frac{1.49 times 14.9 - 0.51 times 5.1}{14.9 - | vedclass

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(B) Given expression: $\frac{1.49 	imes 14.9 - 0.51 	imes 5.1}{14.9 - 5.1}$Rewrite the terms to simplify:$14.9 = 1.49 	imes 10$ and $5.1 = 0.51 	i

Vedclass · Accepted Answer

$2.00$

Vedclass · Answer

(B) Given expression: $\frac{1.49 	imes 14.9 - 0.51 	imes 5.1}{14.9 - 5.1}$Rewrite the terms to simplify:$14.9 = 1.49 	imes 10$ and $5.1 = 0.51 	imes 10$Substitute these into the expression:$= \frac{1.49 	imes (1.49 	imes 10) - 0.51 	imes (0.51 	imes 10)}{14.9 - 5.1}$$= \frac{10 	imes (1.49^2 - 0.51^2)}{14.9 - 5.1}$Note that $14.9 - 5.1 = 9.8$ and $1.49 - 0.51 = 0.98$. Thus,$14.9 - 5.1 = 10 	imes (1.49 - 0.51)$.$= \frac{10 	imes (1.49 - 0.51)(1.49 + 0.51)}{10 	imes (1.49 - 0.51)}$$= 1.49 + 0.51 = 2.00$

$\frac{1.49 \times 14.9 - 0.51 \times 5.1}{14.9 - 5.1}$

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