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Which expression has a value of 20?

Responses

9 + 21 ÷ (3 + 2) × 5
9 plus 21 divided by left parenthesis 3 plus 2 right parenthesis times 5

(9 + 21) ÷ 3 + 2 × 5
left parenthesis 9 plus 21 right parenthesis divided by 3 plus 2 times 5

9 + 21 ÷ (3 + 2 × 5)
9 plus 21 divided by left parenthesis 3 plus 2 times 5 right parenthesis

9 + (21 ÷ 3 + 2) × 5

1 answer

Let's evaluate each expression to find out which one has a value of 20.

  1. Expression: \( 9 + 21 ÷ (3 + 2) × 5 \)

    • Calculate inside the parentheses: \( 3 + 2 = 5 \)
    • Substitute: \( 9 + 21 ÷ 5 × 5 \)
    • Next, compute \( 21 ÷ 5 = 4.2 \)
    • Substitute: \( 9 + 4.2 × 5 \)
    • Calculate: \( 4.2 × 5 = 21 \)
    • Finally: \( 9 + 21 = 30 \)

  2. Expression: \( (9 + 21) ÷ 3 + 2 × 5 \)

    • Calculate inside the parentheses: \( 9 + 21 = 30 \)
    • Substitute: \( 30 ÷ 3 + 2 × 5 \)
    • Next, calculate \( 30 ÷ 3 = 10 \)
    • Then calculate \( 2 × 5 = 10 \)
    • Finally: \( 10 + 10 = 20 \)

  3. Expression: \( 9 + 21 ÷ (3 + 2 × 5) \)

    • Calculate inside the parentheses: \( 2 × 5 = 10 \)
    • Substitute: \( 9 + 21 ÷ (3 + 10) \)
    • Calculate: \( 3 + 10 = 13 \)
    • Substitute: \( 9 + 21 ÷ 13 \)
    • Next, compute \( 21 ÷ 13 \approx 1.615 \)
    • Finally: \( 9 + 1.615 \approx 10.615 \)

  4. Expression: \( 9 + (21 ÷ 3 + 2) × 5 \)

    • Calculate \( 21 ÷ 3 = 7 \)
    • Substitute: \( 9 + (7 + 2) × 5 \)
    • Calculate inside the parentheses: \( 7 + 2 = 9 \)
    • Substitute: \( 9 + 9 × 5 \)
    • Calculate \( 9 × 5 = 45 \)
    • Finally: \( 9 + 45 = 54 \)

After evaluating all the expressions, the only one that has a value of 20 is:

(9 + 21) ÷ 3 + 2 × 5