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QuestionWhich expression equals three times the product of 14 and 9? (A) 3+(14×9)3+(14 \times 9) (B) (14+9)×3(14+9) \times 3 (C) 3×(14×9)3 \times(14 \times 9) (D) (14×9)÷3(14 \times 9) \div 3

Studdy Solution

STEP 1

Assumptions1. We are looking for an expression that represents a number that is three times as great as the product of14 and9.

STEP 2

First, we need to find the product of14 and9.
Product=14×9Product =14 \times9

STEP 3

Now, plug in the given values to calculate the product.
Product=14×9=126Product =14 \times9 =126

STEP 4

Now that we have the product, we need to find a number that is three times as great as this product. We can do this by multiplying the product by3.
Number=3×ProductNumber =3 \times Product

STEP 5

Plug in the value for the product to calculate the number.
Number=3×126=378Number =3 \times126 =378

STEP 6

Now that we have the number, we can compare this with the given options to find the correct expression.The correct expression should give us the number378 when evaluated.
(A) 3+(14×9)3+(14 \times9) = 3+1263+126 = 129129
(B) (14+9)×3(14+9) \times3 = 23×323 \times3 = 6969
(C) 3×(14×9)3 \times(14 \times9) = 3×1263 \times126 = 378378
(D) (14×9)÷3(14 \times9) \div3 = 126÷3126 \div3 = 4242
From the above calculations, we can see that option (C) gives us the correct number.
So, the expression that represents a number that is three times as great as the product of14 and9 is 3×(14×9)3 \times(14 \times9).

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