The table shows new numbers from original numbers that were multiplied or divided by powers of ten.
ORINAL NUMBER NEW NUMBER
35.3 0.0353
123 0.123
26.5 2,650
456 4.56
1.52 152
72.6 0.726
Which original numbers were divided by 10² to create new numbers? explain.

Respuesta :

Answer:

Step-by-step explanation:

456  4.56

Calculate the division of the first number by the second number

a / b = x => a = b*x

Calculate x when a / x = b (x the number you use to divide a and obtain b). If x < 1 instead of dividing to x you can multiply by 1/x

35.3 / 0.0353 = 35.3 / (35.3/1000) = 1000 = 10^3= > the number was divided with 10^3  

123 / 0.123 = 123 / (123/1000) = 1000 = 10^3= > the number was divided by 10^3

26.5 / 2,650 = 26.5 / (26.5*100) = 1/100 = 1/(10^2) => number multiplied by 10^2

456 / 4.56 = 456 / (456 / 100) = 1/(1/100) = 100 = 10^2 => number divided by 10^2

1.52 / 152 = 1.52 / (1.52*100) = 1/100 = 1/(10^2) => number multiplied by 10^2

72.6 / 0.726 = 72.6 / (72.6/100) = 100 = 10^2 => number multiplied by 10^2