We included HMH Into Math Grade 4 Answer Key PDF Module 12 Lesson 4 Compare Decimals to make students experts in learning maths.
HMH Into Math Grade 4 Module 12 Lesson 4 Answer Key Compare Decimals
I Can use decimal models, number lines, and place-value charts to compare decimals. I can use <, >, and = to write decimal comparisons.
Step It Out
Question 1.
Jacob is going to the market. He wants to walk the route that is the shorter distance. Which of the two routes should Jacob take, red or orange?
A. Shade the hundredths model for each decimal distance.
Answer: 0.74
B. Compare the distances. Write <, >, or =.
0.74 0.8
Answer: <
C. Which route should Jacob take?
Answer:
Red color route
D. Use a number line to check your answer. Find 0.74 and 0.8 on the number line.
Answer:
red line is shorter then orange line
E. How does the number line support your answer? Explain.
Answer:
Orange line is longer then the red line,
which tells the red line is shorter route
Explanation:
Jacob is going to the market.
He wants to walk the route that is the shorter distance.
The given routes are orange route 0.8km and red route 0.74km,
when we compare the red route is shorter than the orange route.
Turn and Talk How else could you compare the decimals?
Answer:
Compare the whole number part first, if they are same then go to the next step.
Compare the tenths place, if they are different then move to the next digit.
Compare the hundredths place, f they are different then move to the next digit and so on.
Explanation:
For example;
In the above problem the given routes are 0.74km and 0.80km
compare the tenths place of decimal to know the greater than or less than.
Question 2.
Mia cuts 2.44 pounds of yellow watermelon and 2.41 pounds of red watermelon. Does Mia cut more yellow watermelon or red watermelon?
A. Record the decimals in the place-value chart.
Answer:
B. Compare the digits in each place value. Start with the greatest place value.
Ones
2 ones 2 ones
Tenths
4 tenths 4 tenths
Hundredths
4 hundredths 1 hundredth
Answer:
C. Complete the comparison.
2.44 2.41
Mia cuts more ________ watermelon.
Answer:
yellow watermelon
Explanation:
Mia cuts 2.44 pounds of yellow watermelon and 2.41 pounds of red watermelon.
compare the tenths place of both the pieces of water melon,
2.44 is greater than 2.41
Turn and Talk When would it not be necessary to compare the hundredths place of a pair of decimals?
Answer:
Comparing decimals means finding out the larger and the smaller decimal number,
when numbers in tenths is same then move to the hundredths place.
Check Understanding
Question 1.
Shade the hundredths models and use the number line to compare 0.3 and 0.18. Write <, >, or =.
0.3 0.18
Answer:
0.3 > 0.18
Explanation:
To compare greater than or less than for the given decimals 0.3 and 0.18,
compare the tenths place of the numbers and represent on number line.
0.3 > 0.18
Question 2.
Use the place-value chart to compare the decimals. Write <, >, or =.
1.55 1.52
Answer: >
Explanation:
To compare greater than or less than for the given decimals 1.55 and 1.52,
compare the whole numbers first, if they are same then move to the tenths place.
Numbers in tenth place is same then move to the hundredths place to compare.
So, 1.55 > 1.52
On Your Own
Question 3.
Use Tools Chris has two kittens, Oscar and Tigre. Which kitten is heavier?
Shade the hundredths models for each weight.
Locate and label the weights on the number line.
Answer:
Complete the comparison. Write <, >, or =.
1.35 1.7
________ is heavier.
Answer:
1.7 is heavier.
Explanation:
To compare greater than or less than for the given decimals 1.35 and 1.7,
compare the whole numbers first, if they are same move to tenths place.
So,
Use Structure Use the place-value chart to compare the decimals. Write <, >, or =.
Question 4.
2.66 2.92
Answer:
Explanation:
A decimal place value chart helps to find the place value of the digits in a decimal number.
The digit 2 is in the ones place. Therefore, its place value is 2 ones or 2.
The digits 6 and 9 are in the tenths place. Therefore, its place value is 6 tenths or 0.6 and 9 tenths or 0.9.
The digits 6 and 2 are in the hundredths place.
Therefore, its place value is 6 hundredths or 0.06 and 2 hundredths or 0.09.
Question 5.
0.9 0.11
Answer:
Explanation:
A decimal place value chart helps to find the place value of the digits in a decimal number.
The digits 9 and 1 are in the tenths place. Therefore, its place value is 9 tenths or 0.9 and 1 tenths or 0.1
The digit 1 is in the hundredths place. Therefore, its place value is 1 hundredths or 0.01
Question 6.
Open Ended Shia is comparing 0.5 to a decimal with an unknown digit in the tenths place. Explain what the tenths digit can be for the decimal to be less than 0.5. Give an example.
Answer:
Tenths digit is 4
Explanation:
0.5 > x
x is an unknown digit in the tenths place
let x = 0.49
0.5 > 0.49
Question 7.
Financial Literacy Some financial advisors suggest saving 0.15 of one’s income for retirement. Ted saves 0.20 of his pay. Locate the decimals on the number line.
Use <, >, or = to write two different comparison sentences about the decimals.
Answer:
Orange line is greater then the green line on the number line
So, 0.2 is greater then the 0.15
Explanation:
To compare greater than or less than for the given information 0.2 and 0.15,
compare the tenths place of the decimals.
Write <, >, or = to compare the decimals.
Question 8.
0.87 0.85
Answer: >
Explanation:
To compare greater than or less than for the given decimals 0.87 and 0.85
compare the tenths place first, if they are same move to hundredths place.
Question 9.
0.40 0.4
Answer: =
Explanation:
To compare greater than or less than for the given decimals 0.40 and 0.4
compare the tenths place first, if they are same move to hundredths place.
Both the tenths and hundredths place are same the the given numbers are equal to each other.
Question 10.
0.6 0.5
Answer: >
Explanation:
To compare greater than or less than for the given decimals 0.6 and 0.5,
compare the tenths place first.
Question 11.
2.2 2.42
Answer: <
Explanation:
To compare greater than or less than for the given decimals 2.2 and 2.42
compare the whole numbers first, if they are same move to tenths place.
Question 12.
0.98 1.01
Answer: <
Explanation:
To compare greater than or less than for the given decimals 0.98 and 1.01
compare the whole numbers.
Question 13.
2.5 1.74
Answer:>
Explanation:
To compare greater than or less than for the given decimals 2.5 and 1.74
compare the whole numbers place first.
Question 14.
Use Structure The table shows the amount of water left in each player’s bottle.
Use <, >, or = to write two comparison sentences about the amounts of water in two different pairs of bottles.
Answer:
Whose bottle has the least amount of water?
Answer:
Elroy
Elroy bottle has the least amount of water
Whose bottle has the greatest amount of water?
Answer:
Ken
Ken bottle has the greatest amount of water
Explanation:
The above table shows the amount of water left in each player’s bottle.
To compare greater than or less than for the given decimals numbers,
compare the whole numbers, if they are same move to the tenths place.