Engage NY Module 1

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Engage NY Module 1. Lesson 5 Objective: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. MULTIPLY AND DIVIDE BY EXPONENTS. Write 54 tenths as a decimal. Say the decimal. Multiply it by 10. Say the product. 5.4 x 10 = 540. - PowerPoint PPT Presentation

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Engage NY Module 1

Engage NY Module 1Lesson 5

Objective: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning.Write 54 tenths as a decimal.Say the decimal.Multiply it by 10.Say the product.5.4 x 10 = 540MULTIPLY AND DIVIDE BY EXPONENTS

Write 6 tenths as a decimal.Say the decimal.Multiply it by 10.Say the product.0.6 x 10 = 60MULTIPLY AND DIVIDE BY EXPONENTS

Write 6 tenths as a decimal.Say the decimal.Divide it by 10.Say the quotient.0.6 10 = 0.006MULTIPLY AND DIVIDE BY EXPONENTS

Write 2 and seven hundred eighty-four thousandths as a decimal.2.784Multiply it by 10.Say the product.2.784 x 10 = 2784Write six thousand five hundred eighty three.6583Divide it by 10.Say the quotient.6583 10 = 6.583

MULTIPLY AND DIVIDE BY EXPONENTS3 m = ____ cmShow 3 in your place value chart.How many centimeters are in 1 meter?Show how many centimeters are in 3 meters on your place value chart.3 m = 300 cmMULTIPLYING METRIC UNITS

33007 kg = ____ gShow 7 in your place value chart.How many grams are in 1 kilogram?Show how many grams are in 7 kilograms on your place value chart.7 kg = 7000 gMULTIPLYING METRIC UNITS

700077000 ml = ____ lShow 7000 in your place value chart.How many milliliters are in 1 liter?Show how many liters are in 7000 milliliters on your place value chart.7000 ml = 7 lMULTIPLYING METRIC UNITS

000777500 m = ____ km ____ mShow 7500 in your place value chart.How many meters are in 1 km?Show how many kilometers are in 7500 meters on your place value chart.7500 m = 7 km 500 mMULTIPLYING METRIC UNITS

5007775008350 g = ____ kg ____ gShow 8350 in your place value chart.How many grams are in 1 kilogram?Show how many kilograms are in 8350 grams on your place value chart.8350 g = 8 kg 350 gMULTIPLYING METRIC UNITS7Jordan measures a desk at 200 cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is James measurement in millimeters? What is Amys measurement in meters? Show your thinking using a place value mat or an equation with exponents. Include a statement of solution.James: 200 cm = ____ mm2000 mmAmy: 200 cm = ____ m2 mAPPLICATION PROBLEM7Three thousand forty seven

Write this number in standard form, expanded form, and unit form.

Standard form: 3,047Expanded form: 3,000 + 40 + 7Unit form: 3 thousand, 4 tens, 7 ones

Explain to your partner the purpose of writing this number in these different forms.CONCEPT DEVELOPMENT 7Write one thousandth using digits on your place value chart.How many ones, tenths, hundredths, thousandths?This is the standard form of the decimal for 1 thousandth.CONCEPT DEVELOPMENT Problem 1 7

0001CONCEPT DEVELOPMENT Problem 1 7CONCEPT DEVELOPMENT Problem 1 7CONCEPT DEVELOPMENT Problem 2 7CONCEPT DEVELOPMENT Problem 2 7CONCEPT DEVELOPMENT Problem 2 7Write 25.413 in word form.Twenty-five and four hundred thirteen thousandths

Now write this decimal in unit form.2 tens 5 ones 4 tenths 1 hundredth 3 thousandths

What are other unit forms of this number?25 ones 413 thousandths254 tenths 13 hundredths25,413 thousandths

Write it as a mixed number, then in expanded form.

CONCEPT DEVELOPMENT Problem 3 7Write 12.04 in word form.Twelve and four hundredths

Now write this decimal in unit form.1 ten 2 ones 4 hundredths

What are other unit forms of this number?12 ones 4 hundredths1, 204 hundredths

Write it as a mixed number, then in expanded form.

CONCEPT DEVELOPMENT Problem 3 7Write 9.495 in word form.Nine and four hundred ninety-five thousandths

Now write this decimal in unit form.9 ones 4 tenths 9 hundredths 5 thousandths

Write it as a mixed number, then in expanded form.

CONCEPT DEVELOPMENT Problem 3 7Write four hundred four thousandths in standard form. 0.404

Now write four hundred and four thousandths in standard form.400.004

Tell the digits you used to write four hundred four thousandths.How did you know where to write the decimal in each of the standard forms?Now write the expanded and unit forms for each of these numbers.

CONCEPT DEVELOPMENT Problem 4 7Write two hundred two thousandths in standard form. 0.202

Now write nine hundred nine tenths in standard form.900.9

How did you know where to write the decimal in each of the standard forms?Now write the expanded and unit forms for each of these numbers.

CONCEPT DEVELOPMENT Problem 4 7

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