Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 2 Lesson 2.7 Comparing Decimals regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 2 Lesson 2.7 Comparing Decimals Answers Key
Which is larger: 4.218 or 4.222?
4.218 4.222
The ones are the same.
The tenths are the same.
The hundredths are different.
4.218 < 4.222
4.218 is less than 4.222.
Compare each pair of decimals using <, >, or =.
Question 1.
a. 5.213 ____ 5.312
Answer:
5.213 < 5.312
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
So, the number in tenth place are different.
Hence, 5.213 < 5.312 or 5.213 is less than 5.312.
b. 3.1 ____ 3.10
Answer:
3.1 = 3.10
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
The numbers in tenth place are same.
Then move to the next place i.e., hundredth place.
We observe that zero in hundredth place does not have value.
So, 3.1 = 3.10 or 3.1 is equal to 3.10
c. 28.35 ____ 28.251
Answer:
28.35 > 28.251
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
The numbers in tenth place are different.
So, 28.35 > 28.251 or 28.35 is greater than 28.251.
Question 2.
a. 6.32 ____ 6.032
Answer:
6.32 > 6.032
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
The numbers in tenth place are different.
So, 6.32 > 6.032 or 6.32 is greater than 6.032
b. 5.17 ____ 5.172
Answer:
5.17 < 5.172
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
The numbers in tenth and hundredth places are same.
The numbers in thousandth place are different.
So, 5.17 < 5.172 or 5.17 is less than 5.172
c. 144.3 ____ 144
Answer:
144.3 > 144
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal i.e., tenth place.
The numbers in tenth places are same.
So, 144.3 > 144 or 144.3 is greater than 144.
Question 3.
a. 7.325 ____ 6.425
Answer:
7.325 > 6.425
Explanation:
Compare the whole number part first.
The numbers are different, then compare the numbers as you would for any whole number.
So, 7.325 > 6.425 or 7.325 is greater than 6.425.
b. 3.14 ____ 2.99
Answer:
3.14 > 2.99
Explanation:
Compare the whole number part first.
The numbers are different, then compare the numbers as you would for any whole number.
So, 3.14 > 2.99 or 3.14 is greater than 2.99.
c. 48.28 ___ 48.280
Answer:
48.28 = 48.280
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth and hundredth places are same.
So, 48.28 = 48.280
Question 4.
a. 0.213 ____ 0.223
Answer:
0.213 < 0.223
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 0.213 < 0.223 or 0.213 is less than 0.223.
b. 1.006 ____ 1.060
Answer:
1.006 < 1.060
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 1.006 < 1.060 or 1.006 is less than 1.060.
c. 0.010 ____ 0.001
Answer:
0.010 > 0.001
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 0.010 > 0.001 or 0.010 is greater than 0.001.
Question 5.
a. 0.674 ____ 0.644
Answer:
0.674 > 0.644
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 0.674 > 0.644 or 0.674 is greater than 0.644.
b. 3.122 ____ 3.220
Answer:
3.122 < 3.220
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are different.
So, 3.122 < 3.220 or 3.122 is greater than 3.220.
c. 43.01 ___ 43.100
Answer:
43.01 < 43.100
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are different.
So, 43.01 < 43.100 or 43.01 is less than 43.100.
Question 6.
a. 2.897 ____ 2.90
Answer:
2.897 < 2.90
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are different.
So, 2.897 < 2.90 or 2.897 is less than 2.90.
b. 0.43 ____ 0.430
Answer:
0.43 = 0.430
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth and hundredth places are same.
There is no value for zero at the last of the decimal numbers.
So, 0.43 = 0.430
c. 0.790 ____ 0.789
Answer:
0.790 > 0.789
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 0.790 > 0.789 or 0.790 is greater than 0.789.
Question 7.
a. 0.571 ____ 0.58
Answer:
0.571 < 0.58
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 0.571 < 0.58 or 0.571 is greater than 0.58.
b. 10.462 ____ 100.46
Answer:
10.462 < 100.46
Explanation:
Compare the whole number part first.
The numbers in hundreds place are different.
so, 10.462 < 100.46 or 10.462 is less than 100.46.
c. 9.36 ____ 9.306
Answer:
9.36 > 9.306
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 9.36 > 9.306 or 9.36 is greater than 9.306.
Question 8.
a. 17.110 ____ 17.101
Answer:
17.110 > 17.101
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 17.110 > 17.101 or 17.110 is greater than 17.101.
b. 0.182 ____ 1.820
Answer:
0.182 < 1.820
Explanation:
Compare the whole number part first.
The numbers in ones place are different.
So, 0.182 < 1.820 or 0.182 is less than 1.820.
c. 98.999 ____ 99.001
Answer:
98.999 < 99.001
Explanation:
Compare the whole number part first.
The numbers in tens place are same, then go to the next number.
The numbers in ones place are different.
So, 98.999 < 99.001 or 98.999 is less than 99.001.
Question 9.
a. 1.090 ____ 1.009
Answer:
1.090 > 1.009
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 1.090 > 1.009 or 1.090 is greater than 1.009.
b. 25.224 ____ 25.242
Answer:
25.224 < 25.242
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 25.224 < 25.242 or 25.224 is greater than 25.242.
c. 63.12 ____ 63.2
Answer:
63.12 < 63.2
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are different.
So, 63.12 < 63.2 or 63.12 is less than 63.2.
Question 10.
a. 5.703 ____ 5.730
Answer:
5.703 < 5.730
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth place are same.
The numbers in hundredth place are different.
So, 5.703 < 5.730 or 5.703 is greater than 5.730.
b. 0.479 ___ 4.79
Answer:
0.479 < 4.79
Explanation:
Compare the whole number part first.
The numbers in ones place are different.
So, 0.479 < 4.79 or 0.479 is less than 4.79.
c. 81.40 ____ 81.400
Answer:
81.40 = 81.400
Explanation:
Compare the whole number part first.
If the numbers are same, then go to the next number after the decimal.
The numbers in tenth and hundredth places are same.
There is no value for zero at the last in the decimal numbers.
So, 81.40 = 81.400 or 81.40 is equal to 81.400.