Mathorio
Answer key
Expanded Form
Show your work for each problem.
- 1.What is the expanded form of ?
- a)
- b)
- c)
- d)
Answer:
In , the 3 is in the hundreds place (), the 2 is in the tens place (), and the 5 is in the ones place (). So .
- 2.Which number is written in expanded form?
- a)
- b)Five hundred forty-seven
- c)
- d)
Answer:
is expanded form because it shows each digit's actual value: 5 hundreds, 4 tens, and 7 ones.
- 3.What is the value of the digit 6 in the number ?
Answer: 6000
The digit 6 is in the thousands place, so its value is .
- 4.Write in expanded form. (Use + between values, no spaces)
Answer: 70+4
. The 7 is in the tens place () and the 4 is in the ones place ().
- 5.Write in expanded form.
Answer: 800+50+2
- What is the value of the hundreds digit (8)? 800
- What is the value of the tens digit (5)? 50
- What is the value of the ones digit (2)? 2
- 6.What is in standard form?
- a)
- b)
- c)
- d)
Answer:
. When we add all the place values together, we get the standard form.
- 7.What is the correct expanded form of ?
- a)
- b)
- c)
- d)
Answer:
In , there are 0 tens. Since adding 0 doesn't change anything, we write (skipping the 0).
- 8.Convert to standard form.
Answer: 3251
. We combine all the place values to get the standard form.
- 9.What is the value of the digit 4 in ?
Answer: 4000
The 4 is in the thousands place, so its value is .
- 10.Write in expanded form.
Answer: 3000+40+5
- What is the value of the thousands digit (3)? 3000
- Is there a value for the hundreds digit (0)? 0
- What is the value of the tens digit (4)? 40
- What is the value of the ones digit (5)? 5
- 11.Write in expanded form.
Answer: 6000+700+8
- What is the value of the thousands digit (6)? 6000
- What is the value of the hundreds digit (7)? 700
- What is the value of the tens digit (0)? 0
- What is the value of the ones digit (8)? 8
- 12.Which shows the correct expanded form of ?
- a)
- b)
- c)
- d)
Answer:
. The hundreds and tens places are both 0, so we skip them in expanded form.
- 13.A number in expanded form is . What is this number in standard form?
Answer: 5309
. Since tens is missing, we put a 0 in that place.
- 14.Write in expanded form.
Answer: 8000+40
- What is the value of the thousands digit (8)? 8000
- What is the value of the hundreds digit (0)? 0
- What is the value of the tens digit (4)? 40
- What is the value of the ones digit (0)? 0
- 15.Convert to standard form.
Answer: 7062
- What digit goes in the thousands place? 7
- What digit goes in the hundreds place? 0
- What digit goes in the tens place? 6
- What digit goes in the ones place? 2
- 16.A book costs cents. What is the price in standard form?
Answer: 2345
- Add the thousands and hundreds: ? 2300
- Add the tens: ? 2340
- Add the ones: ? 2345
- 17.Write in expanded form.
Answer: 10000+500+2
- What is the value of the ten-thousands digit (1)? 10000
- What is the value of the thousands digit (0)? 0
- What is the value of the hundreds digit (5)? 500
- What is the value of the tens digit (0)? 0
- What is the value of the ones digit (2)? 2