Multiplication after Rounding up and subtraction

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  • #27441
    pradnesh25
    Participant
    • Topics: 2
    • Replies: 2

    Hi Abhishek,

    I am having difficulties after rounding up and subtracting the amount.

    For Example: For 67×8, i would round up the first number by 3 to 70 and multiply it by 8 and it will get 560 and similarly for the rounded up value 3×8=24. So, how do i apply the round up technique here while subtracting 84 from 560? I am getting 516 as the answer as the last digit adds up to 10 and other adds upto 9..

    I know its silly but i think am getting frequently stuck and confused.

    #27452
    Abhishek R
    Keymaster
    • Topics: 0
    • Replies: 73

    Here are the steps:

    We are trying to multiply

    = 67 x 8.

    We break down 67 into (70 – 3). So we get:

    = (70 – 3) x 8

    Multiplying the individual numbers we have.

    = 560 – 24

    LR Subtraction without Round Up. 

    Here we subtract left to right.

    560 – 24 = _ _ _

    First number is 5 so it becomes the first digit of the answer.

    560 – 24 = 5 _ _

    Second digits is 6 – 2 = 4 it becomes the second digit of the answer.

    560 – 24 = 5 4 _

    We cannot subtract 0 – 4 so we must borrow 1 from the existing answer 54 so it becomes 53.

    560 – 24 = 53 _

    Now we subtract 10 – 4 to get 6 which is the last digit of the answer.

    560 – 24 = 536.

    Alternative LR Subtraction with Round Up. 

    If you want to do the LR Subtraction with round up, then here are the steps. To recap we are trying to subtract

    560 – 24 = _ _ _

    We can round up 24 to 30 so the equation becomes:

    560 – (30 – 6) = _ _ _

    530 – 30 + 6 = _ _ _

    We subtract 560 – 30 to get 530

    560 – 30 = 530.

    We add the amount we rounded up which is 6 to get 536.

    530 + 6 = 536.

    536 is the final answer for 67 x 8.

    Hope this clarifies.

     

    #27461
    pradnesh25
    Participant
    • Topics: 2
    • Replies: 2

    Oh, I got it. Thanks! I just have to round up the rounded up value and add.

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