Multiply by 10 and 100 - Arithmetic Step by Step

Multiply 6 by 10 and then by 100. Instead of repeated addition, notice the shortcut: multiplying by 10 appends one zero, and multiplying by 100 appends two zeros.

multiply-by-powers-of-ten Multiplying a whole number by 10 shifts every digit one place to the left, which is the same as writing a 0 at the end. Multiplying by 100 shifts two places, writing 00 at the end.

Example

Multiply 6 by 10 and by 100. Multiplying by a power of ten shifts every digit into a higher place value, which is why zeros appear to be appended. Each factor of ten moves the whole number one column to the left, so multiplying by ten adds one zero and by a hundred adds two, without changing the leading digits.

highlighted = computed this step

Step 1 — Set up

Start with the two facts.

6\times 10,\quad 6\times 100

Step 2 — Multiply by 10

6 x 10: append 0 to get 60.

6\times 10=\hl{60}

Step 3 — Multiply by 100

6 x 100: append 00 to get 600.

6\times 100=\hl{600}

Step 4 — Result

Read both products: 60 and 600.

60,\quad 600