本格的リニューアル構想中のため、一部表示に不具合があります m(_ _)m

Calculations 計算

ビジネスノート
この記事は約23分で読めます。

spoken calculations

2+2=4

Two and two is four.  (informal)
Two plus two equals/is four.  (formal)

7-4=3

Four from seven is/leaves three.  (informal)
Seven take away four is/leaves three.  (informal)
Seven minus four equals/is three.  (formal)

3×4=12

Three fours are twelve.  (informal)
Three times four is twelve.  (informal)
Three multiplied by four equals/is twelve.  (formal)

to calculate on paper

146
×281
29200
11680
146
41026

setting:
A hundred and forty-six times two hundred and eighty-one.

beginning:
Put down two noughts/zeros. Tow sixes are twelve; put down two and carry one; two fours are eight and one are nine; two ones are two.

next line:
Put down one nought/zero. eight sixes are forty-eight; put down eight and carry four; eight fours are thirty-two and four is thirty-six; put down six and carry three; eight ones are eight and three is eleven.

next line:
One times 146 is 146.

addition:
Six and nought/zero and nought/zero is six; eight and four and nought/zero is twelve; put down two and carry one; six and two are eight and one is nine and one is ten; put down nought/zero carry one; nine and one are ten and one is eleven; put down one and carry one; two and one are three and one are four.

total:
Forty-one thousand and twenty-six.

9÷3=3

Three(s) into nine goes three (times).  (informal, especially BrE)
Nine divided by three equals/is three. (formal)

$$\frac{2}{7} \div \frac{2}{3} = \frac{3}{7}$$

Two sevenths divided by two thirds equals/is three sevenths.

10 ÷ 3 = 3 r 1

Oh, there’s a remainder!

Ten divided by three equals/is three with a remainder of one.

power and root  累乗と根

$$x^n$$

x to the nth power

$$x^{-n}$$

x to the minus nth power

$$5^2$$

five squared
five to the second power

$$7^3$$

seven cubed
seven to the third power

$$a^2 + b^3 = c^4$$

A squared plus b cubed equals c to the fourth power.

$$\sqrt[n]{x}$$

the nth root of x

$$\sqrt{7}$$

the square root of seven
the second root of seven
root seven
radical seven

$$\sqrt[3]{25}$$

the cube root of twenty-five
the third root of twenty-five

$$\sqrt[5]{432}$$

the fifth root of four hundred thirty-two

Multiplication / Times tables 九九

Please tell me the four times table.

Let’s begin our multiplication table of four.

The four times table starts; “Four times zero is zero, four times one is one, …”

1 Times Table

0 X 1 = 0 Zero times one is zero.
1 X 1 = 1 One times one is one.
2 X 1 = 2 Two times one is two.
3 X 1 = 3 Three times one is three.
4 X 1 = 4 Four times one is four.
5 X 1 = 5 Five times one is five.
6 X 1 = 6 Six times one is six.
7 X 1 = 7 Seven times one is seven.
8 X 1 = 8 Eight times one is eight.
9 X 1 = 9 Nine times one is nine.
10 X 1 = 10 Ten times one is ten.
11 X 1 = 11 Eleven times one is eleven.
12 X 1 = 12 Twelve times one is twelve.

2 Times Table

0 X 2 = 2 Zero times two is zero.
1 X 2 = 2 One times two is two.
2 X 2 = 4 Two times two is four.
3 X 2 = 6 Three times two is six.
4 X 2 = 8 Four times two is eight.
5 X 2 = 10 Five times two is ten.
6 X 2 = 12 Six times two is twelve.
7 X 2 = 14 Seven times two is forteen.
8 X 2 = 16 Eight times two is sixteen.
9 X 2 = 18 Nine times two is eighteen.
10 X 2 = 20 Ten times two is twenty.
11 X 2 = 22 Eleven times two is twenty-two.
12 X 2 = 24 Twelve times two is twenty-four.

