Question

Ordering with a Different Number of Decimal Places

Order the decimals 0.3, 0.36, 0.351.:

0.3 _____ _______


Order the decimals 1.8, 1.37, 1.521, 1.81.

________ 1.521 1.8 ________

Answer 1

Let's order the two sets of decimals.

For the first set, the decimals are: 0.3, 0.36, 0.351.

To compare them, we can line them up with the same number of decimal places:

- 0.3 = 0.300
- 0.36 = 0.360
- 0.351 = 0.351

Now, we can see the ordering:

0.3 < 0.351 < 0.36

Thus, we fill in the blanks like this:
0.3 _____ 0.351 _____ 0.36


For the second set, the decimals are: 1.8, 1.37, 1.521, 1.81.

Again, let's line them up:

- 1.8 = 1.800
- 1.37 = 1.370
- 1.521 = 1.521
- 1.81 = 1.810

Now, we can order them:

1.37 < 1.521 < 1.8 < 1.81

Thus, we fill in the blanks like this:
1.37 ______ 1.521 1.8 ______ 1.81

The final ordered lists are:

- For the first set: 0.3 < 0.351 < 0.36
- For the second set: 1.37 < 1.521 < 1.8 < 1.81