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Decimals and Decimal Computations. 10 x 10 Model. Square is seen as a whole. How many squares make up the whole? How many squares are in a half? How many squares are in a quarter?. Fraction -Decimal Connection. Cover up 35/100 of the square
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10 x 10 Model • Square is seen as a whole. • How many squares make up the whole? • How many squares are in a half? • How many squares are in a quarter?
Fraction -Decimal Connection • Cover up 35/100 of the square • What is another way to record this part of the whole? • What is another way to write 1.68?
Familiar Fractions • 1/4 = what as a decimal? • 1/5 = What as a decimal? • 1/20 = what as a decimal? • 1/8 = what as a decimal? • What strategy do we use to solve?
Not so Familiar? • 1/3 = what as a decimal? • 1/6 = what as a decimal? • What strategy do we use now?
Estimation = Benchmarking • Which Fraction would be the approximate of .52 • 1/50 • 1/5 • 1/4 • 1/2
Fraction - Decimal Match • 2.804, 2.41, 2.6271, 2.211 • 11/5, 2 7/8, 2 5/8, 2 1/3
Comparing Decimals/Fractions • Estimate using a number line with benchmarks 0 , 1/2 , and 1 • 3/8, 2.567, 5/3, 1 4/5, 1.8765
Computations With Decimals • What comes to mind when you see these computations? • 4.907 + 123.01 + 56.1234 • 459.8 + 12.345 • 24.67 + 1.84 • 514.67 / 3.59
Estimation First • 73.46 + 6.2 + 0.582 • Estimate first • What is the answer? • How can you add and subtract decimal numbers that will work every time?
Multiplication • What is 24 x 63 • So what is • .24 x 6.3 • 24 x .63 • 2.4 x 63
Division • 146 / 7 = 20857 (without the decimal point) • So what is the answer: • 146 / 0.7 • 1.46 / 7 • 14.6 / 0.7