Solve Vertical Addition: 1547 + 7656 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider combining 2 digits, and then we place

00:06 Let's start by multiplying ones with ones

00:09 Place the ones, add 1 to the tens

00:13 Multiply tens with tens, remember to add 1 to the calculation

00:17 Place tens in tens, add 1 to hundreds

00:22 Multiply hundreds with hundreds, remember to add 1

00:27 Place hundreds in hundreds, and add 1 to thousands

00:34 Multiply thousands with thousands, remember to add 1

00:37 Place in thousands

00:40 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem by completing an addition of the numbers vertically.

Write the numbers vertically, aligning them by their place values:
$\begin{array}{c@{}c@{}c@{}c@{}c} & 1 & 5 & 4 & 7 \\ + & & 7 & 6 & 5 & 6 \\ \end{array}$
Add the digits starting from the rightmost (units place):

Units Place: $7 + 6 = 13$ . Write 3 and carry over 1 to the tens place.
Tens Place: $4 + 5 = 9$ , plus 1 from the carry-over equals 10. Write 0 and carry over 1 to the hundreds place.
Hundreds Place: $5 + 6 = 11$ , plus 1 from the carry-over equals 12. Write 2 and carry over 1 to the thousands place.
Thousands Place: $1 + 7 = 8$ , plus 1 from the carry-over equals 9. Write 9.

The final addition gives us:
$\begin{array}{c} 9 \quad 2 \quad 0 \quad 3 \\ \end{array}$

Thus, the sum of 1547 and 7656 is $\boxed{9203}$ .