Question Find the best estimate of $-14 \frac{1}{9}\left(-2 \frac{9}{10}\right)$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to estimate the product of $-14 \frac{1}{9}$ and $- \frac{9}{10}$ . . We assume that the best estimate is the closest integer to the exact value.

STEP 2

First, we need to convert the mixed numbers to improper fractions. The formula to convert a mixed number to an improper fraction is $\text{Improper Fraction} = \text{Whole Number} \times \text{Denominator} + \text{umerator}$

STEP 3

Convert $-14 \frac{1}{9}$ to an improper fraction.
$-14 \frac{1}{9} = -14 \times9 +1 = -125$

STEP 4

Convert $-2 \frac{9}{10}$ to an improper fraction.
$-2 \frac{9}{10} = -2 \times10 +9 = -29$

STEP 5

Now, we multiply the two improper fractions.
$-125 \times -29$

STEP 6

Calculate the product.
$-125 \times -29 =3625$

STEP 7

Now, we compare the product with the given options. The closest integer to the product is42.
Therefore, the best estimate of $-14 \frac{1}{9}\left(-2 \frac{9}{10}\right)$ is42.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms