Question

multiplication and memory

1. \\(39 \times 6 = 234\\)
2. \\(15 \times 8 = 120\\)
3. \\(15 \times 3 = 45\\)
4. \\(18 \times 5 = 90\\)
5. memory total = \\(489\\)

1. \\(39.87 \times 6 =\\) _______
2. \\(17 \times 86.01 =\\) _______
3. \\(20 \times 135.88 =\\) _______
4. \\(6.20 \times 8.3 =\\) _______
5. memory total = _______

1. \\(52 \times 8 =\\) _______
2. \\(56 \times 9 =\\) _______
3. \\(9.8 \times 2 =\\) _______
4. \\(7 \times 9.1 =\\) _______
5. memory total = _______

1. \\(81 \times 2 =\\) _______
2. \\(11.6 \times 9 =\\) _______
3. \\(5 \times 76 =\\) _______
4. memory total = _______

division and memory

1. \\(70 \div 5 = 14.00\\)
2. \\(636 \div 30 =\\) _______
3. \\(890 \div 20 =\\) _______
4. \\(474 \div 34 =\\) _______
5. memory total = _______

1. \\(5,205 \div 25 =\\) _______
2. \\(87,624 \div 39 =\\) _______
3. \\(31,421 \div 190 =\\) _______
4. \\(24,836 \div 71 =\\) _______
5. memory total = _______

1. \\(84 \div 7 =\\) _______
2. \\(584 \div 36 =\\) _______
3. \\(62.50 \div 14 =\\) _______
4. \\(8,539 \div 79 =\\) _______
5. memory total = _______

Explanation:

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<reasoning>

Calculate multiplication blocks 17-21 and 22-26

\[

$$\begin{aligned} &17.\ 39.87 \times 6 = 239.22 \\ &18.\ 17 \times 86.01 = 1462.17 \\ &19.\ 20 \times 135.88 = 2717.60 \\ &20.\ 6.20 \times 8.3 = 51.46 \\ &21.\ \text{Memory Total} = 239.22 + 1462.17 + 2717.60 + 51.46 = 4470.45 \\ &22.\ 52 \times 8 = 416 \\ &23.\ 56 \times 9 = 504 \\ &24.\ 9.8 \times 2 = 19.6 \\ &25.\ 7 \times 9.1 = 63.7 \\ &26.\ \text{Memory Total} = 416 + 504 + 19.6 + 63.7 = 1003.3 \end{aligned}$$

\]

Calculate multiplication blocks 27-30 and division blocks 31-35

\[

$$\begin{aligned} &27.\ 81 \times 2 = 162 \\ &28.\ 11.6 \times 9 = 104.4 \\ &29.\ 5 \times 76 = 380 \\ &30.\ \text{Memory Total} = 162 + 104.4 + 380 = 646.4 \\ &31.\ 70 \div 5 = 14.00 \\ &32.\ 636 \div 30 = 21.20 \\ &33.\ 890 \div 20 = 44.50 \\ &34.\ 474 \div 34 \approx 13.94 \\ &35.\ \text{Memory Total} = 14.00 + 21.20 + 44.50 + 13.94 = 93.64 \end{aligned}$$

\]

Calculate division blocks 36-40 and 41-45

\[

$$\begin{aligned} &36.\ 5205 \div 25 = 208.20 \\ &37.\ 87624 \div 39 \approx 2246.77 \\ &38.\ 31421 \div 190 \approx 165.37 \\ &39.\ 24836 \div 71 \approx 349.80 \\ &40.\ \text{Memory Total} = 208.20 + 2246.77 + 165.37 + 349.80 = 2970.14 \\ &41.\ 84 \div 7 = 12.00 \\ &42.\ 584 \div 36 \approx 16.22 \\ &43.\ 62.50 \div 14 \approx 4.46 \\ &44.\ 8539 \div 79 \approx 108.09 \\ &45.\ \text{Memory Total} = 12.00 + 16.22 + 4.46 + 108.09 = 140.77 \end{aligned}$$

