TRANSLATE THE SENTENCES TO EQUATION INVOLVING DECIMALS

To translate the sentences to equation, we have to know about what are phrases we use to translate it into mathematical symbol.

To solve equations, we should know about inverse operations.

• Inverse operation of addition is subtraction.
• Inverse operation of subtraction is addition.
• Inverse operation of multiplication is division.
• Inverse operation of division is multiplication.

In the following exercises, translate and solve.

Problem 1 :

The difference of n and 1.9 is 3.4.

Solution :

n – 1.9 = 3.4

n = 3.4 + 1.9

n = 5.3

Problem 2 :

The difference of n and 1.5 is 0.8.

Solution :

n – 1.5 = 0.8

n = 0.8 + 1.5

n = 2.3

Problem 3 :

The product of -6.2 and x is -4.96.

Solution :

-6.2 x = - 4.96

x = -4.96 / -6.2

x = 0.8

Problem 4 :

The product of -4.6 and x is -3.22.

Solution :

-4.6 x = - 3.22

x = -3.22 / -4.6

x = 0.7

Problem 5 :

The quotient of y and -1.7 is -5.

Solution :

y / -1.7 = -5

y = (-5) (-1.7)

y = 8.5

Problem 6 :

The quotient of z and -3.6 is 3.

Solution :

z / -3.6 = 3

z = 3 (-3.6)

z = - 10.8

Problem 7 :

The sum of n and -7.3 is 2.4.

Solution :

n + (-7.3) = 2.4

n – 7.3 = 2.4

n = 2.4 + 7.3

n = 9.7

Problem 8 :

The sum of n and -5.1 is 3.8.

Solution :

n + (-5.1) = 3.8

n – 5.1 = 3.8

n = 3.8 + 5.1

n = 8.9