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Explain 15 - 8 mentally by using the terminologies.

Mathematics

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2 parts
a
8
b
8

Step-by-step solution

6 steps

Okay, let's tackle the questions under "3 Confirm".

1) Explain 15−815 - 8 mentally by using the terminologies.

To subtract 15−815 - 8 mentally, we can use the strategy of making a ten.

Step 1: Decompose the subtrahend 8 into two parts: one part that, when subtracted from the minuend 15, results in 10.

15−8=15−(5+3)15 - 8 = 15 - (5 + 3)

Step 2: Subtract 5 from 15 to reach 10.

(15−5)−3=10−3(15 - 5) - 3 = 10 - 3

Step 3: Subtract the remaining 3 from 10.

10−3=710 - 3 = \boxed{7}

2) Explain 13−513 - 5 by 'Subtraction-addition method' and 'Subtraction-subtraction method'.

Part a· 3 steps

Subtraction-addition method (also known as "counting up" or "think addition")

This method finds the difference by adding up from the subtrahend to the minuend.

  1. Start with the subtrahend, 5.

    Add to reach the next friendly number, 10.

    5+5=105 + 5 = 10
  2. From 10, add to reach the minuend, 13.

    10+3=1310 + 3 = 13
  3. The total amount added is the difference.

    5+3=85 + 3 = \boxed{8}

    So, 13−5=813 - 5 = 8.

Part b8

Subtraction-subtraction method (also known as "take away to make a ten" or "decompose the subtrahend")

This method involves decomposing the subtrahend to subtract in parts, often by first subtracting to reach a ten.

  1. Decompose the subtrahend 5 into two parts

    one part that, when subtracted from the minuend 13, results in 10.

    13−5=13−(3+2)13 - 5 = 13 - (3 + 2)
  2. Subtract 3 from 13 to reach 10.

    (13−3)−2=10−2(13 - 3) - 2 = 10 - 2
  3. Subtract the remaining 2 from 10.

    10−2=810 - 2 = \boxed{8}

    So, 13−5=813 - 5 = 8.

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