Q&A for How to Speed Up Numeric Calculations in Mathematics

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How do you find 175*102?

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First multiply 175 by 100: that's 17,500. Now multiply 175 by 2: that's 350. Finally, add those two results together: 17,500 + 350 = 17,850.

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How do we find the square of 68?

I_l1ke_gam3s

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Multiply 68 by 68.

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How do you multiply a number less than 100 by a number more than 100? For example, 98×106.

I_l1ke_gam3s

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Multiply 98 by 100 to get 9800. Then multiply 98 by 6. You get 588. Finally, add 9800 to 588 to get the final answer of 10,388.

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How do I show my work for how much is 259g at $8.60 /kg?

Joy

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Divide the number of grams by 1,000 to convert to kilograms, and then multiply by the price per kilogram.

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How do we find the square of 68?

Community Answer

We multiply 68 by itself: (68)(68) = 4624.

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How do you make successors?

Joy

Community Answer

To "make successors" means to identify, develop, and prepare certain employees within an organization to take over critical roles when current leaders leave. You do this through mentorship, training, and gradually increasing responsibilities, ensuring a smooth transition within the company. This process is called "succession planning."

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How do you multiply 306 by 402 quickly?

Community Answer

Those two zeroes help make it easy. 6 x 2 = 12. 6 x 4 = 24. So the first partial product is 2412. The second partial product is 0. The third partial product is 1206, because 3 x2 = 06, and 3 x 4 = 12. Line up the partial products correctly, and the final product is 123,012.

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The trick with 9: 49/9 = 4 (by your trick), but it is actually 5 with a remainder of 4.

Community Answer

That "trick" (Step 7) works most of the time, but not when the second digit of the dividend (the numerator) is 9. The article neglects to mention that. (There are other problems with that "trick," too.)

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How do you quickly multiply 306 by 402?

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Those zeroes make it fairly easy. Let's make 306 the top multiplier and 402 the bottom. Get the first partial product by multiplying 306 by 2 (you can probably do that in your head): it's 612. The second partial product is zero, and you can ignore that. The third partial product is found by multiplying 306 by 4 (again, in your head): that's 1224. Place the 4 in that partial product below the 6 in the first partial product (so that there's nothing placed above the 122). Finally, add the properly aligned partial products to get the final product: 23,012.

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