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Chapter 5: Problem 55

Divide by the powers of 10. $$-98.02 \div 10$$

Short Answer

Expert verified
-9.802

Step by step solution

01

Understand the Division

When dividing a number by 10, move the decimal point one place to the left.
02

Apply the Division Rule

For the given problem \(-98.02 \div 10\), move the decimal point of -98.02 one place to the left. This results in -9.802.

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Key Concepts

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

Decimal Movement
Understanding decimal movement is crucial when dividing by powers of 10. When you divide a number by 10, you simply move the decimal point one place to the left.
For example, if you have the number 5.6 and you divide by 10, the result will be 0.56, as the decimal point shifts from after the 5 to before the 5.
Let's apply this to our original problem: \( -98.02 \div 10 \).
Moving the decimal one place to the left, we get \( -9.802 \).
Notice how simple just moving the decimal point makes the division by 10!
Basic Division
Understanding basic division is foundational in mathematics. Division is breaking a number into equal parts. For example, dividing 20 by 4 means finding how many times 4 fits into 20, resulting in 5.
When dividing by 10, it becomes easier since you're splitting into 10 equal parts, which correlates directly to moving the decimal point.
In our example, \( -98.02 \div 10 \), carefully move the decimal point left to get \( -9.802 \). Seeing this method strengthens your foundational knowledge of basic division, making it more intuitive.
Negative Numbers
Handling negative numbers in arithmetic operations is essential for accurate problem solving. A negative number is just like a positive number but with a minus sign. For example, \( -5 \) is the opposite of \( +5 \).
When dividing by powers of 10, the process remains the same whether the number is positive or negative.
In our exercise, we are dealing with \( -98.02 \). Because of the negative sign, the result after division will also be negative. So, \( -98.02 \div 10 = -9.802 \).
Remember, negative or positive鈥攎oving the decimal point follows the same rule when dividing by 10.

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