6th Grade Math Benchmark Review - TEKS Aligned

Which of the following is a rational number? Select all answers that apply.

• $-51$

• $3.75$

• $4$
  

• $2\ \frac{1}{2}$
  

Answer explanation

Rational numbers - all positive and negative numbers including decimals and fractions

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

The math teacher wrote the following rational numbers on the board:

 $5$  ,  $-5\ \frac{1}{2}$  ,  $5.3$  ,  $-4\ \frac{5}{16}$  
Which list shows these numbers in order from greatest to least?

•  $5.3$  ,  $5$  ,  $-4\ \frac{5}{16}$  , $-5\ \frac{1}{2}$  

•  $-5\ \frac{1}{2}$  ,  $5$  ,  $5.3$  , $-4\ \frac{5}{16}$  

•   $-5\ \frac{1}{2}$  ,   $-4\ \frac{5}{16}$  ,  $5$  ,  $5.3$   

•  $5$  ,  $-5\ \frac{1}{2}$  ,  $5.3$   $-4\ \frac{5}{16}$  

Answer explanation

If you convert the fractions into decimals, it is easier to compare:

 $-4\ \frac{5}{16}\ =\ -4.3125$  
 $-5\ \frac{1}{2}\ =\ -5.5$  

Organize your negative and positive numbers together:

Positive:  5 ,  5.3    --->   Which is greater?
Negative: -4.3125,   -5.5   --->   The negative number that is closer to zero will be greater!

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Is -5.4 less than -3.4 and 1.6?

• True

• False

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which option represents the order of these Integers from coldest to warmest:
 $0\degree F$   $-10\degree F$   $-5\degree F$   $8\degree F$  

•  $0\degree F$   $-10\degree F$   $-5\degree F$   $8\degree F$  

•  $-10^oF$   $8\degree F$   $-5\degree F$   $0\degree F$  

•  $-10\degree F$   $-5\degree F$   $0\degree F$   $8\degree F$  

•  $8\degree F$   $0\degree F$   $-10\degree F$   $-5\degree F$  

Answer explanation

Larger appearing negative numbers are more negative. When talking about temperature, it means it is colder.

 $-10\degree F\ is\ colder\ than\ -5\degree F$  

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

 $\left|-\frac{1}{2}\right|$  

Which point represents the value of

Answer explanation

Absolute value is the distance away from zero. This number is always the positive version of any number.

 $\left|-\frac{1}{2}\right|\ =\ \frac{1}{2}$  

Tags

CCSS.6.NS.C.7C

Which venn diagram shows the correct relationship among different sets of numbers and the correct placement of  $1.5$  and  $-3$  

• 
• 
• 
• 

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

 $112\ \div\ \frac{4}{3}$  

Tags

CCSS.6.NS.A.1

Which of the following decimals are greater than -5.25 and 5.2

• -5.365

• 5.174

• 5.365

• -5.274

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Find the sum of the teams' golf scores.

Answer explanation

Sum means total. We are going to add.

Add the negative integers together $-2\ +\ \left(-4\right)\ +\ \left(-1\right)\ =\ -7$

Add the positive 3

$-7\ +\ 3$

Since the signs on both integers are different, you are going to subtract and take the sign of the integer whose absolute value is greater.

Our answer is -4

Tags

CCSS.7.NS.A.1B

What is the value of  $\frac{4}{15}\div\frac{2}{3}$  ?

•  $\frac{8}{45}$  

•  $\frac{14}{15}$  

•  $\frac{5}{2}$  

•  $\frac{2}{5}$  

Tags

CCSS.6.NS.A.1