Compare the decimals below. Select the correct symbol from each drop-down menu.

0.75 0.7
0.8 0.80
0.9 0.85

9 answers

To compare the decimals, we can see which number is larger by looking at each digit, starting from the leftmost side. Here's the comparison for each pair:

  1. 0.75 vs 0.7:

    • 0.75 has two decimal places and 0.7 can be represented as 0.70.
    • Comparing the digits: 7 (from 0.75) is equal to 7 (from 0.70), but 5 is greater than 0. Therefore, 0.75 > 0.7.
  2. 0.8 vs 0.80:

    • 0.80 has two decimal places, but since the trailing zero does not change the value, both numbers are equivalent: 0.8 = 0.80.
    • Therefore, 0.8 = 0.80.
  3. 0.9 vs 0.85:

    • Comparing the digits: 9 (from 0.9) is greater than 8 (from 0.85).
    • Therefore, 0.9 > 0.85.

So, the correct symbols are:

  1. >
  2. =
  3. >

Overall, the comparisons can be summarized as follows:

  • \( 0.75 > 0.7 \)
  • \( 0.8 = 0.80 \)
  • \( 0.9 > 0.85 \)
Which of these numbers is the greatest?(1 point) Responses 0.28 0.28 0.27 0.27 0.21 0.21 0.29

To determine the greatest number from the list \(0.28, 0.28, 0.27, 0.27, 0.21, 0.21, 0.29\), we can compare each value:

  • 0.21 is less than 0.27.
  • 0.27 is less than 0.28.
  • 0.28 is less than 0.29.

The highest value here is 0.29.

So, the greatest number is 0.29.

Which list shows the decimals in order from least to greatest?(1 point) Responses 0.39, 0.49, 0.35 0.39, 0.49, 0.35 0.42, 0.47, 0.46 0.42, 0.47, 0.46 0.31, 0.68, 0.16 0.31, 0.68, 0.16 0.19, 0.23, 0.28

To determine which list shows the decimals in order from least to greatest, we can compare the numbers in each option. Here are the decimals organized:

  1. 0.39, 0.49, 0.35:

    • When ordered: 0.35, 0.39, 0.49. (Not in order)
  2. 0.42, 0.47, 0.46:

    • When ordered: 0.42, 0.46, 0.47. (Not in order)
  3. 0.31, 0.68, 0.16:

    • When ordered: 0.16, 0.31, 0.68. (Not in order)
  4. 0.19, 0.23, 0.28:

    • When ordered: 0.19, 0.23, 0.28. (In order)

Therefore, the correct list that shows the decimals in order from least to greatest is 0.19, 0.23, 0.28.

Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?(1 point) Responses Charlotte, Sami, Celeste Charlotte, Sami, Celeste Charlotte, Celeste, Sami Charlotte, Celeste, Sami Sami, Celeste, Charlotte Sami, Celeste, Charlotte Celeste, Sami, Charlotte

To determine the order of savings from least to greatest, we can list the amounts saved by each friend:

  • Sami: $41.79
  • Charlotte: $38.91
  • Celeste: $41.68

Now, let's compare the amounts:

  1. Charlotte: $38.91 (least)
  2. Celeste: $41.68
  3. Sami: $41.79 (greatest)

Now we can arrange them in order from least to greatest:

Charlotte, Celeste, Sami

So, the correct list that shows the names in order from least amount saved to greatest is Charlotte, Celeste, Sami.

Four cars raced in a local pinewood derby. Their times were 31.18 seconds, 27.9 seconds, 32.41 seconds, and 29.7 seconds. Which times won first place and last place?(1 point) Responses First place: 32.41 seconds; last place: 27.9 seconds First place: 32.41 seconds; last place: 27.9 seconds First place: 27.9 seconds; last place: 32.41 seconds First place: 27.9 seconds; last place: 32.41 seconds First place: 29.7 seconds; last place: 32.41 seconds First place: 29.7 seconds; last place: 32.41 seconds First place: 31.18 seconds; last place: 29.7 seconds First place: 31.18 seconds; last place: 29.7 seconds

To determine the first place and last place times from the four cars' racing times, we need to identify the fastest and slowest times.

The given times are:

  • 31.18 seconds
  • 27.9 seconds
  • 32.41 seconds
  • 29.7 seconds

Ordering the times from fastest (first place) to slowest (last place):

  • 27.9 seconds (fastest)
  • 29.7 seconds
  • 31.18 seconds
  • 32.41 seconds (slowest)

Thus:

  • First place (fastest time): 27.9 seconds
  • Last place (slowest time): 32.41 seconds

Therefore, the correct answer is: First place: 27.9 seconds; last place: 32.41 seconds.