\]
</reasoning>

<answer>

No.	Answer
13	\(120\)
14	\(45\)
15	\(90\)
16	\(489\)
17	\(239.22\)
18	\(1462.17\)
19	\(2717.60\)
20	\(51.46\)
21	\(4470.45\)
22	\(416\)
23	\(504\)
24	\(19.6\)
25	\(63.7\)
26	\(1003.3\)
27	\(162\)
28	\(104.4\)
29	\(380\)
30	\(646.4\)
31	\(14.00\)
32	\(21.20\)
33	\(44.50\)
34	\(13.94\)
35	\(93.64\)
36	\(208.20\)
37	\(2246.77\)
38	\(165.37\)
39	\(349.80\)
40	\(2970.14\)
41	\(12.00\)
42	\(16.22\)
43	\(4.46\)
44	\(108.09\)
45	\(140.77\)

</answer>

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Answer:

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"Decimal Division",
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"current_concepts": [
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"Summation"
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</pre_analysis>

<reasoning>

Calculate multiplication blocks 17-21 and 22-26

\[

$$\begin{aligned} &17.\ 39.87 \times 6 = 239.22 \\ &18.\ 17 \times 86.01 = 1462.17 \\ &19.\ 20 \times 135.88 = 2717.60 \\ &20.\ 6.20 \times 8.3 = 51.46 \\ &21.\ \text{Memory Total} = 239.22 + 1462.17 + 2717.60 + 51.46 = 4470.45 \\ &22.\ 52 \times 8 = 416 \\ &23.\ 56 \times 9 = 504 \\ &24.\ 9.8 \times 2 = 19.6 \\ &25.\ 7 \times 9.1 = 63.7 \\ &26.\ \text{Memory Total} = 416 + 504 + 19.6 + 63.7 = 1003.3 \end{aligned}$$

\]

Calculate multiplication blocks 27-30 and division blocks 31-35

\[

$$\begin{aligned} &27.\ 81 \times 2 = 162 \\ &28.\ 11.6 \times 9 = 104.4 \\ &29.\ 5 \times 76 = 380 \\ &30.\ \text{Memory Total} = 162 + 104.4 + 380 = 646.4 \\ &31.\ 70 \div 5 = 14.00 \\ &32.\ 636 \div 30 = 21.20 \\ &33.\ 890 \div 20 = 44.50 \\ &34.\ 474 \div 34 \approx 13.94 \\ &35.\ \text{Memory Total} = 14.00 + 21.20 + 44.50 + 13.94 = 93.64 \end{aligned}$$

\]

Calculate division blocks 36-40 and 41-45

\[

$$\begin{aligned} &36.\ 5205 \div 25 = 208.20 \\ &37.\ 87624 \div 39 \approx 2246.77 \\ &38.\ 31421 \div 190 \approx 165.37 \\ &39.\ 24836 \div 71 \approx 349.80 \\ &40.\ \text{Memory Total} = 208.20 + 2246.77 + 165.37 + 349.80 = 2970.14 \\ &41.\ 84 \div 7 = 12.00 \\ &42.\ 584 \div 36 \approx 16.22 \\ &43.\ 62.50 \div 14 \approx 4.46 \\ &44.\ 8539 \div 79 \approx 108.09 \\ &45.\ \text{Memory Total} = 12.00 + 16.22 + 4.46 + 108.09 = 140.77 \end{aligned}$$

\]
</reasoning>

<answer>

No.	Answer
13	\(120\)
14	\(45\)
15	\(90\)
16	\(489\)
17	\(239.22\)
18	\(1462.17\)
19	\(2717.60\)
20	\(51.46\)
21	\(4470.45\)
22	\(416\)
23	\(504\)
24	\(19.6\)
25	\(63.7\)
26	\(1003.3\)
27	\(162\)
28	\(104.4\)
29	\(380\)
30	\(646.4\)
31	\(14.00\)
32	\(21.20\)
33	\(44.50\)
34	\(13.94\)
35	\(93.64\)
36	\(208.20\)
37	\(2246.77\)
38	\(165.37\)
39	\(349.80\)
40	\(2970.14\)
41	\(12.00\)
42	\(16.22\)
43	\(4.46\)
44	\(108.09\)
45	\(140.77\)

</answer>

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