Find the product.

Question

−5(−10)(12)
(1 point)
Responses

120
120

-12000
-12000

600
600

-6000
-6000

-600

Answer 1

To find the product of \(-5(-10)(12)\), we can calculate it step by step:

1. First, multiply \(-5\) and \(-10\): \[ -5 \times -10 = 50 \]

2. Next, multiply the result by \(12\): \[ 50 \times 12 = 600 \]

Therefore, the product is \(600\).

The correct response is: 600

Answer 2

What is 3/8÷2
?(1 point)
Responses

1 1/3
1 and 1 third

3/16
3 over 16

5 1/3
5 and 1 third

1/4

Answer 3

To solve \( \frac{3}{8} \div 2 \), we can rewrite the division by a whole number as multiplication by a fraction:

\[ \frac{3}{8} \div 2 = \frac{3}{8} \times \frac{1}{2} \]

Next, we multiply the two fractions:

\[ \frac{3 \times 1}{8 \times 2} = \frac{3}{16} \]

Therefore, the result of \( \frac{3}{8} \div 2 \) is \( \frac{3}{16} \).

The correct response is: 3/16

Answer 4

What is 3/8÷2
?(1 point)
Responses

1 1/3
1 and 1 third

3/16
3 over 16

5 1/3
5 and 1 third

1/4
1 fourth

Answer 5

To solve \( \frac{3}{8} \div 2 \), we can convert the division by 2 into multiplication by its reciprocal:

\[ \frac{3}{8} \div 2 = \frac{3}{8} \times \frac{1}{2} \]

Now we multiply the fractions:

\[ \frac{3 \times 1}{8 \times 2} = \frac{3}{16} \]

So, \( \frac{3}{8} \div 2 \) equals \( \frac{3}{16} \).

The correct response is: 3/16

Answer 6

Multiply: −1/3⋅−5/8
(1 point)
Responses

−5/24
negative 5 over 24

5/24
5 over 24

8/15
8 over 15

−5/576

Answer 7

To multiply the fractions \( -\frac{1}{3} \) and \( -\frac{5}{8} \), we can follow these steps:

1. Multiply the numerators: \[ -1 \times -5 = 5 \]

2. Multiply the denominators: \[ 3 \times 8 = 24 \]

Putting it all together, we have: \[ -\frac{1}{3} \cdot -\frac{5}{8} = \frac{5}{24} \]

Since the negatives cancel out, the product is positive.

The correct response is: 5/24

Answer 8

Divide −3/17
by −2/3
(1 point)
Responses

9/34
9 over 34

2/17
2 over 17

−9/34
negative 9 over 34

−2/17

Answer 9

To divide \( -\frac{3}{17} \) by \( -\frac{2}{3} \), we can multiply \( -\frac{3}{17} \) by the reciprocal of \( -\frac{2}{3} \):

\[ -\frac{3}{17} \div -\frac{2}{3} = -\frac{3}{17} \times -\frac{3}{2} \]

Now, when multiplying:

1. Multiply the numerators: \[ -3 \times -3 = 9 \]

2. Multiply the denominators: \[ 17 \times 2 = 34 \]

Putting it together, we have:

\[ -\frac{3}{17} \div -\frac{2}{3} = \frac{9}{34} \]

The correct response is: 9/34

Answer 10

Divide −4/9
by 4/7
.(1 point)
Responses

−9/7
negative 9 sevenths

7/9
7 ninths

−16/63
negative 16 over 63

−7/9

Answer 11

To divide \( -\frac{4}{9} \) by \( \frac{4}{7} \), we can multiply \( -\frac{4}{9} \) by the reciprocal of \( \frac{4}{7} \):

\[ -\frac{4}{9} \div \frac{4}{7} = -\frac{4}{9} \times \frac{7}{4} \]

Now, multiply the fractions:

1. Multiply the numerators: \[ -4 \times 7 = -28 \]

2. Multiply the denominators: \[ 9 \times 4 = 36 \]

Putting it all together, we have:

\[ -\frac{4}{9} \div \frac{4}{7} = -\frac{28}{36} \]

Now, simplify \( -\frac{28}{36} \):

• The greatest common divisor of 28 and 36 is 4.

So, we can simplify: \[ -\frac{28 \div 4}{36 \div 4} = -\frac{7}{9} \]

The correct response is: −7/9