We use place value charts to compare whole numbers with the same amount of digits.
For example, let's compare and using the place value charts below.
| ten-thousands | thousands | hundreds | tens | ones |
To compare these two numbers, we compare their place values from left to right until we find values that differ:
The digit in the ten-thousands place is the same for both numbers.
The digit in the thousands place is the same for both numbers.
For the hundreds place, notice that This means that
In words, we'd say that " is larger than "
Which digits will make the following statement true when inserted into the empty box?
Remember that "" means "greater than."
Let's write down the place value charts for both numbers.
| ten-thousands | thousands | hundreds | tens | ones |
We then compare place values, going from left to right:
The digit in the ten-thousands place is the same for both numbers.
The digit in the thousands place is the same for both numbers.
Moving on to the hundreds place, we see that the first number is larger than the second when
Therefore, the statement is true when or
Select a digit that makes the statement below true.
\[ 45,328 > 4\,\fbox{$\phantom{0}$},947 \]
|
a
|
$8$ |
|
b
|
$6$ |
|
c
|
$7$ |
|
d
|
$9$ |
|
e
|
$4$ |
A bookshop owner keeps track of the number of books sold per month starting from the beginning of the year. The table below reports his observations.
| January | February | March | April | May | |
| Number of Books | $9,652$ | $10,734$ | $8,274$ | $11,571$ | $9,208$ |
In which month did the owner sell the largest number of books?
|
a
|
March |
|
b
|
May |
|
c
|
January |
|
d
|
February |
|
e
|
April |
Which digits will make the following statement true when inserted into the empty box?
Remember that "" means "less than."
Let's write down the place value charts for both numbers.
| hundred-thousands | ten-thousands | thousands | hundreds | tens | ones |
We then compare place values, going from left to right:
The digit in the hundred-thousands place is the same for both numbers.
Moving on to the ten-thousands place, we see that the first number is smaller than the second when
Therefore, the statement is true when or
Select a digit that makes the statement below true.
\[ 1,568 < 1,5\,\fbox{$\phantom{0}$}\,6 . \]
|
a
|
$1$ |
|
b
|
$0$ |
|
c
|
$4$ |
|
d
|
$8$ |
|
e
|
$2$ |
Cesar keeps track of the number of pages in the books he reads. The table below reports the number of pages in the last five books he read.
| Book 1 | Book 2 | Book 3 | Book 4 | Book 5 | |
| Number of Pages | $1,169$ | $870$ | $1,216$ | $894$ | $1,376$ |
Which book has the least number of pages?
|
a
|
Book 4 |
|
b
|
Book 5 |
|
c
|
Book 1 |
|
d
|
Book 3 |
|
e
|
Book 2 |
The diagram above shows a number line. Which of the following numbers could be placed into the empty box?
Since the missing number lies to the left of the number it must be less than this number. Therefore,
With that in mind, let's examine our numbers in turn.
The number satisfies the condition since it has fewer digits than
The number does not satisfies the condition. Let's compare place values, going from left to right:
- In the hundreds place, we see that
thousands hundreds tens ones
So,
- In the hundreds place, we see that
The number does not satisfy the condition since it has more digits than
Therefore, the correct answer is "I only."
The diagram above shows a number line. Which of the following numbers could be placed into the empty box?
- $112$
- $83$
- $1,032$
|
a
|
III only |
|
b
|
I only |
|
c
|
I and II only |
|
d
|
II only |
|
e
|
II and III only |
The diagram above shows a number line. Which of the following numbers could be placed into the empty box?
- $104,812$
- $673,502$
- $23,551$
|
a
|
I and II only |
|
b
|
II and III only |
|
c
|
I only |
|
d
|
III only |
|
e
|
I and III only |