Solve 9x = 0.9; x = ?

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Prepare for the GMAS 6th Grade Mathematics Test with guided quizzes. Study using flashcards and multiple-choice questions with detailed hints. Succeed in your math exam!

Multiple Choice

Solve 9x = 0.9; x = ?

Explanation:
Undoing the multiplication by 9 shows the way forward. If 9x equals 0.9, divide both sides by 9 to isolate x. So x = 0.9 ÷ 9. Since 9 × 0.1 = 0.9, the quotient is 0.1. Another check: 0.9 is the same as 9/10, and (9/10) ÷ 9 = 1/10 = 0.1, confirming the result. The other values don’t give 0.9 when multiplied by 9: 9 × 0.01 = 0.09, 9 × 0.05 = 0.45, and 9 × 1 = 9.

Undoing the multiplication by 9 shows the way forward. If 9x equals 0.9, divide both sides by 9 to isolate x. So x = 0.9 ÷ 9. Since 9 × 0.1 = 0.9, the quotient is 0.1. Another check: 0.9 is the same as 9/10, and (9/10) ÷ 9 = 1/10 = 0.1, confirming the result. The other values don’t give 0.9 when multiplied by 9: 9 × 0.01 = 0.09, 9 × 0.05 = 0.45, and 9 × 1 = 9.

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