Into Math Grade 5 Module 13 Lesson 4 Answer Key Compare and Order Decimals

We included HMH Into Math Grade 5 Answer Key PDF Module 13 Lesson 4 Compare and Order Decimals to make students experts in learning maths.

HMH Into Math Grade 5 Module 13 Lesson 4 Answer Key Compare and Order Decimals

I Can use place value to compare and order decimals to thousandths.

Step It Out

Question 1.
The field goal percentage (FG%) in basketball is found by dividing the number of baskets made (FG) by the number of baskets attempted (FGA).

Hector compares the field goal percentages for Thomas and Lucas.
A. Compare each place value, working from left to right, until you find a digit that is different. In which place value are the digits different?
0.478 > 0.473
Thomas’s filed goal percentage is more than Lucas’s field goal percentage

Explanation:
I compared the FG% of Hector and Lucas
FG% of Thomas is 0.478
The FG% of Lucas is 0.473
Start comparing
In tenths and hundredths place the digits are same
In thousandths place value the digits are different
8 > 3
0.478 > 0.473
So, Thomas’s filed goal percentage is more than Lucas’s field goal percentage

Connect to Vocabulary
The less than (<) symbol is the symbol used to compare two numbers or two quantities, with the lesser number or lesser quantity given first. The greater than (>) symbol is the symbol used to compare two numbers or two quantities when the greater number or greater quantity is given first.

B. Compare the digits in the place value that you found in Part A. Use the less than symbol.
0.473 < 0.478

C. Compare the digits using the greater than symbol.
0.478 > 0.473

D. Compare the field goal percentages for Thomas and Lucas in two different ways. Use the less than symbol, and then use the greater than symbol.
0.473 < 0.478
0.478 > 0.473

E. Which player has the higher field goal percentage?
Thomas has higher field goal percentage.

Turn and Talk Why is it important for the decimal points in the table to be lined up?
It is important for the decimal points in the table to be lined up to compare the decimals easily.

Question 2.
The table shows the field goal percentages of three players.

A. What is the greatest place-value position in which you find a digit that is different?
I find the different digit in hundredths place value and thousandths place value
So, the greatest place value position is hundredths place.

B. Use your answer from Part A. Which player has the greatest digit in this place-value position?
Field goal percentage of Robinson is 0.452
Robinson has the greatest digit in the hundredths place value position

C. Move to the next lesser place-value position and compare the digits of the other two players. Which player has the greater digit in this place-value position?
The next lesser place value position is thousandths place
Field goal percentage of Ortega is 0.447
Field goal percentage of Alabi is 0.449
Alabi has the greater digit in the thousandths place value position.

D. Order the players, by name, by their field goal percentages from greatest to least.
Robinson – 0.452 > Alabi – 0.449 > Ortega – 0.447

Explanation:
I put the filed goal percentages of the players from greatest to least along with their names
Robinson has the greatest percentage than Alabi and Alabi has greater percentage than Ortega.

Turn and Talk What would happen if you compare decimals working from right to left instead of left to right?
If i compare decimals working from right to left instead of left to right we would get the percentages in the order of least to highest.

Check Understanding

Question 1.
Order from greatest to least.
475.314; 475.321; 475.412; 475.296
475.412, 475.321, 475.314, 475.296

Explanation:
I arranged the numbers from greatest to least.

Compare. Write <, >, or =.

Question 2.
76.924 76.931
76.924 76.931

Explanation:
The decimal number 76.924 less than 76.931.

Question 3.
5,486.329 5,486.326
5,486.329 5,486.326

Explanation:
The decimal number 5,486.329 is greater than 5,486.326.

Question 4.
Attend to Precision The table shows the free throw percentages of four players. Order the players, by name, by their free throw percentages from least to greatest.

Explanation:
I ordered the players, by name, by their free throw percentages from least to greatest
Sampson has least percentage and Lee has greatest percentage.

Question 5.
Reason What are the possible digits that make the statement true?
98.346 > 98.46
0, 1 and 2

Explanation:
The possible digits that make the statement true are 0, 1 and 2
The statements will be
With 0 : 98.346 > 98.046
With 1 : 98.346 > 98.146
With 2 : 98.346 > 98.246.
So, the possible digits that make the statement true are 0, 1 and 2.

