Asked by Hummingbird 7th

Convert 6/32
to a decimal using long division.(1 point)
Responses

0.1875
0.1875

1.875
1.875

0.2
0.2

6.32
Answered by Hummingbird 7th
The decimal 0.037 can be written as which fraction?(1 point)
Responses

37/1000
37 over 1000

37/10
37 tenths

3.7/10
3 point 7 over 10

37/100
Answered by Hummingbird 7th
What is 0.32 expressed as a simplified fraction?(1 point)
Responses

8/25
8 over 25

32/100
32 over 100

16/100
16 over 100

16/5
Answered by Hummingbird 7th
Find the product.

(-2)(6)(-5)(-4)

(1 point)
Responses

-30
-30

-5
-5

240
240

-240
Answered by Hummingbird 7th
Find the product:

−6(−4/3)(10)
(1 point)
Responses

-45
-45

60
60

-120
-120

80
Answered by Hummingbird 7th
Each issue of a magazine costs $6.95 at the supermarket. A 6-month digital subscription costs $30.99. How much does a reader save by subscribing to the digital magazine for 6 months?(1 point)
Responses

10.71
10.71

1.79
1.79

41.70
41.70

24.04
Answered by GPT-4o mini
To convert \( \frac{6}{32} \) to a decimal using long division, follow these steps:

1. **Set up the division**: Divide 6 by 32. Since 6 is less than 32, we know the whole number part of the quotient is 0. So we'll proceed with decimal division.

2. **Add decimal point and zeros**: We write 6.000 as the dividend to perform long division.

3. **Start the division**:
- 32 goes into 60 (the first two digits of 6000) 1 time (because \( 32 \times 1 = 32 \)).
- Subtract \( 32 \) from \( 60 \): \( 60 - 32 = 28 \).
- Bring down the next 0 (making it 280).

4. **Continue with the division**:
- 32 goes into 280 8 times (because \( 32 \times 8 = 256 \)).
- Subtract \( 256 \) from \( 280 \): \( 280 - 256 = 24 \).
- Bring down the next 0 (making it 240).

5. **Continue with the division**:
- 32 goes into 240 7 times (because \( 32 \times 7 = 224 \)).
- Subtract \( 224 \) from \( 240 \): \( 240 - 224 = 16 \).
- Bring down the next 0 (making it 160).

6. **Continue with the division**:
- 32 goes into 160 5 times (because \( 32 \times 5 = 160 \)).
- Subtract \( 160 \) from \( 160 \): \( 160 - 160 = 0 \).

Now, we can combine the results from our long division:
- 1 from the first step,
- 8 from the second,
- 7 from the third,
- 5 from the last step.

Putting it all together, the decimal representation of \( \frac{6}{32} \) is \( 0.1875 \).

Therefore, the correct response is:

**0.1875**
Answered by GPT-4o mini
To convert the decimal \( 0.037 \) into a fraction, we can analyze it as follows:

1. The decimal \( 0.037 \) can be read as \( 37 \) in the thousandths place. This means that it can be expressed as \( \frac{37}{1000} \).

Thus, the correct response is:

**37/1000**
Answered by GPT-4o mini
To convert the decimal \( 0.32 \) into a fraction, we can follow these steps:

1. **Write it as a fraction**: Since \( 0.32 \) is in the hundredths place, we can express it as:
\[
0.32 = \frac{32}{100}
\]

2. **Simplify the fraction**: To simplify \( \frac{32}{100} \), we need to find the greatest common divisor (GCD) of 32 and 100. The GCD is 4.

3. **Divide both the numerator and the denominator by the GCD**:
\[
\frac{32 \div 4}{100 \div 4} = \frac{8}{25}
\]

Thus, the simplified fraction for \( 0.32 \) is:

**8/25**
Answered by GPT-4o mini
To find the product \((-2)(6)(-5)(-4)\), we can follow these steps:

1. **Multiply the first two numbers**:
\[
(-2) \times 6 = -12
\]

2. **Multiply the next number**:
\[
-12 \times (-5) = 60 \quad \text{(multiplying two negative numbers results in a positive number)}
\]

3. **Multiply the last number**:
\[
60 \times (-4) = -240
\]

Putting it all together, the product of \((-2)(6)(-5)(-4)\) is:

\(-240\)

Therefore, the correct response is:

**-240**
Answered by GPT-4o mini
To find the product \( -6 \left(-\frac{4}{3}\right)(10) \), we can follow these steps:

1. **Multiply the first two numbers**:
\[
-6 \times \left(-\frac{4}{3}\right) = \frac{24}{3} = 8 \quad \text{(because multiplying two negative numbers gives a positive result)}
\]

2. **Now multiply the result by 10**:
\[
8 \times 10 = 80
\]

Therefore, the product \( -6 \left(-\frac{4}{3}\right)(10) \) is:

**80**
Answered by GPT-4o mini
To determine how much a reader saves by subscribing to the digital magazine for 6 months, we first need to calculate the total cost of buying the magazine issues individually for 6 months.

1. **Calculate the cost of individual issues**:
\[
\text{Cost per issue} = 6.95
\]
\[
\text{Number of months} = 6
\]
\[
\text{Total cost for 6 months} = 6.95 \times 6 = 41.70
\]

2. **Compare with the cost of the digital subscription**:
\[
\text{Cost of digital subscription} = 30.99
\]

3. **Calculate the savings**:
\[
\text{Savings} = \text{Total cost for 6 months} - \text{Cost of digital subscription} = 41.70 - 30.99 = 10.71
\]

Thus, a reader saves **$10.71** by subscribing to the digital magazine for 6 months.

The correct response is:

**10.71**