All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 8 Order Whole Numbers and Decimals will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 8 Order Whole Numbers and Decimals
Example 1
The table shows the cost to build three National Football League stadiums. Order the costs of the
stadiums from greatest to least.
One Way Use place value.
Answer:
The cost to build INVESCO Field = 364.2
The cost to build Ford Field = 430.0
The cost to build Qwest Field = 350.0
Now we need to compare the digits to order them In a greatest to least order.
4 is greater than 3
– So we got the greatest number which is 430.3
– Now check for the next greatest number
– 6 > 5. Hence, the second number is 364.2
Therefore, the order from greatest to least is 430.0, 364.2, and 350.0
Another Way Use a number line.
Place dots on the number line to represent the approximate locations of the decimals.
So, the costs, in millions of dollars, from greatest to least are ____, ____, and ___.
Answer:
A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.
Therefore, the order from greatest to least is 430.0, 364.2, and 350.0
Example 2
Four trees in a state forest had heights of 22.65, 23.8, 22, and 23.25 feet. Order the heights from
least to greatest
Helpful Hint
To annex a zero means to add a zero at the end of a number.
Question 1.
Line up the numbers by their decimal points.
Answer:
The height of the first tree = 22.65
The height of the second tree = 23.8
The height of the third tree = 22
The height of the fourth tree = 23.25
Now compare the heights.
Question 2.
Annexe zeros so that all numbers have the same final place value.
Answer:
The height of the first tree = 22.65
The height of the second tree = 23.8
The height of the third tree = 22
The height of the fourth tree = 23.25
If we put zeroes for the third tree then we can easily compare.
– 22.00
Now the numbers are 22.65, 23.80, 22.00, and 23,25
Now all the numbers are having the same place value.
Question 3.
Compare the digits using place value.
The least number is ____.
The greatest number is ___.
The heights, in feet, from least to greatest are ___, ____, ____ and ___.
Answer:
The first digit in the tenths place is the same. Now check for the one’s place.
– Likewise, compare the digits.
– 2 < 3; If we put zeroes for the third tree then we can easily compare.
– 22.00; Now compare 0 and 6
– 0 < 6. Hence the third tree has the least height.
The least number is 22.00
The greatest number is 23.80
Likewise, compare all the numbers.
Therefore, the order from least to highest is 22, 22.65, 23.25, and 23.80
Guided Practice
Order each set of numbers from least to greatest
Question 1.
weight in kilograms of a dog: 56.7, 64.3, 59.0, 64.5
Answer:
There are different weights are given.
Here we need to order the numbers from least to greatest.
Now compare the weights.
First line up the numbers:
56.7, 59.0, 64.3, 64.5
– Now compare the greatest digits or which are having different digits.
– 6 < 9; so here, the least number is 56.7
– 3 < 5; after sorting out all the weights, the order is
56.7, 59.0, 64.3, 64.5
Talk Math
Discuss different steps that make ordering numbers easier.
Answer:
– Ordering Numbers is a method of arranging them in order – either from small to big or big to small. When we arrange numbers in ascending order, we arrange them from small to big, and when we arrange numbers from big to small, it is called descending order.
– We can compare numbers using different methods such as on a number line, by counting, or by counting the number of digits, using place values of the numbers, etc.
Question 2.
rainfall in inches: 0.76, 0.09, 0.63, 0.24
Answer:
There are different rainfall measured in inches:
Here we need to order the numbers from least to greatest.
Now compare the inches
First line up the numbers:
0.76, 0.09, 0.63, 0.24
– Now compare the greatest digits or which are having different digits.
– 0 < 2, 6, 7
– 3 < 4, 6, 9
After sorting out all the numbers, the answer is
0.09, 0.24, 0.63, 0.76
Question 3.
height of flowers in inches: 8.9, 8.59, 8.705, 8.05
Answer:
There are the different heights of flowers in inches:
Here we need to order the numbers from least to greatest.
Now compare the inches
First line up the numbers:
8.90, 8.59, 8.705, 8.05
– Now compare the greatest digits or which are having different digits.
After sorting out all the numbers, the answer is
8.05, 8.59, 8.705, 8.05
Question 4.
The lengths of insects in centimetres are 1.35, 0.9, 1.48, and 1.8. Order the sizes of the insects from greatest to least.
Answer:
There are different lengths of insects in centimetres:
Here we need to order the numbers from greatest to least
Now compare the inches
First line up the numbers:
1.35, 0.9, 1.48, 1.8
– Now compare the greatest digits or which are having different digits.
After sorting out all the numbers, the answer is
1.8, 1.48, 1.35, 0.9
Independent Practice
Order each set of numbers from least to greatest.
Question 5.
cost of cellphones: $98.75, $114.99, $105.99
Answer:
There are different costs of cellphones are given
– Line up the numbers
98.75, 114.99, 105.99
– Now compare the numbers
or else make them in an ascending order
The order is 98.75, 105.99, and 114.99
Question 6.
temperatures in °F: 106.3, 99.8, 101.1, 110.5
Answer:
There are different temperatures are given
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
– 99.8, 101.1, 106.3, 110.5
Question 7.
distance in light years: 4.2, 6.0, 4.3, 7.7
Answer:
There are different distances in light years are given
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
4.2, 4.3, 6.0, 7.7
Question 8.
heights of buildings in meters: 419.7, 346.5, 178.3, 527.3
Answer:
There are different heights of buildings in metres
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
178.3, 346.5, 419.7, 527.3
Question 9.
kilometers ran: 4.9, 3.7, 3.4, 4.2
Answer:
There are different kilometres ran are given
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
3.4, 3.7, 4.2, 4.9
Order each set of numbers from greatest to least.
