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4.5 Negative Exponents and Reciprocals

4.5 Negative Exponents and Reciprocals. Construct Understanding

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Page 1: 4.5 Negative Exponents and Reciprocals. Construct Understanding

4.5 Negative Exponents and Reciprocals

Page 2: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Construct Understanding

Page 3: 4.5 Negative Exponents and Reciprocals. Construct Understanding

What is a RECIPROCAL?

Two numbers with a product of 1 are reciprocals.

4 = ∙ 1 ∙ = 1

Page 4: 4.5 Negative Exponents and Reciprocals. Construct Understanding

• ==

Without a calculator, Calculate

Reciprocals!!

Page 5: 4.5 Negative Exponents and Reciprocals. Construct Understanding

• = 1

Without a calculator, Calculate

Reciprocals!!= =

Page 6: 4.5 Negative Exponents and Reciprocals. Construct Understanding

= =

= =

Page 7: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Evaluate each power without using a calculator (a and b only)

= =

Page 8: 4.5 Negative Exponents and Reciprocals. Construct Understanding

POWERPOINT PRACTICE PROBLEMEvaluate each power without using a

calculator (a and b only)

Page 9: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Evaluate each power without using a calculator

= =

= =

= =

Page 10: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Evaluate each power without using a calculator

Page 11: 4.5 Negative Exponents and Reciprocals. Construct Understanding

POWERPOINT PRACTICE PROBLEMEvaluate each power without using a

calculator

Page 12: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Paleontologists use measurements from fossilized

dinosaur tracks and the formula v = 0.155to estimate the speed at which the dinosaur travelled. In the formula, v is the speed in metres per second, s is the distance between successive footprints of the same foot, and f is the foot length in metres.

Use the measurements in the diagram to estimate the speed of the dinosaur.

Page 13: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Paleontologists use measurements from fossilized

dinosaur tracks and the formula v = 0.155to estimate the speed at which the dinosaur travelled. In the formula, v is the speed in metres per second, s is the distance between successive footprints of the same foot, and f is the foot length in metres.

Use the measurements in the diagram to estimate the speed of the dinosaur.

The dinosaur travelled at approximately 0.8 m/s.

Page 14: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Use the formula v = 0.155to estimate the speed at which the dinosaur travelled when s =

1.5 and f = 0.3.

The dinosaur travelled at approximately 1.2 m/s.

Page 15: 4.5 Negative Exponents and Reciprocals. Construct Understanding

Section 4.5 HOMEWORK

OPAGES: 233 – 234OPROBLEMS: 3 – 19

Page 16: 4.5 Negative Exponents and Reciprocals. Construct Understanding

QUIZOSections 4.4 – 4.5

OMonday, July 28