Question 6.
The decimal 237.057 is greater than another decimal by one hundredth. What is the other decimal?
237.047

Explanation:
The given decimal is 237.057
It has 5 in the hundredths place
The decimal 237.057 is greater than another decimal by one hundredth
So, subtract the number 5 by 1
1 less than 5 is 4
So, the other decimal is 237.047

Compare. Write <, >, or =.

Question 7.
8.391  8.371
8.391 8.371

Explanation:
The decimal number 8.391 is greater than 8.371.

Question 8.
29.808  29.088
29.808 29.088

Explanation:
The decimal number 29.808 is greater than 29.088.

Question 9.
6.091  6.91

6.091 6.91

Explanation:
The decimal number 6.091 is less than 6.91.

Question 10.
3.90  3.9
3.90 3.9

Explanation:
The decimal number 3.90 is equal to 3.9.

Question 11.
1.532  2.42
1.532 2.42

Explanation:
The decimal number 1.532 is less than 2.42.

Question 12.
23.742  13.742
23.742 13.742

Explanation:
The decimal number 23.742 is greater than 13.742.

Question 13.
Reason Given two numbers, if all digits to the right of the decimal point are the same, is it true that the two numbers are equal? Explain.
No, if all the digits to the right of the decimal point are same it is not true that the numbers are equal

Explanation:
If the given two numbers have all the digit to the right and left of the decimal point same then the numbers are equal.

Question 14.
In baseball, the batting average is found by dividing the number of base hits by the number of times at bat. The table shows the batting averages for four baseball players. Order the players, by name, from greatest batting average to least batting average.

Explanation:
In baseball, the batting average is found by dividing the number of base hits by the number of times at bat
The table shows the batting averages for four baseball players
I ordered the players, by name, from greatest batting average to the least batting average
Robledo has the greatest batting average and Brotherton has least batting average.

Compare. Write <, >, or =.

Question 15.
8,156.327  8,156.372
8156.327 8156.372

Explanation:
The decimal number 8156.327 is less than 8156.372.

Question 16.
29.48  29.480
29.48 29.480

Explanation:
The decimal number 29.48 is equal to 29.480.

Question 17.
971.283  971.328
971.283 971.328

Explanation:
The decimal number 971.283 is less than 971.328.

Question 18.
233.518  233.158
233.518 233.158

Explanation:
The decimal number 233.518 is greater than 233.158.

Order from least to greatest.

Question 19.
5.34; 5.314; 5.431; 5.134
5.134, 5.314, 5.340, 5.431

Explanation:
I ordered the give decimals from least to greatest
5.134 is the least and the 5.431 is the greatest number.

Question 20.
7.389; 7.398; 7.399; 7.388
7.388, 7.389, 7.398, 7.399

Explanation:
I ordered the give decimals from least to greatest
7.388 is the least and the 7.399 is the greatest number.

Question 21.
STEM The four planets in our solar system that are closest to the sun are called the inner planets. Mars is the farthest inner planet from the sun, and Mercury ¡s the closest to the sun. Venus is closer to the sun than Earth. The approximate planet distances from the sun in billion kilometers are 0.15, 0.228, 0.058, and 0.108. Write the planets and their distance from the sun in order from closest to farthest.

Explanation:
The four planets in our solar system that are closest to the sun are called the inner planets
Mars is the farthest inner planet from the sun, and Mercury ¡s the closest to the sun
Venus is closer to the sun than Earth
I ordered the planets and their distance from the sun from closest to farthest
The mercury is the innermost planet and mars is the farthest inner planet.

Question 22.
Open-Ended Think of a real-world situation involving decimals to the thousandth place. Write and solve a problem to order four decimals in the situation.
Order the children by name and quantity of rice they have from least to greatest
There are 4 children and each of them have some quantity of rice
A has about 1.279 part of rice
B has about 1.382 part of rice
C has about 1.154 part of rice and
D has about 1.078 part of rice

Explanation:
I compared and ordered the decimals by comparing the digit in tenths place
The order is D – 1.078, C –  1.154, A –  1.279 and B – 1.382
So, D has the least and B has the greatest quantity
C has greater than D and A has lesser than B.

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