Compare And Order Decimals

1. Which is the greatest 1.288 or 1.228?

1.288

1.228

The number 1.288 is greater than 1.228 because the digit 8 in 1.288 is greater than the digit 2 in 1.228. When comparing numbers, the digit in the leftmost place value is the most significant, and in this case, 8 is greater than 2. Therefore, 1.288 is the greater number.

Explanation

The number 1.288 is greater than 1.228 because the digit 8 in 1.288 is greater than the digit 2 in 1.228. When comparing numbers, the digit in the leftmost place value is the most significant, and in this case, 8 is greater than 2. Therefore, 1.288 is the greater number.

2. Does >, < or = make the following a true statement?

0.01 ___ 0.001

>

=

The number 0.01 has a one in the hundredths place which is greater than the 0 in the hundredths place in 0.001.

Explanation

The number 0.01 has a one in the hundredths place which is greater than the 0 in the hundredths place in 0.001.

3. Which decimal is greater 0.433 or 0.43?

0.433

0.43

The decimal 0.433 is greater than 0.43 because the digit in the hundredths place is larger in 0.433 (3) compared to 0.43 (0).

Explanation

The decimal 0.433 is greater than 0.43 because the digit in the hundredths place is larger in 0.433 (3) compared to 0.43 (0).

4. Find the decimal equivalent to ⁴/5. Tell if the decimal is terminating or repeating.

0.8, terminating

0.8, repeating

0.4, terminating

The decimal equivalent of 4/5 is 0.8. This decimal is terminating because it ends after a finite number of decimal places, in this case, just one decimal place.

Explanation

The decimal equivalent of 4/5 is 0.8. This decimal is terminating because it ends after a finite number of decimal places, in this case, just one decimal place.

5. Order each set of decimals from least to greatest.

0.05, 0.105, 0.005

0.105, 0.005, 0.05

0.05, 0.005, 0.105

0.005, 0.05, 0.105

The decimals in the given set are 0.05, 0.105, and 0.005. To order them from least to greatest, we start with the smallest decimal, which is 0.005. Next, we have 0.05, which is greater than 0.005 but smaller than 0.105. Finally, we have 0.105, which is the largest decimal in the set. Therefore, the correct order from least to greatest is 0.005, 0.05, 0.105.

Explanation

The decimals in the given set are 0.05, 0.105, and 0.005. To order them from least to greatest, we start with the smallest decimal, which is 0.005. Next, we have 0.05, which is greater than 0.005 but smaller than 0.105. Finally, we have 0.105, which is the largest decimal in the set. Therefore, the correct order from least to greatest is 0.005, 0.05, 0.105.

6. Use >, < and = to complete the number sentence.

0.09 _____ 0.0900

>

=

The decimal 0.09 is equal to 0.0900 since the zeros at the end of a decimal do not change its value. Therefore, the correct answer is = (equal to).

Explanation

The decimal 0.09 is equal to 0.0900 since the zeros at the end of a decimal do not change its value. Therefore, the correct answer is = (equal to).

7. Find the decimal equivalent for ⁵/11. Tell if the decimal is terminating or repeating.

0.45, terminating

0.45, repeating

0.4, repeating

The decimal does not divide evenly. It continues to repeat the number 45 again and again. This makes it a repeating decimal.

Explanation

The decimal does not divide evenly. It continues to repeat the number 45 again and again. This makes it a repeating decimal.

8. Which is the least 0.0333 or 0.003?

0.0333

0.003

The given question asks for the least value between 0.0333 and 0.003. Comparing the two values, we can see that 0.003 is smaller than 0.0333. Therefore, 0.003 is the least value among the two options provided.

Explanation

The given question asks for the least value between 0.0333 and 0.003. Comparing the two values, we can see that 0.003 is smaller than 0.0333. Therefore, 0.003 is the least value among the two options provided.

9. Order each set of decimals from least to greatest.
5.003, 5, 5.03

5, 5.003, 5.03

5.003, 5.03, 5

5.03, 5.003, 5

The given decimals are 5, 5.003, and 5.03. When ordering decimals from least to greatest, we start by comparing the whole numbers. In this case, all the decimals have the same whole number part, which is 5. Therefore, we move on to the decimal part. The decimal 5.003 is the smallest because it has the least number of decimal places. Next is 5.03, which has a larger decimal part. Finally, the decimal 5 has no decimal part, so it is the largest. Therefore, the correct order is 5, 5.003, 5.03.

Explanation

The given decimals are 5, 5.003, and 5.03. When ordering decimals from least to greatest, we start by comparing the whole numbers. In this case, all the decimals have the same whole number part, which is 5. Therefore, we move on to the decimal part. The decimal 5.003 is the smallest because it has the least number of decimal places. Next is 5.03, which has a larger decimal part. Finally, the decimal 5 has no decimal part, so it is the largest. Therefore, the correct order is 5, 5.003, 5.03.