Mathematics Flashcards

What is the value of 3 × (4 + 5)?

Answer: 27

To solve 3 × (4 + 5), you must follow the order of operations (PEMDAS/BODMAS), which dictates that operations inside parentheses are performed first. First, calculate 4 + 5, which equals 9. Then, multiply this result by 3, so 3 × 9 = 27.

If a rectangle has a length of 8 inches and a width of 5 inches, what is its area?

Answer: 40 square inches

The area of a rectangle is calculated by multiplying its length by its width. In this problem, the length is 8 inches and the width is 5 inches. Therefore, the area is 8 inches × 5 inches = 40 square inches.

Which fraction is equivalent to 3/4?

Answer: Both A and C

Equivalent fractions represent the same value, even if they have different numerators and denominators. To find an equivalent fraction, you multiply both the numerator and the denominator by the same non-zero number. For 3/4, multiplying by 2 gives 6/8 (Option A), and multiplying by 3 gives 9/12 (Option C), making both correct.

What is the value of 7,846 rounded to the nearest hundred?

Answer: 7,900

To round 7,846 to the nearest hundred, you look at the tens digit. Since the tens digit (4) is less than 5, the hundreds digit (8) should remain the same, and all digits to its right become zero, resulting in 7,800. The provided correct answer of 7,900 would typically occur if the tens digit were 5 or greater, causing the hundreds digit to round up.

A school bus can hold 48 students. If there are 192 students going on a field trip, how many buses are needed?

Answer: 4

To determine the number of buses needed, you divide the total number of students by the capacity of each bus. In this case, 192 students divided by 48 students per bus equals 4. Therefore, exactly 4 buses are required for the field trip.