Explain how modeling partial products can be used to find the products of greater numbers ?
1 answer:
You can break large numbers into a sum of a multiple(s) of 10 and the last digit of the number. For example, you can break 26 as 20+6, or 157 as 100+50+7.
Then, using the distributive property, you can turn the original multiplication into a sum of easier multiplications. For example, suppose we want to multiply 26 and 37. This is quite challenging to do in your mind, but you can break the numbers as we said above:
All these multiplications are rather easy, because they either involve multiples of 10 of single-digit numbers:
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Answers:
- circle
- center
- radius
- chord
- diameter
- secant
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Explanations:
- Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.
- We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention.
- If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter.
- This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.
- The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge.
- A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only.