3 Times Table

0 X 3 = 0 Zero times three is zero.
1 X 3 = 3 One times three is three.
2 X 3 = 6 Two times three is six.
3 X 3 = 9 Three times three is nine.
4 X 3 = 12 Four times three is twelve.
5 X 3 = 15 Five times three is fifteen.
6 X 3 = 18 Six times three is eighteen.
7 X 3 = 21 Seven times three is twenty-one.
8 X 3 = 24 Eight times three is twenty-four.
9 X 3 = 27 Nine times three is twenty-seven.
10 X 3 = 30 Ten times three is thirty.
11 X 3 = 33 Eleven times three is thirty-three.
12 X 3 = 36 Twelve times three is thirty-six.

4 Times Table

0 X 4 = 0 Zero times four is zero.
1 X 4 = 4 One times four is four.
2 X 4 = 8 Two times four is eight.
3 X 4 = 12 Three times four is twelve.
4 X 4 = 16 Four times four is sixteen.
5 X 4 = 20 Five times four is twenty.
6 X 4 = 24 Six times four is twenty-four.
7 X 4 = 28 Seven times four is twenty-eight.
8 X 4 = 32 Eight times four is thirty-two.
9 X 4 = 36 Nine times four is thirty-six.
10 X 4 = 40 Ten times four is forty.
11 X 4 = 44 Eleven times four is forty-four.
12 X 4 = 48 Twelve times four is forty-eight.

5 Times Table

0 X 5 = 0 Zero times five is zero.
1 X 4 = 5 One times five is five.
2 X 5 = 10 Two times five is ten.
3 X 5 = 15 Three times five is fifteen.
4 X 5 = 20 Four times five is twenty.
5 X 5 = 25 Five times five is twenty-five.
6 X 5 = 30 Six times five is thirty.
7 X 5 = 35 Seven times five is thirty-five.
8 X 5 = 40 Eight times five is forty.
9 X 5 = 45 Nine times five is forty-five.
10 X 5 = 50 Ten times five is fifty.
11 X 5 = 55 Eleven times five is fifty-five.
12 X 5 = 60 Twelve times five is sixty.

6 Times Table

0 X 6 = 0 Zero times six is zero.
1 X 6 = 6 One times six is six.
2 X 6 = 12 Two times six is twelve.
3 X 6 = 18 Three times six is eighteen.
4 X 6 = 24 Four times six is twenty-four.
5 X 6 = 30 Five times six is thirty.
6 X 6 = 36 Six times six is thirty-six.
7 X 6 = 42 Seven times six is forty-two.
8 X 6 = 48 Eight times six is forty-eight.
9 X 6 = 54 Nine times six is fifty-four.
10 X 6 = 60 Ten times six is sixty.
11 X 6 = 66 Eleven times six is sixty-six.
12 X 6 = 72 Twelve times six is seventy-two.

7 Times Table

0 X 7 = 0 Zero times seven is zero.
1 X 7 = 7 One times seven is seven.
2 X 7 = 14 Two times seven is forteen.
3 X 7 = 21 Three times seven is twenty-one.
4 X 7 = 28 Four times seven is twenty-eight.
5 X 7 = 35 Five times seven is thirty-five.
6 X 7 = 42 Six times seven is forty-two.
7 X 7 = 49 Seven times seven is forty-nine.
8 X 7 = 56 Eight times seven is fifty-six.
9 X 7 = 63 Nine times seven is sixty-three.
10 X 7 = 70 Ten times seven is seventy.
11 X 7 = 77 Eleven times seven is seventy-seven.
12 X 7 = 84 Twelve times seven is eighty-four.

