Place Value and Decimals
3.407 in expanded form
(3 x 1) + (4 x 1/10) + (7 x 1/1000)
36 × 7
252
Write two fractions equivalent to 3/4
(Answers will vary) 9/12; 15/20
Convert 25 m to centimeters.
25m = 2,500cm
Is every square a rectangle? Explain briefly
Yes. A square has four right angles and opposite sides equal, so it meets definition of rectangle.
Round 6.378 to the nearest tenth
6.4
Divide 864 ÷ 12
72
Find 1/3 + 1/4 (show steps to get common denominators)
4/12 + 3/12 = 7/12
Place 1/2, 1/4, 1/2, 1/8 on a line plot and find the total sum of the measurements.
1/2, 1/4, 1/2, 1/8 = 4/8 + 2/8 + 4/8 + 1/8 = 11/8 - 1 3/8
List the characteristics of a parallelogram.
2 or more pair of parallel lines.
What is 0.43 × 100
43
214 × 16
3,424
Add 2 1/2 + 3 2/3. Give the answer as a mixed number in simplest form
5/2 + 11/3 = 15/6 + 22/6 = 37/6 = 1 1/6
A ribbon is 2.5 meters long. Convert to centimeters
250cm
Plot the point (4, 2) in the first quadrant and explain what each number means
Over 4, up 2. 4 represents the x-axis, and 2 represents the y-axis.
Which is greater, 2.507 or 2.57?
2.57
3,528 ÷ 24
147
Mia drank 2/5 of a pitcher of juice, and Sam drank 3/8 of the same pitcher. How much was drunk altogether?
2/5 + 3/8 = 16/40 + 15/40 = 31/40 of the pitcher
volume (in cubic units) of a rectangular prism with length 5 units, width 3 units, and height 4 units.
5 x 3 x 4 = 60 cubic units
What is a triangle with no equal sides and 1 right angled called?
a right scalene triangle
Add 12.75 + 3.46
16.21
A factory packs 48 toys per box. They made 3,125 toys. How many full boxes can they fill and how many toys will remain?
65 full boxes with 5 toys remaining
5 ÷ 1/4
5 ÷ (1/4) = 5 x 4/1 = 20
Five beakers hold: 3/4, 1/2, 5/8, 3/8, and 1/4 liter. If the total liquid is redistributed equally among 5 identical beakers, how much will each beaker contain?
3/4 + 1/2 + 5/8 + 3/8 + 1/4 = 6/8 + 4/8 + 5/8 + 3/8 + 2/8 = 20/8 divided by 5 = 20/8 x 1/5 - 20/40 = 1/2 liters per beaker.
Real-world geometry: A floor is shaped like a rectangle 8 ft by 12 ft. A square tile has side length 2 ft. How many tiles are needed to cover the floor?
8 x 12 = 96ft2 divided by (2 x 2 =4 ) 96/4 = 24 tiles are needed.