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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
1장, 문제 123

Multiply or divide as indicated. 1.62÷10

검증된 단계별 안내
1
Identify the operation: The problem asks to divide 1.62 by 10.
Write the division expression as a fraction: \(\frac{1.62}{10}\).
Recall that dividing by 10 is equivalent to moving the decimal point one place to the left in the numerator.
Move the decimal point in 1.62 one place to the left to rewrite the quotient.
Express the final answer as the decimal number obtained after moving the decimal point.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Division of Decimals

Dividing decimals involves determining how many times the divisor fits into the dividend. When dividing by a decimal, you can convert the divisor to a whole number by multiplying both the dividend and divisor by the same power of 10, simplifying the division process.
추천 영상:
10:18
Example 1

Division by Powers of 10

Dividing a number by 10, 100, 1000, etc., shifts the decimal point to the left by as many places as there are zeros. For example, dividing 1.62 by 10 moves the decimal one place left, resulting in 0.162.
추천 영상:
05:10
Higher Powers of i

Place Value and Decimal Point Movement

Understanding place value helps in correctly moving the decimal point during multiplication or division by powers of 10. Each shift to the left divides the number by 10, while each shift to the right multiplies it by 10.
추천 영상:
4:47
The Number e