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The student multiplies by a three-digit number by splitting the multiplier into hundreds, tens and ones and adding the three partial products.
Preview · progress not saved — Chapter 1 is free
The names for the parts of a multiplication, and what is new in this chapter.
In multiplication, there are three important terms you need to know. The multiplicand is the number to be multiplied. The multiplier is the number by which we multiply. Finally, the product is the answer we get after multiplication.
For example, in , is the multiplicand, is the multiplier, and is the product.
Break 327 into 300, 20 and 7, multiply by each, then add.
Trying to multiply a large number by all at once is just too much to hold in your head. The trick is to break the multiplier apart.
For example, the multiplier can be written in expanded form as hundreds tens ones. That is .
The worked layout from page 33, with each row tied to its step.
A mathematical column multiplication set out over six place columns. At the very top, place abbreviations L, T.Th, Th, H…
The book's own example, worked through all four steps.
Problem. Multiply by .
Worksheet 1 question 3(a), the shape the book never works.
Problem. Multiply by .
A card to come back to while working through Worksheet 1.
When multiplying by a 3-digit number, write it in expanded form. For example, 327 can be split as 300 + 20 + 7.
Constraint Check: The answer must not exceed 9,99,999 in this chapter. A product with more than six digits means something has gone wrong!
Worksheet 1 question 1(a), faded row by row.
Let us multiply 317 by 125. The multiplier, 125, can be split into 100 + 20 + 5.
In Step 1, we multiply 317 by 5, giving a first partial product of .
In Step 2, we multiply by 20. Because we are multiplying by tens, the row ends in trailing zero, making the second partial product .
In Step 3, we multiply by 100. This row ends in trailing zeros, meaning the third partial product is .
Finally, adding the three rows together gives the total product of 39,625.