1. Choose the list that shows these numbers in order from smallest to largest.
0.32, 0.321, 0.3, 0.345
A. 0.321, 0.32, 0.3, 0.345
B. 0.3, 0.32, 0.321, 0.345
C. 0.32, 0.3, 0.345, 0.321
D. 345, 0.321, 0.32, 0.3
Answer: B
2. Choose the list that shows these numbers in order from smallest to largest.
0.47, 0.5, 0.354, 0.481
A. 0.354, 0.47, 0.481, 0.5
B. 0.5, 0.47, 0.354, 0.481
C. 0.354, 0.481, 0.47, 0.5
D. 0.5, 0.481, 0.47, 0.354
Answer: A
3. Choose the list that shows these numbers in order from smallest to largest.
0.29, 0.51, 0.07, 0.061
A. 0.07, 0.061, 0.51, 0.29
B. 0.061, 0.07, 0.29, 0.51
C. 0.29, 0.51, 0.061, 0.07
D. 0.51, 0.07, 0.061, 0.29
Answer: B
4. Choose the list that shows these numbers in order from largest to smallest.
0.63, 0.58, 0.059, 0.06
A. 0.63, 0.58, 0.06, 0.059
B. 0.58, 0.63, 0.06, 0.059
C. 0.06, 0.58, 0.059, 0.63
D. 0.059, 0.06, 0.58, 0.63
Answer: A
5. Choose the list that shows these numbers in order from largest to smallest.
0.74, 0.49, 0.91, 0.199
A. 0.74, 0.91, 0.49, 0.199
B. 0.91, 0.74, 0.49, 0.199
C. 0.199, 0.91, 0.74, 0.49
D. 0.49, 0.199, 0.74, 0.91
Answer: B
1 B yes .3 is smallest
2 A yes .354 .47
3 B
4 A
5 B
yes agree
Correct answers:
1. B. 0.3, 0.32, 0.321, 0.345
2. A. 0.354, 0.47, 0.481, 0.5
3. B. 0.061, 0.07, 0.29, 0.51
4. A. 0.059, 0.06, 0.58, 0.63
5. B. 0.199, 0.49, 0.74, 0.91
To determine the correct order of numbers from smallest to largest, you can follow these steps:
1. Look at the decimal places: Compare the first decimal place of each number. In case of a tie, move on to the second decimal place, then the third, and so on.
2. Start with the smallest first decimal place value: Among the given numbers, find the number with the smallest value in the first decimal place. This number will come first in the ordered list.
3. Continue comparing the rest: Move on to the second decimal place and compare the numbers that have not been placed in the ordered list yet. Determine the number with the smallest value in the second decimal place, and add it to the end of the ordered list.
4. Repeat the process: Keep comparing and adding numbers to the ordered list until all the numbers have been placed correctly.
Now, let's apply these steps to the given lists of numbers:
1. For the first question, comparing the first decimal place values, we have:
- 0.32, 0.321, 0.3, 0.345
The smallest value in the first decimal place is 0.3, so it comes first. Next, we compare the second decimal place values between 0.32 and 0.345. Since 0.32 has a smaller second decimal place value, it comes second. Finally, we compare the third decimal place values between 0.32 and 0.321. Since 0.321 has a smaller third decimal place value, it comes next, and 0.345 comes last. Therefore, the correct answer is B: 0.3, 0.32, 0.321, 0.345.
2. Applying the same steps to the second question:
- 0.47, 0.5, 0.354, 0.481
The smallest value in the first decimal place is 0.354, so it comes first. Next, we compare the second decimal place values. 0.47 has a smaller second decimal place value than 0.481, so it comes second. Finally, we compare the third decimal place values between 0.47 and 0.5. As 0.47 has a smaller third decimal place value, it comes next, and 0.5 comes last. Therefore, the correct answer is A: 0.354, 0.47, 0.481, 0.5.
3. For the third question:
- 0.29, 0.51, 0.07, 0.061
The smallest value in the first decimal place is 0.07, so it comes first. Next, we compare the second decimal place values. Since 0.061 has a smaller second decimal place value than 0.07, it comes next. Moving on to the third decimal place values, 0.29 has a smaller third decimal place value than 0.51, so it comes next. Finally, 0.51 comes last. Therefore, the correct answer is B: 0.061, 0.07, 0.29, 0.51.
4. Applying the same steps to the fourth question:
- 0.63, 0.58, 0.059, 0.06
The smallest value in the first decimal place is 0.059, so it comes first. Next, we compare the second decimal place values. Since 0.06 has a smaller second decimal place value than 0.059, it comes next. Moving on to the third decimal place values, 0.58 has a smaller third decimal place value than 0.63, so it comes next. Finally, 0.63 comes last. Therefore, the correct answer is A: 0.059, 0.06, 0.58, 0.63.
5. For the fifth question:
- 0.74, 0.49, 0.91, 0.199
The smallest value in the first decimal place is 0.49, so it comes first. Next, we compare the second decimal place values. 0.74 has a smaller second decimal place value than 0.91, so it comes next. Moving on to the third decimal place values, 0.199 has a smaller third decimal place value than 0.74, so it comes next. Finally, 0.91 comes last. Therefore, the correct answer is B: 0.49, 0.74, 0.199, 0.91.