8 Times Table

0 X 8 = 0 Zero times eight is zero.
1 X 8 = 8 One times eight is eight.
2 X 8 = 16 Two times eight is sixteen.
3 X 8 = 24 Three times eight is twenty-four.
4 X 8 = 32 Four times eight is thirty-two.
5 X 8 = 40 Five times eight is forty.
6 X 8 = 48 Six times eight is forty-eight.
7 X 8 = 56 Seven times eight is fifty-six.
8 X 8 = 64 Eight times eight is sixty-four.
9 X 8 = 72 Nine times eight is seventy-two.
10 X 8 = 80 Ten times eight is eighty.
11 X 8 = 88 Eleven times eight is eighty-eight.
12 X 8 = 96 Twelve times eight is ninety-six.

9 Times Table

0 X 9 = 0 Zero times nine is zero.
1 X 9 = 9 One times nine is nine.
2 X 9 = 18 Two times nine is eighteen.
3 X 9 = 27 Three times nine is twenty-seven.
4 X 9 = 36 Four times nine is thirty-six.
5 X 9 = 45 Five times nine is forty-five.
6 X 9 = 54 Six times nine is fifty-four.
7 X 9 = 63 Seven times nine is sixty-three.
8 X 9 = 72 Eight times nine is seventy-two.
9 X 9 = 81 Nine times nine is eighty-one.
10 X 9 = 90 Ten times nine is ninety.
11 X 9 = 99 Eleven times nine is ninety-nine.
12 X 9 = 108 Twelve times nine is one hundred oh eight.

10 Times Table

0 X 10 = 0 Zero times ten is zero.
1 X 10 = 10 One times ten is ten.
2 X 10 = 20 Two times ten is twenty.
3 X 10 = 30 Three times ten is thirty.
4 X 10 = 40 Four times ten is forty.
5 X 10 = 50 Five times ten is fifty.
6 X 10 = 60 Six times ten is sixty.
7 X 10 = 70 Seven times ten is seventy.
8 X 10 = 80 Eight times ten is eighty.
9 X 10 = 90 Nine times ten is ninety.
10 X 10 = 100 Ten times ten is one hundred.
11 X 10 = 110 Eleven times ten is one hundred and ten.
12 X 10= 120 Twelve times ten is one hundred and twenty.

11 Times Table

0 X 11 = 0 Zero times eleven is zero.
1 X 11 = 11 One times eleven is eleven.
2 X 11 = 22 Two times eleven is twenty-two.
3 X 11 = 33 Three times eleven is thirty-three.
4 X 11 = 44 Four times eleven is forty-four.
5 X 11 = 55 Five times eleven is fifty-five.
6 X 11 = 66 Six times eleven is sixty-six.
7 X 11 = 77 Seven times eleven is seventy-seven.
8 X 11 = 88 Eight times eleven is eighty-eight.
9 X 11 = 99 Nine times eleven is ninety-nine.
10 X 11 = 110 Ten times eleven is one hundred and ten.
11 X 11 = 121 Eleven times eleven is one hundred and twenty-one.
12 X 11= 132 Twelve times eleven is one hundred and thirty-two.

12 Times Table

0 X 12 = 0 Zero times twelve is zero.
1 X 12 = 12 One times twelve is twelve.
2 X 12 = 24 Two times twelve is twenty-four.
3 X 12 = 36 Three times twelve is thirty-six.
4 X 12 = 48 Four times twelve is forty-eight.
5 X 12 = 60 Five times twelve is sixty.
6 X 12 = 72 Six times twelve is seventy-two.
7 X 12 = 84 Seven times twelve is eighty-four.
8 X 12 = 96 Eight times twelve is ninety-six.
9 X 12 = 108 Nine times twelve is one hundred oh eight.
10 X 12 = 120 Ten times twelve is one hundred and twenty.
11 X 12 = 132 Eleven times twelve is one hundred and thirty-two.
12 X 12= 144 Twelve times twelve is one hundred and forty-four.

Find the area of this figure. この図形の面積を求めよ

πr2  円の面積

The area of a circle is equal to pi times the radius squared.

円の面積は、π×半径の2乗

b × h  平行四辺形の面積

The area of a parallelogram is equal to its base (b) times the height (h).

