Solve the following:
Solve the following:
\( \frac{69.5}{10}= \)
Solve the following:
\( \frac{99.9}{33.3}= \)
Solve the following:
\( \frac{97.2}{48.6}= \)
\( \frac{6}{0.75}-2\times3= \)
Solve the following:
\( \frac{2.4}{5.1}= \)
Solve the following:
To solve this problem, we'll follow these steps:
Step 1: Understand the rule of division by 10
Step 2: Calculate by shifting the decimal point to the left
Now, let's work through each step:
Step 1: When dividing a number by 10, we shift the decimal point one position to the left.
Step 2: In the given fraction , we move the decimal point in 69.5 one place to the left, resulting in 6.95.
Therefore, the solution to the problem is , which corresponds to choice 2.
Solve the following:
To solve the problem , we will simplify it by transforming each decimal into a whole number to make calculation straightforward.
Therefore, the solution to the problem is .
Solve the following:
To solve the division , we will simplify by removing the decimals:
By performing the division directly, we note that:
Therefore, the solution to the problem is .
To solve the expression , we need to carefully follow the order of operations. The order of operations is often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here, there are no parentheses or exponents, so we focus on multiplication, division, subtraction in the given order.
By carefully following the order of operations, the final answer to the expression is , which matches the correct answer provided.
Solve the following:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Convert the decimals to fractions.
For the decimal 2.4, notice it is equal to 24 divided by 10, so it can be written as the fraction .
For the decimal 5.1, it is equal to 51 divided by 10, so it can be written as the fraction .
Step 2: Divide the fractions by multiplying by the reciprocal.
We have the division: .
Instead of dividing, we multiply by the reciprocal: .
When multiplying, we multiply the numerators and the denominators:
.
Step 3: Simplify the resulting fraction.
Both 240 and 510 are divisible by 30:
.
Thus, the fraction simplifies to .
Therefore, the solution to the problem is .
Solve the following:
\( \frac{11.3}{3.8}= \)
Solve the following:
To solve the problem , follow these steps:
Step 1: Convert 11.3 and 3.8 to fractions:
since the decimal point signifies tenths place.
Step 2: Use the rule for fraction division, which is to multiply by the reciprocal:
.
Step 3: Simplify by performing the division:
113 divided by 38 gives a quotient of 2 and a remainder of 37.
Thus, .
Therefore, the division of results in .
Therefore, the solution to is , which matches the second choice provided.