Q2. - Algebra 1

Question

Replace each • with <, >, or = to make a true sentence.

$\frac{4}{5}·0.71$

Step-by-Step Solution

Answer

The true sentence is $\frac{4}{5}>0.71$.

Step 1. Convert the fraction into a decimal.

We can find that $\frac{4}{5}=0.8$.

Step 2. Convert both decimals into the same number of digits.

0.71 has two digits in it. So, we want to make 0.8 into a two digited decimal.

We know that we can put as many zeros on the right side of the decimal.

So, we can write 0.8 = 0.80.

Step 3. Compare.

Then we compare 0.80 and 0.71.

 

We know that 80 > 71. This implies 0.80 > 0.71. 

 

Or we can say: $\frac{4}{5}>0.71$