35 over 16 as a decimal rounded to the nearest tenth?
The Correct Answer and Explanation is :
To convert the fraction 35/16 to a decimal and round it to the nearest tenth, follow these steps:
- Perform the division: Divide 35 by 16. ( 35 \div 16 = 2.1875 )
- Round to the nearest tenth: Look at the digit in the hundredths place (second decimal place). In the result, 2.1875, the digit in the hundredths place is 8. Since 8 is greater than or equal to 5, we round up the digit in the tenths place (which is 1) by 1. So, rounding 2.1875 to the nearest tenth gives 2.2.
Explanation:
Converting a fraction to a decimal involves division. The numerator (35) is divided by the denominator (16) to find the decimal form. Here’s how division works for this case:
- Step 1: Set up the division of 35 by 16. When you divide, you get an initial quotient of 2 (since 16 goes into 35 two times). Now, subtract 32 (16 × 2) from 35 to get a remainder of 3.
- Step 2: Bring down a 0 (from the tenths place) and divide 30 by 16, which gives 1 (16 × 1 = 16). Subtract 16 from 30 to get a remainder of 14.
- Step 3: Bring down another 0, dividing 140 by 16, which gives 8 (16 × 8 = 128). Subtract 128 from 140 to get a remainder of 12.
- Step 4: Bring down another 0, dividing 120 by 16, which gives 7 (16 × 7 = 112). Subtract 112 from 120 to get a remainder of 8.
- Step 5: Bring down another 0, dividing 80 by 16, which gives 5 (16 × 5 = 80). Now, there’s no remainder, and the decimal terminates at 2.1875.
The result of 2.1875, when rounded to the nearest tenth, is 2.2.