use arrows) 3 Activate Knowledge 7 kg = ____ g 3 Activate Knowledge 7000 ml = ____ l, 3 Activate Knowledge 7500 m = ____ km ____ m Activate Knowledge 8350 g = ____ kg ____ g Activate Knowledge Jordan measures a desk at 200 cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is James measurement in millimeters? Activate Knowledge Jordan measures a desk at 200 cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is Amy’s measurement in meters? Learn Three thousand forty seven Write this number in standard form, expanded form, and unit form. Learn Write one thousandth using digits on your place value chart. Learn We write 1 thousandth as a fraction like this. 1 1000 Learn 1 thousandth is a single copy of a thousandth. I can write the expanded form using a fraction like this 1 1 1000 Learn 1 thousandth is a single copy of a thousandth. I can write the expanded form using a fraction like this 1 1 1000 or using a decimal like this 1 × 0.001. Learn 1 One thousandth = 0.001 1000 1 1 1 1000 1000 0.001 1 0.001 1 thousandth Learn Imagine 3 copies of 1 thousandth. How many thousandths is that? Learn Imagine 3 copies of 1 thousandth. How many thousandths is that? 3 Three thousandths = 0.003 1000 3 1 3 1000 1000 0.003 3 0.001 3 thousandths Teamwork Write thirteen thousandths in standard form, and expanded form using fractions and then using decimals. Turn and share with your partner. Learn Write thirteen thousandths in standard form, and expanded form using fractions and then using decimals. Turn and share with your partner. 1 1 0.013 1 3 1 0.01 3 0.001 100 1000 Learn Write thirteen thousandths in unit form Learn Write thirteen thousandths in unit form 1 hundredth 3 thousandths = 13 thousandths Learn 13 Thirteen thousandths = 0.013 1000 13 1 1 1 3 100 1000 1000 0.013 1 0.01 3 0.001 1 hundredth 3 thousandths 13 thousandths ✔ Check Understanding Write in expanded form with fractions and decimals Zero and two hundred seventy-two thousandths ✔ Check Understanding Write in unit forms Zero and two hundred seventy-two thousandths ✔ Check Understanding Write in expanded form with fractions and decimals One and six hundred eight thousandths ✔ Check Understanding Write in unit forms One and six hundred eight thousandths ✔ Check Understanding Write 25.413 in word form ✔ Check Understanding Write 25.413 in unit forms ✔ Check Understanding Write 25.413 as a mixed number and in expanded forms ✔ Check Understanding 413 Twenty-five and four hundred thirteen thousandths = 25.413 25 1000 413 1 1 1 25 2 10 5 1 4 1 3 1000 10 100 1000 25.413 2 10 5 1 4 0.1 1 0.01 3 0.001 2tens 5 ones 4 tenths 1 hundredth 3 thousandths 25 ones 413 thousandths ✔ Check Understanding Write 12.04 in word form ✔ Check Understanding Write 12.04 in unit forms ✔ Check Understanding Write 12.04 as a mixed number and in expanded forms ✔ Check Understanding 4 Twelve and four hundredths = 12.04 12 100 4 1 12 1 10 2 1 4 100 100 12.04 1 10 2 1 4 0.01 1 tens 2 ones 4 hundredths 12 ones 4 hundredths ✔ Check Understanding Write 9.495 in word form ✔ Check Understanding Write 9.495 in unit forms ✔ Check Understanding Write 9.495 as a mixed number and in expanded forms ✔ Check Understanding 495 Nine and four hundred ninety five thousandths = 9.495 9 1000 495 1 1 1 9 9 1 4 9 5 10 100 1000 1000 9.495 9 1 4 0.1 9 0.01 5 0.001 9 ones 4 tenths 9 hundredths 5 thousandths 9 ones 495 thousandths Practice Express as decimal numerals. four thousandths Practice Express as decimal numerals. twenty-four thousandths Practice Express as decimal numerals. one and three hundred twenty-four thousandths Practice Express as decimal numerals. six hundred eight thousandths Practice Express as decimal numerals. six hundred and eight thousandths Practice Express as decimal numerals. 46 1000 Practice Express as decimal numerals. 3 946 1000 Practice Express as decimal numerals. 200 904 1000 Practice Express in words. 0.005 Practice Express in words. 11.037 Practice Express in words. 403.608 Practice Write the number on a place value chart then write it in expanded form using fractions or decimals to express the decimal place value units. 35.827 tens ones tenths thousandth hundredths s Practice Write the number on a place value chart then write it in expanded form using fractions or decimals to express the decimal place value units. 0.249 tens ones tenths thousandth hundredths s Practice Write the number on a place value chart then write it in expanded form using fractions or decimals to express the decimal place value units. 57.281 tens ones tenths thousandth hundredths s Practice Write a decimal for each of the following. Use a place value chart to help if needed 7 10 4 1 6 1 10 tens ones 9 1 tenths 1 100 hundredths 1 1000 thousandth s Practice Write a decimal for each of the following. Use a place value chart to help if needed 5 100 3 10 8 0.1 9 0.001 thousands hundreds tens ones tenths hundredths thousandth s Practice Write a decimal for each of the following. Use a place value chart to help if needed 4 1000 2 100 7 1 3 1 100 thousands hundreds tens ones tenths 4 1 1000 hundredths thousandth s Practice Mr. Pham wrote 2.619 on the board. Christy says its two and six hundred nineteen thousandths. Amy says its 2 ones 6 tenths 1 hundredth 9 thousandths. Who is right? Use words and numbers to explain your answer. Exit Ticket Express nine thousandths as a decimal. Exit Ticket Express twenty-nine thousandths as a fraction. Exit Ticket Express 24.357 in words. Exit Ticket Express 24.357 in expanded form using fractions or decimals. Exit Ticket Express 24.357 in unit form. Review