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How do you multiply three digit numbers by two digit numbers?

Anonymous

∙ 10y ago

Updated: 9/24/2023

Let x = abc be a 3-digit number. The expanded for of x is 100*a + 10*b + c.And let y = de = 10*d + e be a 2-digit number.

Then x*y =

1000*a*d + 100*a*e + 100*b*d + 10*b*e + 10*c*d + c*e

= 1000*a*d + 100*(a*e + b*d) + 10*(b*e + c*d) + c*e.

Wiki User

∙ 9y ago

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Continue Learning about Math & Arithmetic

How do you multiply two-digit numbers in your head?

Practice!

When you multiply 5 the ones digit in the product is one of these two numbers Name the numbers Explain how you know?

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It can have one . . . 1.0 x 1.0 = 1 It can have two . . . 1.0 x 0.1 = 0.1 It can have three . . . 10 x 10 = 100 It can have four . . . 99 x 99 = 9801 and .01 x .01 = .0001

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To multiply two digit decimal numbers, multiply the numbers as you would without the decimals. To put the decimal in the answer, count the number of decimal places in the two numbers and put the decimal in the answer that many places to the left. For example: 5.12 x 6.35 = 32.5120. If the numbers were 51.2 x 63.5, the answer would be 3251.20.

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