All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 5 Fractions on a Number Line will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 5 Fractions on a Number Line
Build It
Represent the fractions \(\frac{1}{3}\), \(\frac{2}{3}\), and \(\frac{3}{3}\) on a number line.
Start at the left. Place a \(\frac{1}{3}\)-fraction tile above the number line. Trace the tile. Shade in the figure.
What fraction does the shaded area represent?
2. Place a second and third \(\frac{1}{3}\)-tile above the number line next to the shaded figure. Trace the tiles. Shade in the figures.
What fraction do the first two shaded areas represent together?
What fraction do all three shaded areas represent?
How many parts does each fraction represent?
\(\frac{1}{3}\) = ____________ part
\(\frac{2}{3}\) = _____________ parts
\(\frac{3}{3}\) = _____________ parts
Answer:
The fraction does the shaded area represent 1/3.
The fraction of the two shaded areas represent 2/3.
The fraction of all three shaded areas represent 3/3.
\(\frac{1}{3}\) = 1 part
\(\frac{2}{3}\) = 2 parts
\(\frac{3}{3}\) = 3 parts
Try It
Locate the fractions \(\frac{1}{3}\) and \(\frac{2}{3}\) on the number line.
1. One endpoint of the fraction tile that represents \(\frac{1}{3}\) is at 0.
Make a tic mark on the number line to show the other endpoint. Label the fraction.
2. One endpoint of the two fraction tiles that represent \(\frac{2}{3}\) is at 0. Make a tic mark on the number line to show the other endpoint. Label the fraction.
Answer:
Talk About It
Question 1.
Where would you place the tic mark for the fraction \(\frac{3}{3}\)? Explain.
Answer:
Here the tick is placed at the end of the other side of tile that represents \(\frac{1}{3}\) is at 0.
Question 2.
Mathematical PRACTICE Be Precise Sam is making a number line and wants to mark a point for \(\frac{3}{4}\) on the number line. Into how many parts should he divide the number line? Explain.
Answer:
Given that,
Sam is making a number line and wants to mark a point for \(\frac{3}{4}\) on the number line.
The number line having 0, 1/4, 2/4, 3/4 4/4.
Therefore the number line is divided into 4 parts.
Question 3.
Suppose Lisa makes a number line from 0 to 1. Then she divides the number line into 8 parts. What seven fractions will she place at each tic mark between 0 and 1?
Answer:
Given that,
Lisa makes a number line from 0 to 1.
Then she divides the number line into 8 parts.
The 7 fractions between 0 and 1 at each tick mark is 1/8, 2/8, 3/8, 4/8, 5/8, 6/8 7/8.
Practice It
Label each unknown with the fraction of the whole it represents.
Question 4.
Answer:
The fraction of the missing whole number is 1/6.
Question 5.
Answer:
The fraction of the missing whole number is 1/3.
Label the fractions on the number lines between 0 and 1.
Question 6.
Answer:
The missing fraction between 0 and 1 is 1/2.
Question 7.
Answer:
The missing fraction between 0 and 1 is 2/4, 3/4.
Question 8.
Answer:
The missing fraction between 0 and 1 is 1/8, 2/8, 4/8, 6/8.
Write the point that represents each fraction.
Question 9.
\(\frac{2}{6}\) is represented by point ___________.
Answer:
\(\frac{2}{6}\) is represented by point C.
Question 10.
\(\frac{1}{2}\) is represented by point _____________.
Answer:
\(\frac{1}{2}\) is represented by point B.
Apply It
Question 11.
There are 6 students in science lab. Four of the students are girls. Label the fraction on the number line which represents the number of students that are girls.
Answer:
Given that,
There are 6 students in science lab.
4 students are girls in a science lab.
The circle part represents the fraction of girls.
Question 12.
Mac drank two-fourths of his fruit smoothie. Label the fraction on the number line which represents the portion of the fruit smoothie Mac drank.
Answer:
Given that,
Mac drank two-fourths of his fruit smoothie. Means 2/4.
The circle part represents the portion of the fruit smoothie Mac drank.
Question 13.
A walking trail is 8 miles long. Mabel has walked two more miles than Sherri. Sherri has walked three-eighths of the trail. Label the fraction on the number line which represents the part of the trail Mabel has walked.
Answer:
Given that,
A walking trail is 8 miles long.
Sherri has walked three-eighths of the trail.
Mabel has walked two more miles than Sherri. It means Mabel walked five-eighths of a trail.
Therefore the fraction of the Mabel walked is 5/8.
The circle part is the fraction of Mabel walked.
Question 14.
Mathematical PRACTICE Use Number Sense Partition the number line info sixths. Label each point on the number line.
Answer:
The partition of the number line info sixths is shown on the number line.
Write About It
Question 15.
Why are number lines helpful models to use to represent fractions?
Answer:
The number line helps us to compare the fractions, help to find the equivalent fractions and it help us to see the fractions in between the two whole numbers.
McGraw Hill My Math Grade 3 Chapter 10 Lesson 5 My Homework Answer Key
Practice
Label each unknown with the fraction of the whole it represents.
Question 1.
Answer:
The fraction of the whole is 1/4.
Question 2.
Answer:
The fraction of the whole is 1/8.
Label the fractions between 0 and 1 on the number lines.
Question 3.
Answer:
The fractions on the number line are 1/3, 2/3.
Question 4.
Answer:
The fractions on the number line are 1/4, 2/4, 3/4.
Write the fraction that is represented by each point.
Question 5.
Point A is .
Answer:
The fraction of the point A is 1/8.
Question 6.
Point D is .
Answer:
The fraction of the point D is 7/8.
Question 7.
Point C is .
Answer:
The fraction of the point C is 6/8.
Question 8.
Point B is .
Answer:
The fraction of the point B is 3/8.
Problem Solving
Question 9.
Mathematical PRACTICE Use Math Tools Jamal spent \(\frac{3}{4}\) of his allowance. On the number line, label the fraction that represents the part that Jamal spent.
Answer:
Given that,
Jamal spent \(\frac{3}{4}\) of his allowance.
The circle part represents the given fraction.
Question 10.
Eric and Rachel have a total of 6 coins. One coin is a nickel, one is a dime, and the rest are quarters. On the number line, label the fraction that represents the part of the coins that are quarters.
Answer:
Given that,
Eric and Rachel have a total of 6 coins.
They have 1 coin is nickel.
1 is dime.
Rest are quarters means 6 – 2 = 4.
Therefore there are 4 quarters.
The circle part represents the quarters.
Question 11.
Elaine has read 3 pages in her book She needs to read 5 more pages. Partition the number line below into eighths. Label the fraction that represents the fraction of pages Elaine has read. Then label the fraction that represents the part of the pages Elaine still needs to read.
Answer:
Given that,
Elaine has read 3 pages in her book.
She needs to read 5 more pages.
The number of pages are 8.
The fraction that represents the fraction of pages Elaine has read is 3/8.
The fraction that represents the part of the pages Elaine still needs to read = 5/8.
The red circle represents the fraction of pages Elaine has read.
The blue circle represents the part of the pages Elaine still needs to read.