정수와 유리수 연습문제 — OpenStax Prealgebra · 4.5절 · 17번

OpenStax Prealgebra · 4.5절 · 17번우리말 번역

$x=\frac{1}{4}$ 이고 $y=-\frac{2}{3}$ 일 때, $2{x}^{2}y$ 의 값을 구하세요.

영어 원문 보기

Evaluate $2{x}^{2}y$ when $x=\frac{1}{4}$ and $y=-\frac{2}{3}.$

정답·풀이 보기

값을 식에 대입한다. $2{x}^{2}y$ 에서 지수는 $x$ 에만 적용된다.

원본 교재 풀이(영어)

Substitute the values into the expression. In $2{x}^{2}y,$ the exponent applies only to $x.$



	$The image displays the mathematical expression 2(1/4)^2(-2/3), showing a multiplication of a whole number, a fraction squared, and a negative fraction. The numbers 1/4 are red, and -2/3 are blue.$
Simplify exponents first.	$A mathematical expression showing the product of three terms: 2, the fraction 1/16, and the negative fraction -2/3. The terms are enclosed in parentheses, indicating multiplication.$
Multiply. The product will be negative.	$A mathematical expression showing the multiplication of three fractions: negative two over one, one over sixteen, and two over three.$
Simplify.	$A mathematical expression showing the fraction -4/48, presented in black text on a white background. The negative sign precedes the fraction bar, with '4' as the numerator and '48' as the denominator.$
Remove the common factors.	$A mathematical expression showing a fraction with a negative sign, where the common factor '4' in the numerator and denominator has been crossed out as part of simplification, resulting in -(14)/(412).$
Simplify.	$A mathematical expression displaying the fraction minus 1 over 12, written as -1/12.$

한 번 더 — 비슷한 문제OpenStax Elementary Algebra · 1.4절 · 27번우리말 번역

다음을 식으로 나타내고 간단히 하세요. ⓐ 14와 $-23$ 의 차 ⓑ $-17$ 에서 21을 뺀 것

답 쓰고 채점

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다 풀었으면 정답 확인

ⓐ $14-(-23);37$ ⓑ $-17-21;-38$