Isaac knows that ¼ is written as 0.25 in decimal form. How can he find a decimal for 7/5? Show your work

To find a decimal for 7/5, you can simply divide 7 by 5.

7 ÷ 5 = 1.4

Therefore, 7/5 is written as 1.4 in decimal form.

Predict the decimal for 5/9. Divide to check your prediction, and describe the results.

Prediction: 5/9 will be a repeating decimal where the digits repeat after the decimal point.

Let's divide 5 by 9 to find the decimal form:

5 ÷ 9 ≈ 0.555555555...

The result is indeed a repeating decimal where the digit "5" repeats infinitely after the decimal point. This confirms our prediction.

Jackson is practicing basketball. He makes a basket from the free-throw line 9 out of 27 shots. Write the decimal from the fraction of Jackson’s shot that resulted in the basket.

To find the decimal from the fraction of Jackson's shots that resulted in a basket, we take the number of successful shots (9) and divide it by the total number of shots attempted (27).

9 (successful shots) ÷ 27 (total shots) = 0.333

Therefore, the decimal form of the fraction 9/27 is 0.333.

What is the difference between terminating and repeating decimals? How does the end behavior of a decimal relate to rational number or irrational number?