Exploring Integers and Rational Numbers

Plot -5 and its opposite number on the number line

Tags

CCSS.6.NS.C.6A

• A

• B

• C

• D

Tags

CCSS.6.NS.C.6C

Identify the integer on the number line that is located between -3 and -1.

• -4

• -2

• 0

• 1

Answer explanation

The integer between -3 and -1 on the number line is -2. It is greater than -3 and less than -1, making it the only correct choice among the options provided.

Tags

CCSS.6.NS.C.6C

What is an integer?

• A number that sits on the number line that includes decimals or fractions

• A number that sits on the number line that doesn't include decimals or fractions

• A number that sits on the number line that doesn't include 0, decimals, or fractions

• Any number on the number line

Answer explanation

An integer is defined as a whole number that does not include decimals or fractions. Therefore, the correct choice is that it is a number on the number line that doesn't include decimals or fractions.

Tags

CCSS.8.NS.A.1

• 1 block

• 9 blocks

• 10 blocks

• 11 blocks

Answer explanation

Victoria is 5.5 blocks west and Jorge is 4.5 blocks east of the park. The total distance between them is 5.5 + 4.5 = 10 blocks. Therefore, Tammy and Carlos live 10 blocks apart.

Tags

CCSS.7.EE.B.3

Which integer represents 35 feet above sea level?

• -35

• 35

• +35

• 35.0

Answer explanation

The question asks for the integer that represents 35 feet above sea level. The correct choice is 35, as it directly indicates the height above sea level without any negative sign or additional formatting.

Tags

CCSS.6.NS.C.5

Which integer represents a loss of 5 dollars?

• 5

• -5

• 0

• 10

Answer explanation

A loss of 5 dollars is represented by -5, as negative values indicate a decrease or loss in amount. Therefore, -5 is the correct choice.

Tags

CCSS.6.NS.C.5

On a number line, which integer is 3 units to the left of 2?

• 5

• -1

• -3

• 1

Answer explanation

To find the integer 3 units to the left of 2, subtract 3 from 2: 2 - 3 = -1. Therefore, the correct answer is -1.

Tags

CCSS.7.NS.A.1B

• They are equal

• Cannot be determined

Answer explanation

To compare \(\frac{7}{10}\) and \(\frac{3}{5}\), convert \(\frac{3}{5}\) to a denominator of 10: \(\frac{3}{5} = \frac{6}{10}\). Since \(\frac{7}{10} > \frac{6}{10}\), \(\frac{7}{10}\) is greater.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Order the following integers from greatest to least: -2, 3, 0, -5.

• 3, 0, -2, -5

• -5, -2, 0, 3

• 0, 3, -2, -5

• 3, -2, 0, -5

Answer explanation

To order the integers from greatest to least, compare their values. 3 is the largest, followed by 0, then -2, and finally -5. Thus, the correct order is 3, 0, -2, -5.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B