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Using Base 10 Blocks to Model Decimal Concepts & Operations Joyce Bishop ROE 10 mathgarden.weebly,com Using Familiar Base 10 Blocks to Model Decimal Numbers • flat = 1 • Long = 0.1 • small cube = 0.01 • small flat (chip) = 0.001 Order chips from enasco.com: search for thousandth chip. $13.95/1000 Representing Decimal Numbers Base 10 blocks Decimal Fraction 3 1000 0.407 Representing Decimal Numbers Base 10 blocks Decimal 1.17 Fraction 1 17 100 Representing Decimal Numbers Base 10 blocks Decimal 1.17 0.003 Fraction 1 17 100 3 1000 Representing Decimal Numbers Base 10 blocks Decimal Fraction 1.17 1 17 100 0.003 3 1000 0.407 407 1000 Comparing Decimals Represent the following with base 10 blocks and put them in order from smallest to largest: 0.2 0.197 0.21 Representing Decimal Numbers 0.2 0.197 0.21 Smallest to Largest 0.197 0.2 0.21 Adding Decimals Show the following with base 10 blocks. 0.21 + 1.483 0.36 + 0.47 Adding Decimals (1) 0.21 0.21 + 1.483= 1.693 1.483 Adding Decimals (2) 0.36 0.36 + 0.47 0.47 Adding Decimals (2) 0.36 0.36 + 0.47 0.47 0.36 + 0.47 = 0.83 Subtracting Decimals Subtract the following: 0.87 – 0.26 0.48 – 0.222 Subtracting Decimals (1) 0.87 Subtracting Decimals 0.87 – 0.26 = 0.61 Subtracting Decimals (2) Subtract the following: 0.48 – 0.222 Subtracting Decimals (2) 0.48 – 0.222 Subtracting Decimals (2) 0.48 – 0.222 0.48 – 0.222 = 0.258 Multiplying Decimals 1.6 x 2 2 groups of 1.6 Multiplying Decimals 1.6 x 2 Trade to make another unit. 1.6 x 2 = 3.2 Multiplying Decimals (2) 0.1 x 0.78 Multiplying Decimals (2) 0.1 x 0.78 ? 0.1 of 0.1 ? 0.1 of 0.01 Multiplying Decimals (2) 0.1 x 0.78 ? 0.1 of 0.1 0.1 of 0.01 (7 x 0.1 x 0.1) + (8 x 0.1 x 0.01) = 0.07 + 0.008 = 0.078 Dividing Decimals (1) Ellen had 0.6 m of yarn. She wanted to divide it into 2 equal pieces. How long should each piece be? Show your answer with base 10 blocks. 0.6 ÷ 2 Dividing Decimals (1) Ellen had 0.6 m of yarn. She wanted to divide it into 2 equal pieces. How long should each piece be? Show your answer with base 10 blocks. 0.6 ÷ 2 0.6 divided into 2 equal groups. How many in each group? 0.6 ÷ 2 = 0.3 Dividing Decimals (2) Ryan has 1 kg of fudge. He plans to wrap it in packages with 0.2 kg in each package. How many packages will he have? 1 kg = 10 x 0.1 kg Dividing Decimals (2) Ryan has 1 kg of fudge. He plans to wrap it in packages with 0.2 kg in each package. How many packages will he have? 1 kg = 10 x 0.1 kg 10 (0.1) divided into groups of 0.2 How many groups? 1 ÷ 0.2 = 5