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8. To calculate 159 - 73, a student writes the follow-
ing equations:
160 - 70 = 90 - 3 = 87 - 1 = 86
Although the student has a good idea for solving the problem, their equations are not correct. In words, describe the student's solution strategy and discuss why the strategy makes sense; then write a correct sequence of equations that correspond to
this solution strategy.
Write your equations in the following form:
159 - 73 = some expression
= some expression
=….
= 86


8 To Calculate 159 73 A Student Writes The Follow Ing Equations 160 70 90 3 87 1 86 Although The Student Has A Good Idea For Solving The Problem Their Equations class=

Sagot :

The question is an illustration of solving equations using estimates.

The student's strategy makes sense because he uses estimation to solve the given equation

The correct sequence of equation is as follows:

  • [tex]\mathbf{159 - 73}[/tex]
  • [tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]
  • [tex]\mathbf{159 - 73 =90- 4}[/tex]
  • [tex]\mathbf{159 - 73 =86}[/tex]

We have:

[tex]\mathbf{159 - 73}[/tex]

Add 0 to the equation

[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]

Express 0 as 1 - 1

[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]

Add another 0

[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]

Express 0 as 3 - 3

[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]

[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]

Rewrite as:

[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]

Solve

[tex]\mathbf{159 - 73 =90- 4}[/tex]

[tex]\mathbf{159 - 73 =86}[/tex]

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