Question

48,919 ÷ ? = 489.19 489,190 ÷ 1,000 =? 4,891,900 ÷ ? = 489.19 ? ÷ 100,000 = 489.19

Answer 1

Answer:

• 100
• 489.190
• 10,000
• 48,919,000

Step-by-step explanation:

Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.

a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.

b) The divisor is 10^3, so the decimal point will move 3 places to the left.

  489.190

c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.

d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...

  48,919,000

_____

Additional comment

An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.