Question

Question 1
Which expression is equivalent to 16 + 36, rewritten as the product of the greatest common factor and the sum of the remaining numbers?

Question 2
An equation shown: 30 + 12 = _____(5 + 2). What factor is missing from the equation?

Question 3
What is the value of the expression 100.4 ÷ 0.25?

Answer 1

Answer:

Question 1

The equivalent expression of 16 + 36 is 4 × (4 + 9)

Question 2

The factor missing in the given equation is 6

Question 3

The value of the expression 100.4 ÷ 0.25 is 401.6

Step-by-step explanation:

Question 1

The given expression is 16 + 36

Which can be written in the greatest common factor form as 4 × 4 + 9 × 4

Therefore, the greatest common factor = 4

The expression 16 + 36, can therefore be written as  4 × 4 + 9 × 4 = 4 × (4 + 9)

The equivalent expression of 16 + 36 is 4 × (4 + 9)

Question 2

The given equation is 30 + 12 = ___(5 + 2)

Finding the greatest common factor of the terms 30 and 12, we get;

30 + 12 = 6 × 5 + 6 × 2

Therefore, by factorizing, we get;5

30 + 12 = 6 × 5 + 6 × 2 = 6 × (5 + 2)

30 + 12 = 6 × (5 + 2)

Comparing the above equation to the given equation, we get;

30 + 12 = 6 × (5 + 2)

30 + 12 = ___(5 + 2)

Therefore;

6 × (5 + 2) = ___× (5 + 2)

Therefore,  the factor missing in the given equation is 6

Question 3

The given expression, 100.4 ÷ 0.25, can be expressed as follows;

(100 + 0.4)/0.25 = 100/0.25 + 0.4/0.25

Multiplying the expression by 100/100 gives;

100/100 × 100/0.25 + 100/100 × 0.4/0.25 = 10000/25 + 40/25

10000/25 + 40/25 = 400 + $1\frac{15}{25}$ = 400 + $1\frac{3}{5}$ =  $401\frac{3}{5}$ = 401.6

100.4 ÷ 0.25 = 401.6

The value of the expression 100.4 ÷ 0.25 is 401.6.