Solved on Feb 21, 2024

Simplify the expression $2.5 \times 1.29$ .

STEP 1

Assumptions
1. We are performing a multiplication operation between two decimal numbers.
2. The numbers to be multiplied are 2.5 and 1.29.

STEP 2

To multiply two decimal numbers, we align the numbers vertically and multiply them as if they were whole numbers, ignoring the decimal point for the moment.
$\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \end{align}$

STEP 3

We start by multiplying the rightmost digit of the bottom number (9) by each digit of the top number, moving from right to left.
\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \cline{1-2} &\phantom{0}225 \quad \text{(This is $9 \times 2.5$, written one place to the left)} \\ \end{align}

STEP 4

Next, we multiply the middle digit of the bottom number (2) by each digit of the top number, moving from right to left. Since this digit is in the tenths place, we start one place to the right.
\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \cline{1-2} &\phantom{0}225 \\ &+50 \quad \text{(This is $2 \times 2.5$, written two places to the right)} \\ \end{align}

STEP 5

Now, we multiply the leftmost digit of the bottom number (1) by each digit of the top number, moving from right to left. Since this digit is in the ones place, we start at the beginning.
\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \cline{1-2} &\phantom{0}225 \\ &+50 \\ &250 \quad \text{(This is $1 \times 2.5$)} \\ \end{align}

STEP 6

We add up the three products we have calculated.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3225 \\ \end{align}

STEP 7

Now we need to place the decimal point in the correct position. The total number of decimal places in the numbers we multiplied is 3 (one in 2.5 and two in 1.29).
\begin{align} &\phantom{0.}225 \\ &+0.50 \\ &2.50 \\ \cline{1-2} &3.225 \\ \end{align}

STEP 8

We place the decimal point in the product so that there are three digits to the right of the decimal point.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3.225 \\ \end{align}
The result of the multiplication is $3.225$ .

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Simplify the expression $2.5 \times 1.29$ .

STEP 1

Assumptions
1. We are performing a multiplication operation between two decimal numbers.
2. The numbers to be multiplied are 2.5 and 1.29.

STEP 2

To multiply two decimal numbers, we align the numbers vertically and multiply them as if they were whole numbers, ignoring the decimal point for the moment.
$\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \end{align}$

STEP 3

We start by multiplying the rightmost digit of the bottom number (9) by each digit of the top number, moving from right to left.
\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \cline{1-2} &\phantom{0}225 \quad \text{(This is $9 \times 2.5$, written one place to the left)} \\ \end{align}

STEP 4

STEP 5

STEP 6

We add up the three products we have calculated.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3225 \\ \end{align}

STEP 7

Now we need to place the decimal point in the correct position. The total number of decimal places in the numbers we multiplied is 3 (one in 2.5 and two in 1.29).
\begin{align} &\phantom{0.}225 \\ &+0.50 \\ &2.50 \\ \cline{1-2} &3.225 \\ \end{align}

STEP 8

We place the decimal point in the product so that there are three digits to the right of the decimal point.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3.225 \\ \end{align}
The result of the multiplication is $3.225$ .

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Simplify the expression 2.5×1.292.5 \times 1.292.5×1.29.

STEP 1

Assumptions1. We are performing a multiplication operation between two decimal numbers.2. The numbers to be multiplied are 2.5 and 1.29.

STEP 2

To multiply two decimal numbers, we align the numbers vertically and multiply them as if they were whole numbers, ignoring the decimal point for the moment.02.5×01.29 \begin{align*} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \end{align*} ×​02.501.29​

STEP 3

STEP 4

STEP 5

STEP 6

We add up the three products we have calculated. \begin{align*} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3225 \\ \end{align*}

STEP 7

Now we need to place the decimal point in the correct position. The total number of decimal places in the numbers we multiplied is 3 (one in 2.5 and two in 1.29). \begin{align*} &\phantom{0.}225 \\ &+0.50 \\ &2.50 \\ \cline{1-2} &3.225 \\ \end{align*}

STEP 8

We place the decimal point in the product so that there are three digits to the right of the decimal point. \begin{align*} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3.225 \\ \end{align*} The result of the multiplication is 3.2253.2253.225.

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

Simplify the expression $2.5 \times 1.29$ .

Assumptions
1. We are performing a multiplication operation between two decimal numbers.
2. The numbers to be multiplied are 2.5 and 1.29.

To multiply two decimal numbers, we align the numbers vertically and multiply them as if they were whole numbers, ignoring the decimal point for the moment.
$\begin{align} &\phantom{0}2.5 \\ \times &\phantom{0}1.29 \\ \end{align}$

We add up the three products we have calculated.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3225 \\ \end{align}

Now we need to place the decimal point in the correct position. The total number of decimal places in the numbers we multiplied is 3 (one in 2.5 and two in 1.29).
\begin{align} &\phantom{0.}225 \\ &+0.50 \\ &2.50 \\ \cline{1-2} &3.225 \\ \end{align}

We place the decimal point in the product so that there are three digits to the right of the decimal point.
\begin{align} &\phantom{0}225 \\ &+50 \\ &250 \\ \cline{1-2} &3.225 \\ \end{align}
The result of the multiplication is $3.225$ .