Samir needs
3
8
yard of a string for a project.
He has a stick that is
1
8
yard long.
How many
1
8
yard lengths does he need to measure to get
3
8
yard of string?
Use the diagram below to help.
A number line from 0 to 1 yard is divided into 8 equal parts. A line labeled
A.
1
B.
3
C.
5
To get 3/8 yard of string, Samir needs 3 lengths of 1/8 yard string. He can measure this by using the stick and counting how many times he needs to measure 1/8 yard.
Using the diagram below, he can line up the stick at 0 and measure up to 3/8 yard by counting 1/8 yard lengths. He will need to measure up to the label "3" on the number line, which represents 3/8 yard.
Number line diagram:
0------------1/8------------1/4------------3/8------------1/2------------5/8------------3/4------------7/8------------1
Stick measurement:
|--------|--------|--------|--------|--------|--------|--------|--------|
0 1/8 1/4 3/8 1/2 5/8 3/4 7/8 1
|
measurement stops at "3" on number line
Is the sum of two integers always greater than the difference between them. Why or why not? Give examples to support your answer
No, the sum of two integers is not always greater than the difference between them.
For example, consider the integers 5 and 7. The sum of these two integers is 12, but the difference between them is only 2. In this case, the sum is greater than the difference.
However, consider the integers 15 and 7. The sum of these two integers is 22, but the difference between them is 8. In this case, the difference is greater than the sum.
Therefore, it depends on the values of the integers being compared. Sometimes the sum will be greater than the difference, and sometimes the difference will be greater than the sum.
To find out how many 1/8 yard lengths Samir needs to measure to get 3/8 yard of string, we can use the diagram provided.
First, locate point A on the number line. Point A represents 1/8 yard.
Next, locate point B on the number line. Point B represents 3/8 yard.
Now, count the number of segments between points A and B. Each segment represents 1/8 yard.
Using the diagram, we see that there are 2 segments between points A and B.
Therefore, Samir needs to measure 2 1/8 yard lengths to get 3/8 yard of string.