平行四辺形の面積は、底辺×高さ

(b × h)÷2  三角形の面積

The area of a triangle is equal to its base (b) times the height (h) divided by two.

三角形の面積は、底辺×高さ÷2

{(a+b)×h}÷2  台形の面積

The area of a trapezoid is equal to the sum of both bases (a+b) times the height (h) divided by two.

台形の面積は、(上底+下底)×高さ÷2

Find the volume of this box. この箱の体積を求めよ

l3  立方体の体積

The volume of a cube is equal to the length of one of its sides cubed.

立方体の体積は、一辺の長さの3乗

(b×l×h)÷3  四角錐の体積

The volume of a pyramid is equal to the area of its base (b times l) times the height (h) divided by three.

四角錐の体積は、幅×奥行×高さ÷3

(4×π×r3)÷3  球の体積

The volume of a sphere is equal to four times pi times the radius cubed divided by three.

球の体積は、4×π×半径の3乗÷3

mathematical expressions  数式

4x + 2x = 6x

Four x plus two x equals six x.

y = – 6x2 + 8x + 3

Y equals  negative/minus six x squared plus eight x plus three.

(a + b)2 = a2 + 2ab + b2

[The quantity] A plus b squared equals a squared plus two (times) a (times) b plus b squared.

(a+b)(a-b)=a2 – b2

[The quantity] A plus b times [the quantity] a minus b equals a squared minus b squared.

y = (4x2 – 12x + 9)÷(2x – 3)

Y equals [the quantity] four x squared minus twelve x plus 9 divided by [the quantity] two x minus three.

a2 + b2 ≧ 2(a – b – 1)

A squared plus b squared is greater than or equal to two times [the quantity] a minus b minus one.

$$ \sqrt{4} + \sqrt{16} = 6$$

The square root of four plus the square root of sixteen equals six.

$$a^2 + b^3 = \sqrt[3]{c}$$

A squared plus b cubed equals the cube root of c.

$$y = f(x)$$

Y is[equals] a function of x.

3 : 7 = 6 : 14

Three is to seven as six is to fourteen.

$$\sum_{n=0}^\infty a_n$$

Summation from zero to infinity of a sub n.

シグマのn=0から無限のエーエヌ

$$\int_a^b f(x) dx$$

Integral of a function of x with respect to x from x equals a to x equals b.

インテグラルa, bエフエックスディエックス

relational operator 関係演算子

A ≠ B

A is not equal to B.
A does not equal B.
AはBと等しくない

A > B

A is greater than B.
AはBより大きい

A < B

A is less than B.
AはBより小さい

A ≧ B

A is greater than or equal to B.
AはBより大きいか等しい

A ≦ B

A is less than or equal to B.
AはBより小さいか等しい

\begin{eqnarray}
30未満 = \begin{cases}
under\,\,30 \\
below\,\,30 \\
less\,\,than\,\,30 \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30以下 = \begin{cases}
not\,\,more\,\,than\,\,30 \\
30\,\,and\,\,(or)\,\,less \\
30\,\,and\,\,(or)\,\,under \\
30\,\,and\,\,(or)\,\,below \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30より多く = \begin{cases}
more\,\,than\,\,30 \\
over\,\,30 \\
above\,\,30 \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30以上 = \begin{cases}
not\,\,less\,\,than\,\,30 \\
30\,\,and\,\,(or)\,\,more \\
30\,\,and\,\,(or)\,\,above \\
30\,\,and\,\,(or)\,\,over \\
\end{cases}
\end{eqnarray}

スポンサーリンク
SNSフォロー
この記事を書いた人
TK

現役の経営コンサルタントです。経営管理の仕組み構築や経営戦略の立案、BIシステムを中心としたIT導入まで手掛けております。最近はファイナンス(資本コスト経営)、バリュエーション、BEPS対応、コーチング・組織学習支援での実績があります。

SNSフォロー
経営コンサルタントによる経営戦略と経営管理に効く経営管理会計