Math / Numbers & Operations

QuestionAdd. $34.231+45.230$ 38.754 79.434 79.461 79.462

Studdy Solution

STEP 1

1. The problem requires adding two decimal numbers: $34.231$ and $45.230$ .
2. The addition of decimal numbers follows the same rules as the addition of whole numbers, but with careful alignment of the decimal points.
3. The goal is to find the sum and match it to one of the provided options.

STEP 2

1. Align the decimal points of the two numbers.
2. Add the numbers digit by digit from right to left.
3. Combine the digits to form the final sum.
4. Check the final sum against the provided options to identify the correct answer.

STEP 3

Align the decimal points of $34.231$ and $45.230$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \end{array}$

STEP 4

Add the digits in the thousandths place: $1 + 0 = 1$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \hline \phantom{00}0.001 \\ \end{array}$

STEP 5

Add the digits in the hundredths place: $3 + 3 = 6$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \hline \phantom{00}0.061 \\ \end{array}$

STEP 6

Add the digits in the tenths place: $2 + 2 = 4$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \hline \phantom{00}0.461 \\ \end{array}$

STEP 7

Add the digits in the units place: $4 + 5 = 9$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \hline \phantom{00}9.461 \\ \end{array}$

STEP 8

Add the digits in the tens place: $3 + 4 = 7$ .
$\begin{array}{r} 34.231 \\ + 45.230 \\ \hline 79.461 \\ \end{array}$

STEP 9

Combine the digits to form the final sum: $79.461$ .
$79.461$

STEP 10

Compare the final sum $79.461$ with the provided options: $38.754$ , $79.434$ , $79.461$ , $79.462$ .
The correct option is $79.461$ .

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