1. 問題の内容
画像に写っている計算問題を解きます。
2. 解き方の手順
各問題について、順に計算していきます。
1. $2x \times 2y = 4xy$
2. $3a \times 4b = 12ab$
3. $5x \times 2y = 10xy$
4. $4m \times 6n = 24mn$
5. $3x \times (-3y) = -9xy$
6. $(-4a) \times 2h = -8ah$
7. $3p \times 5q = 15pq$
8. $7x \times (-y) = -7xy$
9. $6x \times 6y = 36xy$
1
0. $(-2x) \times (-8y) = 16xy$
1
1. $(-p) \times (-q) = pq$
1
2. $(2a)^2 = (2a) \times (2a) = 4a^2$
1
3. $(3x)^2 = 9x^2$
1
4. $(-2m)^2 = 4m^2$
1
5. $(4y)^2 = 16y^2$
1
6. $(-3p)^2 = 9p^2$
1
7. $(5x)^2 = 25x^2$
1
8. $(-x)^2 = x^2$
1
9. $(8y)^2 = 64y^2$
2
0. $-(6a)^2 = -36a^2$
2
1. $(2x)^3 = 8x^3$
2
2. $12x^2 \div 6x = 2x$
2
3. $9ab \div 3b = 3a$
2
4. $21xy \div 7x = 3y$
2
5. $-8mn \div 4m = -2n$
2
6. $20a \div 5a = 4$
2
7. $15xy^2 \div 3y = 5xy$
2
8. $7x^2 \div x = 7x$
2
9. $6ab \div (-3a) = -2b$
3
0. $16xy \div 4xy = 4$
3
1. $18x^2 \div 6x = 3x$
3
2. $a^2b \div a^2b = 1$
3
3. $x^2 \div \frac{x}{3} = x^2 \times \frac{3}{x} = 3x$
3
4. $ab \div \frac{b}{6} = ab \times \frac{6}{b} = 6a$
3
5. $3x^2 \div \frac{1}{2}x = 3x^2 \times \frac{2}{x} = 6x$
3
6. $2m^2 \div \left( -\frac{m}{5} \right) = 2m^2 \times \left( -\frac{5}{m} \right) = -10m$
3
7. $\frac{1}{2}x^2 \div \frac{1}{3}x = \frac{1}{2}x^2 \times \frac{3}{x} = \frac{3}{2}x$
3
8. $-x^2 \div \frac{x}{2} = -x^2 \times \frac{2}{x} = -2x$
3
9. $x \times xy \div y = x \times xy \times \frac{1}{y} = x^2$
4
0. $2a \div ab \times a = 2a \times \frac{1}{ab} \times a = \frac{2a^2}{ab} = \frac{2a}{b}$
4
1. $3x^2 \div x \times xy = 3x^2 \times \frac{1}{x} \times xy = 3x^2y$
4
2. $p^2q \times q \div pq = p^2q \times q \times \frac{1}{pq} = \frac{p^2q^2}{pq} = pq$
4
3. $a^2b \div a \div ab = a^2b \times \frac{1}{a} \times \frac{1}{ab} = \frac{a^2b}{a^2b} = 1$
4
4. $4x \div xy \div 2y = 4x \times \frac{1}{xy} \times \frac{1}{2y} = \frac{4x}{2xy^2} = \frac{2}{y^2}$
4
5. $mn \times 6 \div m^2n = mn \times 6 \times \frac{1}{m^2n} = \frac{6mn}{m^2n} = \frac{6}{m}$
3. 最終的な答え
上記参照。