Question

8. To calculate 159 - 73, a student writes the follow-

Answer 1

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:

• $\mathbf{159 - 73}$

• $\mathbf{159 - 73 =160 - 70- 1 - 3}$

• $\mathbf{159 - 73 =90- 4}$

• $\mathbf{159 - 73 =86}$

We have:

$\mathbf{159 - 73}$

Add 0 to the equation

$\mathbf{159 - 73 =159 + 0- 73}$

Express 0 as 1 - 1

$\mathbf{159 - 73 =159 + 1 - 1- 73}$

$\mathbf{159 - 73 =160 - 1- 73}$

Add another 0

$\mathbf{159 - 73 =160 - 1- 73 + 0}$

Express 0 as 3 - 3

$\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}$

$\mathbf{159 - 73 =160 - 1- 70 - 3}$

Rewrite as:

$\mathbf{159 - 73 =160 - 70- 1 - 3}$

Solve

$\mathbf{159 - 73 =90- 4}$

$\mathbf{159 - 73 =86}$

Read more about estimation and equations at:

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