/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 56 Divide by the powers of 10. $$... [FREE SOLUTION] | 91影视

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Chapter 5: Problem 56

Divide by the powers of 10. $$-11.033 \div 10$$

Short Answer

Expert verified
-1.1033

Step by step solution

01

Understanding Division by Powers of 10

When dividing a number by 10, the decimal point moves one place to the left. For example, dividing a number by 10 makes it 10 times smaller.
02

Perform the Division

To divide \(-11.033\) by 10, move the decimal point one place to the left. \(-11.033 \div 10 = -1.1033\).

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Key Concepts

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

Decimal Point Movement
When you divide a number by powers of 10, you perform an operation that shifts the decimal point. This is a crucial concept because it simplifies many calculations.

For example, to understand this, think of the number 10. Dividing by 10 is like asking how many times the number 10 fits into the original number. As a result, the decimal point moves one place to the left. This decreases the value of the number by a factor of 10.

For instance:
  • If you start with 50 and divide by 10, moving the decimal point one place to the left gives you 5.
  • Similarly, dividing 123.4 by 10 shifts the decimal point one spot to the left, resulting in 12.34.
Understanding this concept can make dividing numbers by 10, 100, 1000, and so forth a much easier and quicker process.
Dividing by 10
Dividing by 10 is a fundamental arithmetic operation and has a simple rule. When you divide a number by 10, it becomes 10 times smaller.

This operation directly translates into moving the decimal point one place to the left. Think of every whole number as having an invisible decimal point at the end. For instance, 45 can be written as 45.0.
  • If you divide 45 by 10, you move the decimal point one place left to get 4.5.
  • Similarly, if you have a smaller number like 3.67 and divide it by 10, moving the decimal point one place to the left results in 0.367.
This concept plays a crucial role in simplifying arithmetic operations and enhancing mental math skills.
Basic Arithmetic Operations
Grasping basic arithmetic operations sets the foundation for more complex math concepts. These operations include addition, subtraction, multiplication, and division.

Specifically, division is one of the core operations where you determine how many times a number (the divisor) fits into another number (the dividend). When the divisor is a power of 10, like 10, 100, or 1000, you can simplify the operation by moving the decimal point left.

For instance:
  • To divide 600 by 100, move the decimal point two places to the left to get 6.
  • For dividing 0.456 by 10, move the decimal point one place to the left resulting in 0.0456.
This technique reduces complexity and speeds up calculations, aiding quick problem-solving and efficient learning.

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