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Grade 5 Bop Problem
and
Directions for Duplicating
Submitted by:
Directions for Duplicating Bops
• Changing the values on the bop’s original problem, so that the
problem is numerically different, but requires the same skills as the
original bop to solve. This means that the duplicated bop must not
fundamentally alter the scaffolding (or problem-solving steps, visual
aids, and hints) of the original bop.
• Changing the values in the final answer box. If it is a multiple
choice question, both the correct and incorrect answers should be
changed, as well as the relative positioning of these answers. If it is
a question which requires students to enter values into a text box,
then all possible correct answers must be updated to reflect the
new solution.
• For each step in the bop, change the values in each critical
thinking statement and hints to reflect the duplicate problem,
including all values contained in the text of the critical thinking
statement, the hints, multiple choice or text-box answers, and
incorrect answer responses. This should be done in such a way that
the only thing changing in the bop are the numbers themselves, not
the wording, labels, units, or variables.
Bop Problem (5.NBT.A.1)
What is the final answer?
Recognize that in a multi-digit number, a digit
in one place represents 10 times as much as it
represents in the place to its left.
How many times greater is the value of the digit 6 in 5,643
than the value of the digit 6 in 2,763?
1/100 as large
 1/10 as large
 10 times larger
 100 times larger

Submit Answer
( 10 times larger)
Ask for Help
Step 1 of 3. (4.NBT.A.2-1)
Read and write multi-digit whole numbers
using base-ten numerals, number names, and
expanded form.
Let’s look at one number at a time.
What value does the digit 6 have in 5,643?
6
 60
 600
 6000

Submit Answer
( 600)
Next Hint
5,643
2,763
Here’s a hint!
We need to determine the place value of the 6 in 5,643.
Next Hint
Back to Bop
Here’s a hint!
The value of a digit in a number is found by multiplying the
digit by the place value. For example, suppose we want to
find the value of the “2” in 243. We could think about the
problem this way.
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
We can also think about the place value in terms of powers of
10.
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
We can use powers of ten to find the value of digits. For
example, to find the value of “2” in 243.
Previous Hint
Next Hint
Back to Bop
Step 2 of 3. (4.NBT.A.2-1)
Read and write multi-digit whole numbers
using base-ten numerals, number names, and
expanded form.
We’ve found the digit 6 in 5,643 has a value of 600.
What is the value of the digit 6 in 2,763?
5,643
100
 60
 10
 6

Submit Answer
( 60)
Next Hint
2,763
Here’s a hint!
We need to determine the place value of the 6 in 2,763.
Next Hint
Back to Bop
Here’s a hint!
The value of a digit in a number is found by multiplying the
digit by the place value. For example, suppose we want to
find the value of the “2” in 243. We could think about the
problem this way.
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
We can also think about the place value in terms of powers of
10.
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
We can use powers of ten to find the value of digits. For
example, to find the value of “2” in 243.
Previous Hint
Next Hint
Back to Bop
Step 3 of 3. (4.NBT.A.1)
Recognize that in a multi-digit whole number,
a digit in one place represents ten times what
it represents in the place to its right. .
We know that the digit 6 in 5,643 has a value of 600
and the digit 6 in 2,763 has a value of 60.
5,643
How many times greater is the value of the digit 6 in
5,643 than the value of the digit 6 in 2,763?
1000 times larger
 100 times larger
 10 times larger
 1/10 as large

Submit Answer
( 10 times larger)
Next Hint
2,763
Here’s a hint!
Hundred
Thousands
Ten
Thousands
One
Thousands
Hundreds
Tens
Ones
Let’s put the numbers in a place value chart.
100,000
105
10,000
104
1,000
103
5
2
100
102
6
7
10
101
4
6
1
100
3
3
Next Hint
Back to Bop
Here’s a hint!
In 5,643 the 6 is in the hundreds place. In 2,763 the 6 is in the
tens place. Let’s think about 100 in terms of 10.
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
We can also think about the problem this way:
5,643
2,763
600 = 60 ● ?
Previous Hint
Next Hint
Back to Bop
Here’s a hint!
Each power of 10 is 10 times larger than the power before.
Previous Hint
Next Hint
Back to Bop