One balloon = 1 cube ft. Using this value and multiplying it by 1,000,000, we can find how much space all of these would take up. Since 1 times anything is just the unchanged value, • a million inflated balloons = 1000000 ft^3.
The classroom has dimensions 35, 50, and 15 ft. We can use these values to find the classroom’s volume. The equation for Volume of a rectangular prism: V = lwh, where l is length, w is width, and h is height. Substitute given dimensions into this equation: • V = 35*50*15 = 26250 ft^3.
now, what times 26250 will equal 1000000? Well, let’s set up an equation and solve for x, the number of classrooms. • 26,250x = 1,000,000. Divide both sides by 26250 to get x alone: • x = 38.0952.
Approximately 38 classrooms are necessary to hold 1,000,000 inflated balloons.
Check: when x is 38: 26,250(38) = 997,500 ft^3. When x is 39: 26,250(38) = 1,023,750 ft^3. x = 38 is more accurate. **(I will note, however, that I’m not sure if you’re instructed to round according to the decimal rules or round UP a whole number because that extra .0952 needs to be included).
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
