Aligning decimal places: Align the numbers by their decimal places. When adding numbers with decimals, it's important to align the decimal points to ensure that the digits are in the correct place value positions. 37.279 + 5.4Adding numbers from right to left: Add the numbers starting from the rightmost digit. We start adding from the rightmost digit, which is the thousandths place in this case. If there is no digit in a place value for one of the numbers, we can assume it is zero. 37.279 + 5.400 --------- We add the numbers column by column: 9 (thousandths place) 7 (hundredths place) 2 (tenths place) 7 (ones place) 3 (tens place)Performing the addition: Perform the addition. Starting from the right, we add: 9 (thousandths place) 7 (hundredths place) 2 + 4 = 6 (tenths place) 7 + 0 = 7 (ones place) 3 + 0 = 3 (tens place) So we get: 37.279 + 5.400 --------- 42.679

Algebra 1

Powers with integer bases

Full solution

37.279+5.4=

Aligning decimal places: Align the numbers by their decimal places. $\newline$ When adding numbers with decimals, it's important to align the decimal points to ensure that the digits are in the correct place value positions. $\newline$ $37.279$ $\newline$ $+ 5.4$
Adding numbers from right to left: Add the numbers starting from the rightmost digit. $\newline$ We start adding from the rightmost digit, which is the thousandths place in this case. If there is no digit in a place value for one of the numbers, we can assume it is zero. $\newline$ $37.279$ $\newline$ $+ 5.400$ $\newline$ $---------$ $\newline$ We add the numbers column by column: $\newline$ $9$ (thousandths place) $\newline$ $7$ (hundredths place) $\newline$ $2$ (tenths place) $\newline$ $7$ (ones place) $\newline$ $3$ (tens place)
Performing the addition: Perform the addition. $\newline$ Starting from the right, we add: $\newline$ $9$ (thousandths place) $\newline$ $7$ (hundredths place) $\newline$ $2 + 4 = 6$ (tenths place) $\newline$ $7 + 0 = 7$ (ones place) $\newline$ $3 + 0 = 3$ (tens place) $\newline$ So we get: $\newline$ \begin{align*} &\phantom{+}37.279 \ &+\ 5.400 \ &\underline{\phantom{+}42.679} \end{align*}