each of the given pairs or triples of decimal nur bers on a carefully drawn number line to sho which of the pair or triple is greatest. You ma "zoom in" on portions of your number lines order to show locations more clearly. a. Compare 0.6 and 0. b. Compare 0.00 and 0.7. c. Compare 3.00, 3.0, and 3. d. Compare 3.7777 and 3.77.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Question
Some students have difficulty comparing
decimals with 0 or comparing decimals that
have zeros in some places (see [88] and [83]). Plot
each of the given pairs or triples of decimal num-
bers on a carefully drawn number line to show
which of the pair or triple is greatest. You may
"zoom in" on portions of your number lines in
order to show locations more clearly.
a. Compare 0.6 and 0.
b. Compare 0.00 and 0.7.
c. Compare 3.00, 3.0, and 3.
d. Compare 3.7777 and 3.77.
6. Mary is labeling tick marks on a number line. Start-
ing at a tick mark labeled 4.90, she labels the next
tick marks to the right with 4.91, 4.92, 4.93, . . . ,
4.99. Then she labels the next tick mark to the right
of 4.99 with 4.100. Mary then says that 4.100 is
greater than 4.99.
a. Discuss: What error is Mary making? Why
might Mary make this error?
b. Describe how you might help Mary understand
her error and how to correct it.
5.
Transcribed Image Text:Some students have difficulty comparing decimals with 0 or comparing decimals that have zeros in some places (see [88] and [83]). Plot each of the given pairs or triples of decimal num- bers on a carefully drawn number line to show which of the pair or triple is greatest. You may "zoom in" on portions of your number lines in order to show locations more clearly. a. Compare 0.6 and 0. b. Compare 0.00 and 0.7. c. Compare 3.00, 3.0, and 3. d. Compare 3.7777 and 3.77. 6. Mary is labeling tick marks on a number line. Start- ing at a tick mark labeled 4.90, she labels the next tick marks to the right with 4.91, 4.92, 4.93, . . . , 4.99. Then she labels the next tick mark to the right of 4.99 with 4.100. Mary then says that 4.100 is greater than 4.99. a. Discuss: What error is Mary making? Why might Mary make this error? b. Describe how you might help Mary understand her error and how to correct it. 5.
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