If two whole numbers have different numbers of digits, then the number containing more digits is the larger number.
We cannot compare decimals by looking at the number of digits! However, we can compare two decimals by looking at their relative positions on a number line.
For example, let's use number lines to determine which of the following numbers is larger:
We start by drawing these decimals on a number line.
Given two numbers on a number line, the number furthest to the right is the larger number.
From the diagram, we see that is further to the right than So, is larger than We can write this as a comparison statement as follows:
Given the number line above, which symbols could replace the empty box below to make a true statement?
Given two numbers on a number line, the number furthest to the right is the larger number.
From the diagram, we see that is smaller than which means that the correct statement is the following:
So, the correct answer is "II only."
Given the number line above, which symbols could replace the empty box below to make a true statement?
\[ 1.4 \,\,\fbox{$\phantom{00}$}\,\, 1.7 \]
- $=$
- $< $
- $>$
|
a
|
III only |
|
b
|
II only |
|
c
|
I and II only |
|
d
|
I and III only |
|
e
|
I only |
Given the number line above, which symbols could replace the empty box below to make a true statement?
\[ 1.8 \,\,\fbox{$\phantom{00}$}\,\, 1.3 \]
- $=$
- $< $
- $>$
|
a
|
III only |
|
b
|
I and II only |
|
c
|
II only |
|
d
|
I only |
|
e
|
I and III only |
Given the number line above, which symbols could replace the empty box below to make a true statement?
\[ 2.4 \,\,\fbox{$\phantom{00}$}\,\, 2.37 \]
- $< $
- $=$
- $>$
|
a
|
I and II only |
|
b
|
II only |
|
c
|
II and III only |
|
d
|
III only |
|
e
|
I only |
Which symbols could replace the empty box above to make a true statement?
Given two numbers on a number line, the number furthest to the right is the larger number.
First, let's plot and on the number line.
From the diagram, we see that is smaller than which means that the correct statement is the following:
So, the correct answer is "I only."
\[ 7.1 \,\,\fbox{$\phantom{00}$}\,\, 7.8 \]
Which symbols could replace the empty box above to make a true statement?
- $>$
- $< $
- $=$
|
a
|
I and III only |
|
b
|
II only |
|
c
|
III only |
|
d
|
I only |
|
e
|
II and III only |
Which symbols could replace the empty box below to make a true statement?
\[ 5.5 \,\,\fbox{$\phantom{00}$}\,\, 5.3 \]
- $>$
- $=$
- $< $
|
a
|
II only |
|
b
|
II and III only |
|
c
|
I and II only |
|
d
|
I only |
|
e
|
III only |
Which symbols could replace the empty box below to make a true statement?
\[ 4.15 \,\,\fbox{$\phantom{00}$}\,\, 4.21 \]
- $=$
- $< $
- $>$
|
a
|
II only |
|
b
|
I only |
|
c
|
III only |
|
d
|
I and II only |
|
e
|
I and III only |
Which symbols could replace the empty box below to make a true statement?
Given two numbers on a number line, the number furthest to the right is the larger number.
First, let's plot and on a number line.
From the diagram, we see that is greater than which means that the correct statement is the following:
So, the correct answer is "II only."
Which symbols could replace the empty box below to make a true statement? \[ 5.6 \,\,\fbox{$\phantom{00}$}\,\, 5.76 \]
- $=$
- $>$
- $< $
|
a
|
III only |
|
b
|
I only |
|
c
|
I and II only |
|
d
|
I and III only |
|
e
|
II only |
Which symbols could replace the empty box below to make a true statement?
\[ 3.4 \,\,\fbox{$\phantom{00}$}\,\, 3.33 \]
- $>$
- $=$
- $< $
|
a
|
II and III only |
|
b
|
II only |
|
c
|
I and II only |
|
d
|
I only |
|
e
|
III only |
