Expanded Form
Write 3,864 in expanded form.
3,000 + 800 + 60 + 4
In the number 4.5827, what is the value of the digit 8?
0.08 or 8 hundredths
Mrs. Carter is filling a rectangular prism-shaped box with math manipulatives. The box has a length of 8 inches, a width of 5 inches, and a height of 6 inches.
V = l × w × h
8 × 5 × 6 = 240 cubic inches
The volume is 240 cubic inches.
A bakery baked 125 cupcakes on Monday and 138 cupcakes on Tuesday. They sold 210 cupcakes over the two days. How many cupcakes do they have left?
Total baked: 125 + 138 = 263
Left: 263 – 210 = 53 cupcakes
Which number matches this expanded form?
5,000 + 200 + 9
5,209
Which digit is in the ten-thousandths place in the number 6.3498?
8
The number on the board is 7.4826.
How does the value of the digit 8 compare to the value of the digit 2?
Use place value reasoning in your explanation.
8 is in the hundredths place (0.08).
2 is in the ten-thousandths place (0.0002).
0.08 is 400 times 0.0002.
The value of the 8 is 400 times the value of the 2.
3/4 - 1/8=
3/4 – 1/8 = 6/8 – 1/8 =
5/8 yard
Write 7,305 in expanded form. Be careful!
7,000 + 300 + 5
Which comparison is true?
A. 0.4567 > 0.4657
B. 0.7891 < 0.7981
C. 0.6024 > 0.6204
D. 0.3409 > 0.3490
B. 0.7891 < 0.7981
A school collected 5,304 canned goods during a food drive.
Write 5,304 in expanded form.
Expanded form: 5,000 + 300 + 4
A rectangular prism has a length of 7 cm, width of 3 cm, and height of 4 cm. What is its volume?
V = l × w × h = 7 × 3 × 4 = 84 cubic cm
Write 9.46 in expanded form.
9 + 0.4 + 0.06
In the number 4,444, how does the value of the 4 in the thousands place compare to the 4 in the hundreds place?
4,000 is 10 times 400
Two storage bins are shaped like rectangular prisms.
Bin A: 10 in × 4 in × 3 in
Bin B: 6 in × 5 in × 4 in
Which bin has the greater volume? How much greater?
Bin A: 10 × 4 × 3 = 120 cubic inches
Bin B: 6 × 5 × 4 = 120 cubic inches
They have equal volumes (0 difference).
A school is arranging chairs for a concert. There are 432 chairs and each row can hold 12 chairs.
How many rows of chairs will there be?
432 ÷ 12 = 36 rows
Write 8,247 in expanded form using multiplication.
(8 × 1,000) + (2 × 100) + (4 × 10) + (7 × 1)
In the number 6.2845, how does the value of the 4 compare to the value of the 8?
0.004 is 1/10 of 0.04
A race lasted 3.4065 kilometers.
What is the value of the digit 6?
The digit 6 has a value of 0.006 (six thousandths).
A gardener plants 27 flowers in each row. If she plants 15 rows, how many flowers does she plant in total?
27 × 15 = 405 plants