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Thousands to Thousandths. Unit 2 Lesson 2. Reading Decimals. Say what you see before the decimal Say “ and ” for the decimal Say what you see after the decimal Say the place value of the final digit To write in words, you write what you say. and. five hundred eighty. 5 8 0 . 3 2 4.
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Thousands to Thousandths • Unit 2 Lesson 2
Reading Decimals • Say what you see before the decimal • Say “and” for the decimal • Say what you see after the decimal • Say the place value of the final digit • To write in words, you write what you say
and five hundred eighty 5 8 0.3 2 4 three hundred twenty-four thousandths
Partner A 1 . 46 One and forty-six hundredths
Partner B 67 . 401 sixty seven and four hundred one thousandths
A. three and forty seven tenths B. Three and forty seven thousandths 3 . 47 C. three and forty seven hundredths D. Three and forty seven hundreds
A. seventeen and eighty-two tenths B. seventeen and eighty-two hundredths 17 . 082 C. seventeen thousand eighty two D. seventeen and eighty-two thousandths
th h t o . t h How would you write this # in word form? th 1 . 7 2 0 A zero at the end of a decimal number does not change the number’s value ,
th h t o . t h One and seventy-two hundredths th 1 . 7 2 0 A zero at the end of a decimal number does not change the number’s value ,
th h t o . t h What place is the 4 in ? 26.548 th . ,
th h t o . t h What place is the 4 in ? 26.548 th hundredths 2 6 . 5 4 8 ,
What number is in the thousandths place? 8.097
What number is in the thousandths place? 8.097
Write down the number that is not equivalent to the other values 2.6 2.06 2.600 2.60 4.07 4.070 4.70 4.0700
Getting the Idea! When a number is written as the sum of the products of each digit and its place value, it is written in expanded form. Standard form: 36.82 Word form: thirty-six and eighty-two hundredths Expanded form: 30 + 6 + 0.8 + .02 You can use a place-value chart to write numbers in expanded form.
Question: What is 71.85 written in expanded form? Strategy: Use a place-value chart. Place each digit in the place-value chart. Step 1: Step 2: Write the value of the digit in the greatest place. 7 tens equals 70 Step 3: Place an addition sign to the right of the number. Then write the value of the digit in the next greatest place. 70 + 1 70 tens plus 1 ones equals 71
Step 4: Continue for the remaining numbers. 70 + 1 + 0.8 + 0.05 70 tens + 1 ones + 8 tenths + 5 hundredths = 71.85 Solution: The number 71.85 written in expanded form is: 70 + 1 + 0.8 + 0.05 or 70 + 1 + 8/10 + 5/100
Question: What is 680.901 written in expanded form? Step 1: Place each digit in the place-value chart. Step 2: Write the value of the digit in the greatest place. Write an addition sign, and then write the value of the digit in the next greatest place. 600 + 80 + 0.9 + 0.001
Question: What is the expanded form of 42.07? Thinking It Through: What is the value of each digit? There are ________ tens = ________. There are ________ ones = ________. There are ________ tenths = ________. There are ________ hundredths = ________. Solution: The expanded form of 42.07 is: _____________________