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Dive into the world of decimals with this comprehensive guide covering decimal place values, reading, and writing numbers in standard form. Explore the significance of each place value, from tens and ones to tenths, hundredths, and thousandths. Learn the systematic approach to articulating numbers, including how to transition from words to numerical expression. With practical exercises, you can enhance your skills in interpreting and constructing decimal numbers. Perfect for students seeking to master decimal concepts!
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3 9 9 . 4 Reading & Writing Decimals
Decimal Place Values Lets take a look at the places and the values of decimals. Tens Ones Tenths Hundredths Thousandths 10 .1 .01 .001 1 . Decimal
Reading & Writing Decimals • Say or write the number before the decimal point. • Say or write “and” when you get to the decimal point. • Say or write the number after the decimal point. • Say or write the name of the place that the decimal ends in. (tenths, hundredths, thousandths)
Example 8,243.67 Eight thousand, two hundred forty-three “and” sixty-seven hundredths
Lets Practice: • 247.017 • 16.3 • 4,764.52 • 63,920.143 and seventeen thousandths two hundred forty-seven and three tenths sixteen and fifty-two hundredths Four thousand, seven hundred sixty-four and Sixty-three thousand, nine hundred twenty . one hundred forty-three hundredths
From Words to Standard Form • Read everything that comes before the word “and.” Write that number down. • Place a decimal point at the word “and.” • Read the last word of the sentence to see how many decimal places you need. • Fill in the decimal places as far to the right as possible with your number, then use zeroes to fill any empty spaces.
Example: Write the following number in standard form:two hundred six and five thousandths 5 206 . __ __ __ 0 0 The word “thousandths” indicates that we need three decimal places. When we clean it up, the answer is 206.005
Lets Practice: • Six hundred fifty-three and twenty-three hundredths • Fourteen and five tenths • Three thousand, nine hundred thirty-five and sixty-one thousandths . 23 653 . 5 14 . 061 3,935
Expanded Form • Write the number that appears before the decimal point in expanded form. • For numbers that are decimals only, place a zero in the ones place. • Also, substitute zeroes for all spaces after the decimal point that come before the digit that you are working with.
Example: Write 13.361 in expanded form. Remember, deal with the number before the decimal first. + 0.3 + 0.06 + 0.001 10 + 3 Then, do the decimal part.
Lets Practice: • 249.617 • 16.3 • 4,764.52 200 + 40 + 9 + 0.6 + 0.01 + 0.007 10 + 6 + 0.3 4,000 + 700 + 60 + 7 + 0.5 + 0.02 .
Lets Practice: 200 + 40 + 9 + 0.6 + 0.01 + 0.007 249.617 16.3 4,764.52 10 + 6 + 0.3 4,000 + 700 + 60 + 7 + 0.5 + 0.02
