Number and Operations in Base Ten
What is the number 345,987 rounded to the nearest ten thousand?
350,000
Which expression has the same value as 32/8 ?
a) 4/8 x 8/32
b) 32 x 1/8
c) 16 x 1/8
d) 32 x 1/4
b) 32 x 1/8
The figure shown below has two rays that share a common point.
What type of figure is shown?
An acute angle
What is the difference between parallel, perpendicular, and intersecting lines?
Parallel Lines= Lines that, if they keep going, they will never touch
Intersecting Lines= Lines that cross and their intersecting points form acute or obtuse angles
Perpendicular Lines = Lines that, when they cross, form right angles
A statement is shown below.
thirty-two is four times as many as eight
Write an equation that represents the statement.
32 = 8 x 4
What is the difference between the digit 4 in the number 46,536 and the digit 4 in the number 423,977?
The digit 4 in 46,536 is in the ten thousands place and the digit 4 in the number 423,977 is in the hundred thousands place. The digit 4 in 423,977 is ten times larger than the digit 4 in 46,536.
Which expression has the same value as 13/10 ?
a) 8/5 + 5/5
b) 8/5 + 2/5 + 3/10
c) 8/10 + 5/5
d) 8/10 + 2/10 + 3/10
d) 8/10 + 2/10 + 3/10
Which statements about the diagram shown below is most likely true?
A) Line AB is perpendicular to line CD.
B) Line AB is parallel to line CD.
C) Line EF is intersecting to line CD.
D) Line EF is parallel to line CD.
A) Line AB is perpendicular to line CD.
C) Line EF is intersecting to line CD.
A figure with all equal sides is shown below.
How many lines of symmetry does the figure have?
A) 1
B) 2
C) 5
D) 6
The hexagon has 6 lines of symmetry.
Which number is a multiple of 8 and has a factor of 3?
A 16
B 18
C 32
D 48
D 48
48 is a multiple of 8 because 8x6=48 and 48 is a factor of 3 because 48 divided by 3 is 16.
The price of a house rounded to the nearest ten thousand dollars is $220,000. Which number could be the price of the house?
A $213,690
B $224,830
C $227,310
D $230,150
B $224,830
Which expression is equivalent to 8 x 3/5 ?
A) 11 x 1/5
B) 11 x 3/5
C) 24 x 1/5
D) 24 x 3/5
C) 24 x 1/5
How many lines of symmetry does a square have? Be sure to include what you know about symmetry in your answer.
Which two quadrilaterals appear to be rectangles?
A) Figure B and Figure D
B) Figure A and Figure C
C) Figure B and Figure C
D) Figure A and Figure D
B) Figure A and Figure C
Sam buys 4 packages of baseball cards. Each package has 12 cards. Sam gives all of the baseball cards to 3 friends. Each friend receives the same number of cards. Which set of equations can be used to determine the number of cards, c , each friend receives?
A) 12 + 4 = 16
16 x 3 = c
B) 12 x 4 = 48
48 x 3 = c
C) 12 + 4 = 16
16 ÷ 3 = c
D) 12 x 4 = 48
48 ÷ 3 = c
D) 12 x 4 = 48
48 ÷ 3 = c
There are 4 packs of cards and each pack has 12 cards. 12x4=48. He divides the 48 cards evenly between 3 friends, so 48 ÷ 3 = the number of cards each friend receives.
In which number does the digit 7 represent a value that is ten times greater than the value represented by the digit 7 in the number 27,325 ?
A 95,724
B 87,615
C 74,538
D 62,479
C 74,538
Which comparison is true?
A) 1/3 = 4/6
B) 2/5 < 4/10
C) 3/4 > 7/8
D) 5/10 = 3/6
D) 5/10 = 3/6
5 is half of 10, so 5/10 is equal to 1/2.
3 is half of 6, so 3/6 is also equal to 1/2.
They may look like different fractions, but they're equivalent because they have the same value.
What type of triangle is this and how do you know?
This is an acute triangle because it only has acute angles.
A square is divided into two equal triangles as shown below.
What type of triangles are created when the square is divided into the two equal triangles?
When the square is divided, it creates two equal triangles that have one right (90 degree) angle and two acute angles (angles less than 90 degrees).
Rob draws a rectangle with a length of 6 inches and an area of 24 square inches. What is the width, in inches, of Rob’s rectangle?
A 4
B 6
C 18
D 30
A 4
A number is described below.
It has six thousands and twenty tens.
What is the number in standard form?
6,200
six thousands = 1,000+1,000+1,000+1,000+1,000+1,000
OR 1,000 x 6 = 6,000
twenty tens =
10+10+10+10+10+10+10+10+10+10+10+10+10+10+10+10+10+10+10+10
OR 20 x 10 = 200
Find the missing fraction.
3 2/4 + ____ = 4 1/4
3/4
To find the missing fraction, I know I need to do the inverse operations using the fractions I have, so I need to subtract. 4 1/4 - 3 2/4 = ?
I can't take 2/4 form 1/4, so I need to decompose my fractions and make them improper.
17/4 - 14/4 = 3/4
The diagram below shows angle ABD divided into two angles, ABC and CBD.
The measure of angle ABD is 135 degrees and the measure of angle CBD is 90 degrees. Write and solve an equation that can be used to determine the measure, in degrees, of angle ABC.
135 - 90 = <ABC
<ABC = 45
Use what you know about parallel, perpendicular, and intersecting lines to describe the lines of a rectangle.
A rectangle has two sets of perpendicular lines and two sets of parallel lines.
The perimeter of a square floor is 160 feet. What is the length, in feet, of each side of the floor?
160 divided by 4 is 40
Perimeter is the sum of all the sides being added up. I know that a square has 4 equal sides, so I know I need to divide the perimeter given (120) by the number of sides a square has (4) to get my answer.