How do you write 16107 in standard form?

Answer 1

This is how to convert a number into standard form:

1. Write the number with the decimal point after the first non-zero digit (without any leading or trailing zeros) followed by "x 10";
2. Count how many digits the decimal point has to "jump" to get back to its original position (if there was no decimal point, it was "hiding" after the last digit);
3. If the decimal point needs to move left, make it negative, otherwise leave it alone (as positive);
4. Write the number found in steps 3&4 as the power of the "10" added in step 1.

Examples:

• 123.456

1. 1.23456 x 10
2. 2 digits
3. to right, so leave alone
4. 1.23456 x 102

⇒ 123.456 = 1.23456 x 102

• 123000

1. 1.23 x 10
2. 5 digits (decimal point originally "hiding" after last '0')
3. to right, leave alone
4. 1.23 x 105

⇒ 123000 = 1.23 x 105

• 0.00123

1. 1.23 x 10
2. 3 digits
3. to left, so make negative (3 → -3)
4. 1.23 x 10-3

⇒ 0.00123 = 1.23 x 10-3

That's how to do it, this is it being done to 16107:

1. 1.6107 x 10
2. 4 digits ("decimal point originally "hiding" after the '7')
3. to right, leave alone
4. 1.6107 x 104

⇒ 16107 = 1.6107 x 104