Decimals as Equivalent Divisions Unit 2 Lesson 1

Fractions and Decimals Fractions and decimals are special numbers. They tell the number of equal parts a while is divided into. Fraction notation uses a numerator and denominator. Decimal notation uses a decimal point.

Tenths, Hundredths, and Thousandths

Tenths, Hundredths, and Thousandths

Let’s Look at Some Place Value One Hundred Dollars Ten Dollars One Dollar Ten Cents Cents 1 3 7 8 2 Hundreds Tens Ones Tenths Hundredths 1 3 7 8 2

For one tenth, we write a one in the tenths place I say You Say I say, “One dime equals” You say, “One tenth of a dollar” 1 dime = For one tenth, we write a one in the tenths place = 0.1

For two tenths, we write a two in the tenths place I say You Say I say, “Two dime equal” You say, “Two tenths of a dollar” 2 dime = For two tenths, we write a two in the tenths place = 0.2 Now continue the pattern with 3 dimes, 4 dimes, 5 dimes, etc until you reach 10 dimes.

2 1 6 16 100 How many zeros are in the denominator? Look at the zeros 16 100 How many zeros are in the denominator? Write your decimal point with 2 lines behind it. . _____ ______ Then fill the blanks so that the last number of the numerator is on the last line. 16 100 = .16 2 1 6

Fill blank lines with zeros Look at the zeros 9 100 How many zeros are in the denominator? Write your decimal point with 2 lines behind it. . _____ ______ Then fill the blanks so that the last number of the numerator is on the last line. 9 100 = .09 2 9 Fill blank lines with zeros

3 3 4 9 349 1000 How many zeros are in the denominator? Look at the zeros 349 1000 How many zeros are in the denominator? Write your decimal point with 3 lines behind it. . _____ ______ _____ Then fill the blanks so that the last number of the numerator is on the last line. 349 1000 = .349 3 3 4 9

Fill blank lines with zeros Look at the zeros 27 1000 How many zeros are in the denominator? Write your decimal point with 3 lines behind it. . _____ ______ _____ Then fill the blanks so that the last number of the numerator is on the last line. 27 1000 = .027 3 2 7 Fill blank lines with zeros

Miss V has made 10 party invitations Miss V has made 10 party invitations. She ran out of stamps and was only able to mail 4 of them. What decimal number represents the number of invitations that have been mailed? First, answer the question in fraction form. What fraction of the invitations has she mailed? Now, use our zero trick to change that fraction to a decimal number! The fraction that would represent this problem would be 4/10 There is 1 zero in the denominator, so write a decimal with one line behind it. Put the numerator on the line. The answer is 0.4