Question

Translate the words into a mathematical expression. Two-thirds of the sum of 122 and 98. 99 divided by 10, then multiplied by the sum of 84 and 3. Compare the two expressions. (10 + 5) and 10+53 (16 – 4) + 9 and (16 – 4)

Answer 1

1. The sum of 122 and 98 is (122+98)

Two-thirds of the sum of 122 and 98 is

$\dfrac{2}{3}\cdot (122+98).$

2.  99 divided by 10 is $\dfrac{99}{10}.$ The sum of 84 and 3 is (84+3).

99 divided by 10, then multiplied by the sum of 84 and 3 is

$\dfrac{99}{10}\cdot (84+3).$

3. (10+5)=15,

1=+53=63.

Since 15<63, then (10+5)<10+53.

4. (16-4)+9=12+9=21,

(16-4)=12.

Since 21>12, then (16-4)+9>(16-4).