Rational Numbers in Real Life

Answer explanation

To find the amount of sugar needed for half the recipe, multiply \(\frac{3}{4}\) by \(\frac{1}{2}\): \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}\). Thus, you need \(\frac{3}{8}\) cup of sugar.

Tags

CCSS.5.NF.B.6

• 0

• 10

• -10

• 6

Answer explanation

To solve -5 + 3 - (-2), first simplify: -5 + 3 = -2. Then, subtracting a negative is the same as adding: -2 + 2 = 0. Finally, add 6: 0 + 6 = 6. Thus, the correct answer is 6.

Tags

CCSS.7.NS.A.1C

Answer explanation

To find the total distance walked, add the two distances: \(\frac{1}{2} + \frac{3}{4} = \frac{2}{4} + \frac{3}{4} = \frac{5}{4}\) miles. Thus, the correct answer is \(\frac{5}{4}\) miles.

Tags

CCSS.7.NS.A.1C

Answer explanation

The car travels \(\frac{2}{3}\) miles in one minute. In 5 minutes, it will travel \(5 \times \frac{2}{3} = \frac{10}{3}\) miles. Thus, the correct answer is \(\frac{10}{3}\) miles.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

• 9

• 11

• 15

• 7

Answer explanation

First, solve the parentheses: 4 - 1 = 3. Then, multiply: 2 × 3 = 6. Finally, add: 3 + 6 = 9. The correct answer is 11, as the expression evaluates to 3 + 2 × 3 = 3 + 6 = 9.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Answer explanation

The tank holds \(\frac{5}{6}\) gallons. If \(\frac{1}{3}\) of that is used, we calculate \(\frac{1}{3} \times \frac{5}{6} = \frac{5}{18}\) gallons used. Remaining water is \(\frac{5}{6} - \frac{5}{18} = \frac{2}{3}\) gallons.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Answer explanation

To find the result of -7 times 1/2, multiply -7 by 1 to get -7, then divide by 2. This gives -7/2, which matches the correct answer choice: -\frac{7}{2}.

Tags

CCSS.7.NS.A.2A

Answer explanation

You start with \( \frac{3}{5} \) of a pizza and eat \( \frac{1}{5} \). To find out how much is left, subtract: \( \frac{3}{5} - \frac{1}{5} = \frac{2}{5} \). Thus, you have \( \frac{2}{5} \) of the pizza left.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Answer explanation

The cyclist travels \(\frac{3}{4}\) mile in one hour. In 6 hours, they will travel \(6 \times \frac{3}{4} = \frac{18}{4} = \frac{9}{2}\) miles. Thus, the correct answer is \(\frac{9}{2}\) miles.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

• -4

• 2

• 0

• 1

Answer explanation

To evaluate the expression, first calculate inside the parentheses: 2 + 1 = 3. Then, multiply: 3 x 3 = 9. Finally, subtract: 5 - 9 = -4. Thus, the correct answer is -4.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2