Question 10.
cost of snacks: $2.43, $2.34, $2.05, $2.18
Answer:
There are different costs of snacks.
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
2.43, 2.34, 2.18, 2.05
Question 11.
masses of bottles in grams: 9.14, 7.99, 9.02, 8.95, 8.91
Answer:
There are different masses of bottles in grams.
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
9.14, 9.02, 8.95, 8.91, 7.99
Question 12.
race times in seconds: 43.789, 67.543, 86.347, 78.432, 34.678
Answer:
There are different races times in seconds
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
86.347, 78.432, 67.543, 43.789, 34.678
Question 13.
heights of trees in meters: 9.8, 10, 10.2, 9.6, 11
Answer:
There are different heights of trees in metres
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
11, 10.2, 10, 9.8, 9.6
Question 14.
weights of dogs ¡n pounds: 25.4, 26.2, 26, 25.8, 27
Answer:
There are different weights of dogs in pounds
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
– 27, 26.2, 26, 25.8, 25.4
Problem Solving
Mathematical PRACTICE 3 Draw a Conclusion The table shows facts about snakes common to the United States.
Question 15.
List the average baby body lengths, in centimetres, from least to greatest.
Answer:
There are different baby body lengths in cms
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
15.2, 21.5, 27.9, 29.5
Question 16.
Write the names of the snakes in order from greatest to least average adult body length.
Answer:
There are different adult body lengths in cm given.
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
Here we need to write the names of the snakes.
The timber rattlesnake, Western Cottonmouth, Copper head, Queensnake.
Question 17.
The average length of an adult Eastern Coachwhip snake is 152.4 centimetres. Write a sentence comparing its length to the length of the other snakes listed ¡n the table.
Answer:
An Eastern Coachship is longer than all the other snakes in the table.
Hot Problems
Question 18.
Mathematical PRACTICE 1 Make Sense of Problems Write an ordered list of five numbers whose values are between 50.98 and 51.6. Tell whether your list is from least to greatest or greatest to least.
Answer:
The numbers are 50.99, 51, 51.05, 51.1, 51.4
Here, the order is from least to greatest which is nothing but an ascending order.
Question 19.
? Building on the Essential Question How does compare numbers help to order numbers?
Answer:
When you compare the numbers it allows you to find which number is the greatest or the least and from this you can find the order.
McGraw Hill My Math Grade 5 Chapter 1 Lesson 8 My Homework Answer Key
Practice
Order each set of numbers from least to greatest.
Question 1.
17.639, 3.828, 45.947
Answer:
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
3.828, 17.639, 45.947
Question 2.
890.409, 890.904, 809.904
Answer:
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
809.904, 890.409, 890.904
Order each set of numbers from greatest to least.
Question 3.
2.654, 2.564, 2.056, 2.465
Answer:
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
2.654, 2.564, 2.465, 2.056
Question 4.
1.11,0.111, 1.01, 1.001
Answer:
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
1.11, 1.01, 1.001, 0.111
Problem Solving
Question 5.
Mathematical PRACTICE 2 Use Number Sense The table shows the heights of four students. Arrange the students in order from shortest to tallest.
Answer:
The height of Kim = 56.03
The height of the Alexa= 56.3
The height of the Roy= 56.14
The height of the Tom = 57.1
Now we need to order them in the shortest to tallest.
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
56.03, 56.3, 56.14, 57.1
Question 6.
Lauren spent $3.26 for lunch on Tuesday. She spent $1.98 on Wednesday and $2.74 on Thursday. Order the prices from greatest to least.
Answer:
The amount Lauren spent for lunch on Tuesday= 3.26
The amount Lauren spent for lunch on Wednesday = 1.98
The amount Lauren spent for lunch on Thursday = 2.74
We need to order the prices from greatest to least
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– when we arrange numbers from big to small, it is called descending order.
3.26, 2.74, 1.98
Question 7.
The four fastest times in a race were 27.08 seconds, 27.88 seconds, 27.8 seconds, and 26.78 seconds. 1
Order these times from least to greatest.
Answer:
There are four different fastest times in a race.
The numbers are 27.08; 27.88; 27.8; 26.78
Comparing and ordering numbers is a concept in math where we compare the numbers according to their values and identify the smaller and bigger numbers and then order them in ascending or descending order.
– When we arrange numbers in ascending order, we arrange them from small to big.
26.78, 27.08, 27.8, 27.88
Test Practice
Question 8.
Four boxes to be mailed are weighed at the post office. Box A weighs 8.25 pounds, Box B weighs 8.2 pounds, Box C weighs 8.225 pounds, and Box D weighs 8.05 pounds. Which box is the heaviest?
A. Box A
B. Box B
C. Box C
D. Box D
Answer: Option A is correct.
The weight of box A = 8.25
The weight of box B = 8.2
The weight of box C = 8.225
The weight of box D = 8.05
We need to find out the heaviest box.
Now compare the digits and order them.
The heaviest one is 8.25 pounds which is box A.