Case Final PART 1

What is 4,176 × 32?

• 133,632

• 133,600

• 131,422

• 131,412

Answer explanation

To find 4,176 × 32, multiply the two numbers. The calculation gives 133,632, which matches the correct answer choice. The other options are incorrect as they do not result from this multiplication.

Tags

CCSS.5.NBT.B.5

Which comparison is true?

• 9.1 > 9.11

• 8.09 > 8.9

• 6.23 < 6.3

• 3.5 < 3.05

Answer explanation

The correct comparison is 6.23 < 6.3 because 6.3 is greater than 6.23. The other comparisons are false: 9.1 is less than 9.11, 8.09 is less than 8.9, and 3.5 is greater than 3.05.

Tags

CCSS.4.NF.C.7

Which represents 36 divided by the sum of 8 and 4?

• 36 ÷ (8 + 4)

• 8 ÷ (4 + 36)

• (36 ÷ 8) + 4

• (8 + 4) ÷ 36

Answer explanation

The question asks for 36 divided by the sum of 8 and 4. The correct representation is 36 ÷ (8 + 4), which calculates 36 divided by 12. The other options do not correctly represent this operation.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

What is the quotient when 5.4 is divided by 9?

• 0.06

• 0.6

• 6

• 60

Answer explanation

To find the quotient of 5.4 divided by 9, perform the division: 5.4 ÷ 9 = 0.6. Therefore, the correct answer is 0.6.

Tags

CCSS.5.NBT.B.7

A teacher asks two students to find the volume of a right rectangular prism. The table shows the students' work. Whose work is correct?

• both Student 1 and Student 2

• neither Student 1 nor Student 2

• Student 1 only

• Student 2 only

Answer explanation

Student 1 had 6 as the length and it should have been 7

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Which equation is correct?

Answer explanation

Use 4 square to find the equivalent fractions with 100 as the denominator.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

• The decimal point moves 2 places to the left because the exponent shows how many times 70 is divided by 10.

• The decimal point moves 2 places to the right because the exponent shows how many times 70 is divided by 10.

• The decimal point moves 3 places to the left because the exponent shows how many times 70 is divided by 10.

• The decimal point moves 3 places to the right because the exponent shows how many times 70 is divided by 10.

Answer explanation

When dividing by 10^2, you move the decimal point 2 places to the left. This is because the exponent indicates how many times 70 is divided by 10, resulting in a smaller value.

Tags

CCSS.5.NBT.A.2

Consider the expression. 36 ÷ (9 + 3) If the parentheses are removed, how does the value of the expression change?

• The value of the expression increases by 1.

• The value of the expression increases by 3.

• The value of the expression increases by 4.

• The value of the expression remains the same.

Answer explanation

Removing the parentheses changes the expression to 36 ÷ 9 + 3 which means division comes before addition according to PEMDAS. This evaluates to 4 + 3 = 7, while the original expression evaluates to 3. Thus, the value increases by 4.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

A family records the amount of butter, in cups, each recipe uses. Each x represents 1 recipe. What is the total amount of butter, in cups, the family uses?

• 3 1/2 cups

• 4 1/2 cups

• 7 cups

• 8 cups

Answer explanation

To find the total amount of butter used, add the amounts from each recipe. Change all the fractions to 4ths (1/4, 2/4, 3/4, 4/4). Then multiply each fraction by the number of x's each has. 1/4 x 4............and so on. Then add all those up and simplify.

Tags

CCSS.5.MD.B.2

Four students are asked to write the expression 28 ÷ 4 as a fraction. The table shows each student's response. Which student is correct?

• Student 1

• Student 2

• Student 3

• Student 4

Answer explanation

Student 3 is correct because 28 ÷ 4 can be expressed as the fraction 28/4. This fraction simplifies to 7, which is the correct representation of the division.

Tags

CCSS.5.NF.B.3