E P Multiplication and Fraction Comparisons Quiz

Multiply 234 by 6 using the place value strategy. What is the product?

• 1,404

• 1,324

• 1,404

• 1,344

Answer explanation

To multiply 234 by 6 using place value, break it down: (200 + 30 + 4) x 6 = 1200 + 180 + 24 = 1404. However, the correct product is 234 x 6 = 1404, but the answer choices include 1,344, which is incorrect.

• They are equal

• Cannot be determined

Answer explanation

To compare \(\frac{3}{4}\) and \(\frac{5}{8}\), convert \(\frac{3}{4}\) to eighths: \(\frac{3}{4} = \frac{6}{8}\). Since \(\frac{6}{8} > \frac{5}{8}\), \(\frac{3}{4}\) is greater.

• 42 is 6 times as many as 7

• 42 is 7 times as many as 6

• 42 is 6 more than 7

• 42 is 7 more than 6

Answer explanation

The equation 42 = 6 × 7 means that 42 is the result of multiplying 6 by 7. Therefore, it indicates that 42 is 6 times as many as 7, making the first answer choice correct.

Solve the word problem: A box contains 8 rows of 5 apples each. How many apples are there in total?

• 35

• 40

• 45

• 50

Answer explanation

To find the total number of apples, multiply the number of rows by the number of apples per row: 8 rows × 5 apples/row = 40 apples. Therefore, the correct answer is 40.

Solve the multi-step problem: Sarah has 3 bags with 12 marbles each. She gives 10 marbles to her friend. How many marbles does she have left?

• 26

• 36

• 30

• 32

Answer explanation

Sarah has 3 bags with 12 marbles each, totaling 36 marbles. After giving away 10 marbles, she has 36 - 10 = 26 marbles left. Therefore, the correct answer is 26.

Multiply 56 by 23 using the area model. What is the product?

• 1,288

• 1,248

• 1,318

• 1,288

Answer explanation

To find the product of 56 and 23 using the area model, break it down: 56 = 50 + 6 and 23 = 20 + 3. Calculate areas: (50x20) + (50x3) + (6x20) + (6x3) = 1000 + 150 + 120 + 18 = 1288. Thus, the product is 1,288.

• 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.

• 28 is 4 times as many as 7

• 28 is 7 times as many as 4

• 28 is 4 more than 7

• 28 is 7 more than 4

Answer explanation

The equation 28 = 4 × 7 means that 28 is the result of multiplying 4 by 7. This indicates that 28 is 4 times as many as 7, confirming the correct choice.

Solve the word problem: A garden has 9 rows of 6 flowers each. How many flowers are there in total?

• 54

• 56

• 60

• 64

Answer explanation

To find the total number of flowers, multiply the number of rows by the number of flowers per row: 9 rows × 6 flowers/row = 54 flowers. Therefore, the correct answer is 54.

Solve the multi-step problem: Tom has 5 packs of 8 pencils each. He gives 7 pencils to his friend. How many pencils does he have left?

• 33

• 35

• 37

• 40

Answer explanation

Tom has 5 packs of 8 pencils, totaling 40 pencils. After giving away 7 pencils, he has 40 - 7 = 33 pencils left. Therefore, the correct answer is 33.