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### Course: 4th grade > Unit 4

Lesson 3: Estimate products (2-digit numbers)# Estimating 2-digit multiplication

Sal estimates to find reasonable products to 2-digit multiplication expressions.

## Want to join the conversation?

- So is this how you do it? Round both numbers to the nearest ten then multiply them without the zero the product will be part of the answer because you have to add the two zeros?(30 votes)
- Not exactly the way(12 votes)

- At2:13he says that we aren't getting the exact answer, just "roughly" the right answer, but that this is still useful.

When is this useful? And why would we want to estimate when we can just do the math?(26 votes)- I think Sal put it well at the end. If you make an estimate before you do the math, you'll have a check on your math. Then an error would be apparent.(8 votes)

- this is like rounding dis is my thing(8 votes)
- At0:35I don't know how you want me to estimate. Somebody please tell me.

---*Problem is resolved, Thank you!*---(5 votes) - what is 3,783 x 237 estimated(4 votes)
- 4,000 x 250 =~ 1,000,000

When estimating, the rule is to round the number to the nearest number that you can calculate easily in your head. That's why I round 237 to 250 because 25 x 4 = 100 which is easy to calculate(0 votes)

- Is this 3rd grade, 4th grade, 5th grade or 6th grade math?(4 votes)
- It is 7th grade math-_-(2 votes)

- were did the 80 come form?(2 votes)
- 78 rounded to the greatest value (tens) is 80. Hope that helped! ;3(4 votes)

- what is the rounding of 10987 to the nearest 10000?(2 votes)
- why do i have to do this like it so hard smh(3 votes)

## Video transcript

- [Instructor] So, we are asked, question mark is roughly equal to this squiggly equal
sign right over here, this means roughly equal to, so not exactly equal to 44 times 78. So one way to think about
it is, 44 times 78 is roughly equal to what? So they're really asking us to estimate. So I encourage you to pause this video and try to think through
how you would estimate what 44 times 78 is. Once again, you don't
have to get it exactly, you just want to get it roughly. And think about which of these choices are closest to that estimation of yours. All right now, let's
work through it together. So for me, the best way to
estimate is to think about, "Hey, can I think of these numbers, "can I estimate these numbers, "or think about what are
they roughly equal to?" And when I think about what
they're roughly equal to I want to think about numbers that are easy to multiply potentially in my head. So for example 44 is
reasonably close to 40, so I could say that, "Hey this is approximately
equal to or roughly equal to 40, "so that's my estimate of
44, or 44 is roughly 40." And then 78 I could say, "Hey, that's pretty close
to 80" and so I could say, "This is roughly equal to 40 times 80," and this is pretty straight forward. Some of you might already recognize that four times eight is 32, and then we have four tens
and then we have eight tens, so it would be four times
eight times 10 twice. But if what I just said
is confusing to you, we could think about it this way. 40 times 80 is the same
thing as four times 10, that's 40, times eight
times 10, that's 80, and this is equal to, I'm just
gonna switch the order here of this multiplication which we can do, this is equal to four times
eight times 10 times 10, four times eight is 32, 10 times 10 is 100. So we can say that this
is equal to 32 hundreds, or we could view that as 3,200, which we could also view as 32 hundreds. And so that is this
choice right over here. Now this isn't exactly
what 44 times 78 is, but it's roughly, and this is useful. Sometimes in life, you just
have to get a rough sense of what something is going to be. Sometimes when you even are
trying to find this exact product, your brain wants to
check does that make sense? Let say you went through some
process to figure out this, and you got some number that is close to 20, and you're
like, "Wait, wait a minute" But roughly when I
think about 40 times 80, this should be close to 3,200, I must have done something wrong. So it also helps you
keep a check on yourself.