Expressions/Formulas MIC 2006 G 6 by Encycbrita

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B. One student found an answer for Kris by using a reverse arrow string. What number should go above each of the reversed arrows? ⎯⎯ ←⎯⎯ ⎯⎯ ←⎯⎯ ⎯⎯ ←⎯⎯ ←⎯⎯ 29 ⎯⎯ When it was her turn, Kris wrote: ? ⎯⎯ ؉3 ⎯⎯→ ⎯⎯ ،6 ⎯⎯→ ⎯⎯ ؉5 ⎯⎯→ ⎯⎯ ؊2 ⎯⎯→ 6 11. a. What will Pat give as the input? Explain how you found this number. b. Write the reverse arrow string that can be used to find the input. 28 Expressions and Formulas Reverse Operations D Beech Trees The park near Jessica’s house is full of beech trees.

8. Use the mathematicians’ rule to find the value for each expression. a. 32 ؉ 5 ؋ 20 b. 18 ، 3 ؉ 2 ؋ 5 c. 47 ؊ 11 ؉ 6 ؋ 8 Calculators and computers nearly always follow the mathematicians’ rule. Some old or very simple calculators, however, do not use the rule. 9. a. Use the mathematicians’ rule to find 5 ؋ 5 ؉ 6 ؋ 6 and 6 ؋ 6 ؉ 5 ؋ 5. b. Does your calculator use the mathematicians’ rule? How did you decide? c. Reflect Why do you think calculators have built-in rules? To make sure that everyone agrees on the value of an expression, it is important to have a way to write expressions so that it is clear which calculation to do first, which next, and so on.

28 Expressions and Formulas Reverse Operations D Beech Trees The park near Jessica’s house is full of beech trees. Some botanists observed that a tree grows fairly evenly when it is between 20 and 80 years old. They developed two formulas that describe the growth of beech trees if the age is known. They are written as arrow strings. 4 age ⎯⎯→ ⎯⎯ ؉1 ⎯⎯→ height In these arrow strings, age is in years and height is in meters; thickness is in centimeters and is measured 1 meter (m) from the ground.

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