Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 15, 2023

Simplify the expression $4 \times 1 + 3 \times \frac{1}{10} + 9 \times \frac{1}{1,000}$ and enter the decimal form.

STEP 1

Assumptions1. The given expression is $4 \times1+3 \times \frac{1}{10}+9 \times \frac{1}{1,000}$ . We need to calculate the decimal form of the number represented by this expression.

STEP 2

First, we need to calculate the value of each term in the expression.For the first term, $4 \times1$ , we simply multiply4 by1.
$4 \times1 =4$

STEP 3

For the second term, $3 \times \frac{1}{10}$ , we multiply3 by0.1 (since $\frac{1}{10}$ is equivalent to0.1).
$3 \times \frac{1}{10} =3 \times0.1 =0.3$

STEP 4

For the third term, $9 \times \frac{1}{1,000}$ , we multiply9 by0.001 (since $\frac{1}{1,000}$ is equivalent to0.001).
$9 \times \frac{1}{1,000} =9 \times0.001 =0.009$

STEP 5

Now that we have the value of each term, we can add them together to find the decimal form of the number represented by the given expression.
$4 +0.3 +0.009 =4.309$ The decimal form of the number represented by the given expression is4.309.

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