Answer :
To find an expression equivalent to [tex]\(5.8 \div 1.15\)[/tex], we can remove the decimals by multiplying both the dividend and the divisor by the same power of 10, which allows us to work with whole numbers.
Here's how to do it step by step:
1. Identify the Decimal Places:
- The number 5.8 has one decimal place.
- The number 1.15 has two decimal places.
2. Determine the Power of 10:
- To eliminate all decimal places from both numbers, we need to multiply by the largest power of 10 present, which is [tex]\(10^2 = 100\)[/tex].
3. Multiply Both Numbers:
- Multiply 5.8 by 100 to get 580.
- Multiply 1.15 by 100 to get 115.
4. Write the New Expression:
- After multiplying, we have [tex]\(580 \div 115\)[/tex].
Therefore, the expression equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex]. This method maintains the ratio between the numbers and thus provides an equivalent expression with no decimals.
Here's how to do it step by step:
1. Identify the Decimal Places:
- The number 5.8 has one decimal place.
- The number 1.15 has two decimal places.
2. Determine the Power of 10:
- To eliminate all decimal places from both numbers, we need to multiply by the largest power of 10 present, which is [tex]\(10^2 = 100\)[/tex].
3. Multiply Both Numbers:
- Multiply 5.8 by 100 to get 580.
- Multiply 1.15 by 100 to get 115.
4. Write the New Expression:
- After multiplying, we have [tex]\(580 \div 115\)[/tex].
Therefore, the expression equivalent to [tex]\(5.8 \div 1.15\)[/tex] is [tex]\(580 \div 115\)[/tex]. This method maintains the ratio between the numbers and thus provides an equivalent expression with no decimals.
