Use long division to convert 13/20 to a decimal.(1 point)
To convert 13/20 to a decimal using long division, follow these steps:
1. Set up the division: Write down 13 as the numerator under a long division symbol, and 20 as the denominator outside of the division symbol.
0.65
_______
20 ) 13
2. Divide: Start dividing 20 into 13.
- How many times does 20 go into 13? Since 20 is larger than 13, the answer is 0. Write this answer above the long division symbol.
0.65
_______
20 ) 13
3. Multiply: Multiply the answer (0) by the divisor (20) and write the result below the 13.
0.65
_______
20 ) 13
0
4. Subtract: Subtract the result from the previous step (0) from the 13.
0.65
_______
20 ) 13
-0
------
13
5. Bring down: Bring down the next digit from the original numerator.
0.65
_______
20 ) 13
-0
------
13
0
6. Repeat steps 2-5: Divide, multiply, subtract, and bring down until there are no more digits to bring down.
0.65
_______
20 ) 13
-0
------
13
0
--
130
120
---
100
7. Continue repeating steps 2-5 until the division comes to an end, or until you decide to stop.
0.65
_______
20 ) 13
-0
-----
13
0
---
130
120
----
100
80
----
200
Since the remainder is 0 and there are no more digits to bring down, the division ends.
The quotient is 0.65.
So, 13/20 as a decimal is 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
≈
To convert 2/9 to a decimal using long division:
1. Set up the division: Write down 2 as the numerator under a long division symbol, and 9 as the denominator outside of the division symbol.
0.2
_______
9 ) 2
2. Divide: Start dividing 9 into 2.
- How many times does 9 go into 2? Since 9 is larger than 2, the answer is 0. Write this answer above the long division symbol.
0.2
_______
9 ) 2
3. Multiply: Multiply the answer (0) by the divisor (9) and write the result below the 2.
0.2
_______
9 ) 2
0
4. Subtract: Subtract the result from the previous step (0) from the 2.
0.2
_______
9 ) 2
-0
------
2
5. Bring down: Bring down a zero after the remainder.
0.2
_______
9 ) 2
-0
------
2
0
6. Repeat steps 2-5: Divide, multiply, subtract, and bring down until there are no more digits to bring down.
0.2
_______
9 ) 2
-0
------
2
0
-
20
18
--
20
18
--
20
18
--
20
18
--
20
Since we keep getting the same remainder (20), the division will continue indefinitely.
Here, we can see that the remainder (20) repeats. This indicates that the decimal representation of 2/9 is a repeating decimal.
Therefore, 2/9 as a decimal is approximately 0.2, with the 2 repeating indefinitely: 0.2¯¯¯.
On the first day of a road trip, Roberto traveled 213 miles from home. On the second day, he drove 149 miles farther. How many miles from home is Roberto at the end of his second day?
*
1 point
362 miles
213 miles
149 miles
63 miles
To find out how far Roberto is from home at the end of his second day, we need to add the distance he traveled on the second day (149 miles) to the distance he traveled on the first day (213 miles).
213 miles + 149 miles = 362 miles
Therefore, Roberto is 362 miles from home at the end of his second day.
For the middle school dance, the student council ordered 18 balloons printed with the school logo. On the night of the party, 4 of the balloons popped. Which problem below represents this scenario using the additive inverse?
*
1 point
-18+4
-18 - 4
18 - (-4)
18 + (-4)
The problem that represents this scenario using the additive inverse is:
18 - 4
By subtracting the number of popped balloons (4) from the total number of balloons ordered (18), we can find the number of balloons remaining after 4 balloons popped.
Ally's hotel room is on the 12th floor. She parked her car in the underground parking garage 4 floors below ground level. How many floors did Ally travel in the elevator to get from her car up to her room?
*
1 point
-8 floors
16 floors
8 floors
-16 floors
To find out how many floors Ally traveled in the elevator to get from her car up to her room, we need to add the number of floors she traveled down to the garage (-4 floors) to the number of floors she traveled up to her room (12 floors).
-4 floors + 12 floors = 8 floors
Therefore, Ally traveled 8 floors in the elevator to get from her car up to her room.
Lynn had overdrawn her checking account 3 days in a row after the balance reached $0. Each day she took out $15 without realizing what had happened. Which of the following would appear on a bank statement representing the amount currently in her account since she spent more than she had?
*
1 point
-$5.00
-$18.00
-$45.00
-$12.00