Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.
To convert 2/9 to a decimal using long division, follow the steps below:
1. Begin dividing 2 by 9:
0.2
2. Multiply the decimal obtained above (0.2) by 9 and subtract it from 2:
2 - (0.2 * 9) = 2 - 1.8 = 0.2
3. Bring down a 0 to the right of 0.2:
0.20
4. Multiply the decimal obtained (0.20) by 9:
0.20 * 9 = 1.8
5. Subtract 1.8 from 2:
2 - 1.8 = 0.2
6. Repeat steps 3-5 until the decimal part has the desired accuracy. In this case, we want to approximate to one decimal place, so we stop here.
Therefore, 2/9 can be approximated as 0.2 (to one decimal place).
Use long division to convert 7/11 to a decimal.(1 point)
Responses
7.11
7.11
≈1.571428
approximately equals 1.571428
63
63
≈0.63
The Assyrian rulers divided their empire into 70 smaller units of government called provinces. Then they assigned a governor to each province who reported directly to the Assyrian ruler. What was the goal of this technique?(1 point) Responses to encourage trade throughout the empire to encourage trade throughout the empire to keep powerful governors from competing for the throne to keep powerful governors from competing for the throne to keep control of distant lands to keep control of distant lands to allow provinces to become separate empires
How was Darius able to maintain control of such a large empire?(1 point)
Responses
He forced provinces to pay tributes they were unable to afford.
He forced provinces to pay tributes they were unable to afford.
He gave local rulers some control over their government.
He gave local rulers some control over their government.
He established a different currency for each of the provinces.
He established a different currency for each of the provinces.
He adopted a monotheistic religion.
To convert 2/9 to a decimal using long division, follow these steps:
1. Divide the numerator (2) by the denominator (9): 2 ÷ 9 = 0.
Write 0 as the whole number part of the quotient.
2. Place a decimal point after the 0 in the quotient: 0.
3. Multiply the remainder (2) by 10: 2 × 10 = 20.
4. Divide the new numerator (20) by the denominator (9): 20 ÷ 9 = 2.
Write 2 as the next digit in the quotient, after the decimal point.
5. Multiply the new remainder (2) by 10: 2 × 10 = 20.
6. Divide the new numerator (20) by the denominator (9): 20 ÷ 9 = 2.
Write 2 as the next digit in the quotient, after the previous digit.
This process can be repeated as many times as needed to obtain the desired level of accuracy. However, as we have reached a recurring pattern of 2 in the decimal digits, we can conclude that 2/9 as a decimal is approximately 0.2 (rounded to one decimal place).
To convert a fraction to a decimal using long division, you follow these steps:
1. Write the fraction as a division problem: Place the numerator (2 in this case) inside the division bracket and the denominator (9 in this case) outside the bracket as the divisor.
```
0.
_________
9 | 2
```
2. Divide the numerator by the denominator: In this case, 2 divided by 9 equals 0.2222... (the decimal part repeats infinitely).
```
0.2
_________
9 | 2
```
3. Multiply both the numerator and denominator by 10 to shift the decimal point one place to the right: This step is necessary since we want the approximation to have one decimal place.
```
0.2
_________
9 | 20
```
4. Divide the new numerator by the denominator: In this case, 20 divided by 9 equals 2.2222...
```
0.2
_________
9 | 20
-18
2
```
The remainder after subtracting is 2.
5. Write down this result after the decimal point: The answer so far is 0.2, so we write down the digit 2 after the decimal point.
```
0.2
_________
9 | 20
-18
2
```
Therefore, the decimal approximation to 2/9 with one decimal place is 0.2.