Multiplying and Dividing Rational Numbers

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Algebra

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If we were to visit a place called, MATH LAND, what would the word "of" mean? In other words, if we say "...of a number...", we do what with the number? *

1 Punkt

multiply

divide

reciprocate

set it to zero

stare at it awkwardly

What is ⅔ of ½? *

(Hint: you may want to draw half a pizza, then split that into 3 equal parts, then shade 2 of them. Or, you can convert the question to a numerical multiplication problem.)

1 Punkt

1/6

1/4

1/8

1/3

2/9 • 1/4 *

(Hint: cross cancel?)

1 Punkt

2/13

3/18

3/13

1/18

1/36

What is 2⅓ of 3½? *

1 Punkt

11/6

8 ⅚

9 ⅙

49/6

6 ¾

What is the reciprocal of ⅑ ? *

1 Punkt

-9

⅓

What is the reciprocal of 4⅖ ? *

(Hint: improper fractions.)

1 Punkt

5/16

5/22

8/5

5/4

(50 ÷ 2) is mathematically the same as (50 • ½) *

1 Punkt

true

false

To divide by a number is the same as ____________ by its ____________. *

(Hint: this problem draws upon the conclusions made in the previous problem.)

1 Punkt

multiplying ; reciprocal

decreasing ; absolute value

dividing ; negative

12 ÷ ½ *

(Hint: 12 ÷ ½ means "how many times does ½ go into 12?")

1 Punkt

-12

Please consider the multiplication of (0.5 • 0.5). Since each 0.5 has one decimal movement, or tenths, the answer will have a total of ___ decimal place movements, or __________. *

1 Punkt

2 ; hundredths

3 ; thousandths

4 ; ten-thousandths

0.5 • 0.5 *

(Hint: if we wanted to translate this math question into an English question, the question would ask, "What is half of a half?")

1 Punkt

0.25

2.5

0.05

0.025

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