Question

Which expression could be used to determine the reduction of -4 and 3 1/4

Answer 1

Answer:

The expression that could be used is (-4)(3) + (-4)($\frac{1}{4}$) ⇒ B

Step-by-step explanation:

Let us revise the distributive property:

The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers

• a(b + c) = ab + ac

We will use this rule to solve the question

∵ The product of -4 and 3$\frac{1}{4}$ = -4 × 3$\frac{1}{4}$

→ We can right 3$\frac{1}{4}$  as (3 + $\frac{1}{4}$ )

∵ 3$\frac{1}{4}$ = (3 + $\frac{1}{4}$ )

∴ -4 × 3$\frac{1}{4}$ = -4(3 + $\frac{1}{4}$ )

→ By using the rule above

∵ -4(3 + $\frac{1}{4}$ ) = (-4)(3) + (-4)($\frac{1}{4}$)

∴ -4 × 3$\frac{1}{4}$  = (-4)(3) + (-4)($\frac{1}{4}$)

∴ The expression that could be used is (-4)(3) + (-4)($\frac{1}{4}$)