Question

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consider the expression. mentally estimate the sum or difference. circle to show your estimate.

1. $\frac{5}{8}+\frac{3}{4}$

less than 1 between 1 and 2 greater than 2

1. $\frac{2}{3}-\frac{2}{9}$

less than 1 between 1 and 2 greater than 2

Explanation:

Step1: Estimate \(\frac{5}{8}+\frac{3}{4}\)

Estimate \(\frac{5}{8}\approx\frac{1}{2}\) and \(\frac{3}{4}\approx1\). Then \(\frac{1}{2}+ 1=\frac{3}{2}=1.5\).

Step2: Estimate \(\frac{2}{3}-\frac{2}{9}\)

Estimate \(\frac{2}{3}\approx\frac{2}{3}\) and \(\frac{2}{9}\approx\frac{1}{4}\). Then \(\frac{2}{3}-\frac{1}{4}=\frac{8 - 3}{12}=\frac{5}{12}\approx0.42\).

Answer:

1. For \(\frac{5}{8}+\frac{3}{4}\), circle "between 1 and 2".
2. For \(\frac{2}{3}-\frac{2}{9}\), circle "less than 1".