1. Convert
6
32
to a decimal using long division.(1 point)
0.2
6.32
0.1875
1.875
1. To convert 6 to a decimal using long division:
Step 1: Write 6 as the dividend and 10 as the divisor.
Step 2: Divide 6 by 10 to get 0 remainder 6.
Step 3: Bring down the next digit, which is 0.
Step 4: Divide 60 by 10 to get 6 remainder 0.
Step 5: Repeat steps 3 and 4 until there are no more digits to bring down.
Step 6: The final decimal is 0.6.
Therefore, the decimal form of 6 is 0.6.
2. To convert 32 to a decimal using long division:
Step 1: Write 32 as the dividend and 10 as the divisor.
Step 2: Divide 32 by 10 to get 3 remainder 2.
Step 3: Bring down the next digit, which is 0.
Step 4: Divide 20 by 10 to get 2 remainder 0.
Step 5: Repeat steps 3 and 4 until there are no more digits to bring down.
Step 6: The final decimal is 3.2.
Therefore, the decimal form of 32 is 3.2.
None of the provided answer options match the correct decimal forms obtained through long division for 6 and 32.
2. The decimal 0.037 can be written as which fraction?(1 point)
37
100
37
1000
37
10
3.7
10
To convert the decimal 0.037 into a fraction:
Step 1: Write down the decimal, placing the digits after the decimal point over a power of 10. In this case, the decimal has 3 decimal places, so we use 1000 as the denominator.
0.037 = 37/1000.
Therefore, the decimal 0.037 can be written as 37/1000.
3. What is 0.32 expressed as a simplified fraction?(1 point)
8
25
16
5
32
100
16
100
To convert the decimal 0.32 into a fraction:
Step 1: Write down the decimal, placing the digits after the decimal point over a power of 10. In this case, the decimal has 2 decimal places, so we use 100 as the denominator.
0.32 = 32/100.
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8.
32/100 ÷ 8/8 = 4/25.
Therefore, the decimal 0.32 can be expressed as the simplified fraction 4/25.
answer without explanation
0.32 can be expressed as the simplified fraction 8/25.
4. Find the product.
(-2)(6)(-5)(-4)
(1 point)
-5
240
-30
-240
The product of (-2)(6)(-5)(-4) is -240.
5. Find the product:
−6(
−4
3
)(10)
(1 point)
60
80
-120
-45