Question

A)Estimate 49% of 162. b) Use mental math to calculate 49% of 162. plz help i need to know fast

Answer 1

Answer:

(a)

Given expression: 49% of 162

we can write 49% as $\frac{49}{100}$

then;

$\frac{49}{100} \times 162 = \frac{49 \times 162}{100} = \frac{7938}{100}=79.38$

Therefore, the estimate of the given expression is, 79.38.

(b)

Using mental math to calculate 49% of 162.

Mental math is used as a way to calculate an estimate quickly.

We can write 49% = 50% -1%

(50%-1%) of 162 = 50% of 162 -1% of 162

so,

50% of 162 = $\frac{50}{100} \times 162 = \frac{1}{2} \times 162 = 81$

and

1% of 162 = $\frac{1}{100} \times 162 = \frac{162}{100} = 1.62$

Now, subtract these we get;

81 - 1.62 = 79.38

Therefore, by using mental math 49% of 162 is, 79.38