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Chapter 10: Problem 36

Divide. $$ \frac{-1.7}{20} $$

Short Answer

Expert verified
-0.085

Step by step solution

01

Identify the dividend and the divisor

The given problem is to divide \(\frac{-1.7}{20}\). Here, the dividend is \(-1.7\) and the divisor is \(20\).
02

Perform the division

Divide \(-1.7\) by \(20\). Since we are dividing a negative number by a positive number, the result will be negative. \(-1.7 \div 20 = \-0.085\)
03

Write the solution

The result of the division \(\frac{-1.7}{20}\) is \-0.085\.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Negative Numbers
Understanding how to work with negative numbers is very important. Negative numbers are numbers that are less than zero. They are on the left side of zero on the number line. When you divide a negative number by a positive number, the result is always negative. This is the same when multiplying a negative by a positive number. Remember, like signs (both positive or both negative) result in a positive, and unlike signs (one positive and one negative) result in a negative.
Dividing Decimals
Dividing decimals can be tricky, but with some practice, it becomes straightforward. To divide decimals, you can follow these steps:
1. Ignore the decimal points and divide the numbers as if they were whole numbers.
2. Count how many decimal places there are in the divisor and the dividend.
3. Place the decimal point in the quotient by moving it to the left by the combined number of decimal places in the divisor and dividend.
For example, if you are dividing \(-1.7 \div 20\), you treat it as \(-17 \div 200\).
Basic Arithmetic Operations
The four basic arithmetic operations are addition, subtraction, multiplication, and division. Each operation has its own rules.
When dealing with division:
  • Division is essentially the process of determining how many times one number is contained within another.
  • It is the opposite of multiplication.
  • When dividing, if the divisor and dividend are both positive, the result is positive.
  • If one is negative and the other is positive, the result is negative.
  • Finally, if both are negative, the result is positive.
These rules help you understand how to handle numbers in different scenarios.

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