3. จงหาค่าของจำนวนที่อยู่ในรูปสัญกรณ์วิทยาศาสตร์ต่อไปนี้ 1) 4 x \(\mathtt{10^5}\) วิธีทำ 4 x \(\mathtt{10^5}\) = 4 x 100,000 ตอบ 400,000 2) 3.8 x \(\mathtt{10^6}\) วิธีทำ 3.8
x \(\mathtt{10^6}\) = 3.8 x 1,000,000 ตอบ 3,800,000 3) 1.45 x \(\mathtt{10^9}\) วิธีทำ 1.45 x \(\mathtt{10^9}\) = 1.45 x 1,000,000,000 ตอบ 1,450,000,000 4) 8.257 x \(\mathtt{10^4}\) วิธีทำ 8.257 x \(\mathtt{10^4}\) = 8.257 x 10,000 ตอบ 82,570 5) 5.006 x
\(\mathtt{10^{10}}\) วิธีทำ 5.006 x \(\mathtt{10^{10}}\) = 5.006 x 10,000,000,000 ตอบ 50,060,000,000 6) 6.0526 x \(\mathtt{10^{12}}\) วิธีทำ 6.0526 x \(\mathtt{10^{12}}\) = 6.0526 x 1,000,000,000,000 ตอบ 6,052,600,000,000แบบฝึกหัด 3.3 ก (ข้อ 3) [ม.1 เล่ม 1 บทที่ 3 เลขยกกำลัง : สสวท. 2560]
1. จงเขียนจำนวนในแต่ละข้อต่อไปนี้ในรูปสัญกรณ์วิทยาศาสตร์
1) 70,000
ตอบ 7 x \(\mathtt{10^4}\)
= (2.1 x 10) x \(\mathtt{10^4}\)
= 2.1 x (10 x \(\mathtt{10^4}\))
= 2.1 x \(\mathtt{10^{1 \, + \, 4}}\)
= 2.1 x \(\mathtt{10^5}\)
ตอบ 2.1 x \(\mathtt{10^5}\)
= (4.06 x 100) x \(\mathtt{10^4}\)
= (4.06 x \(\mathtt{10^2}\)) x \(\mathtt{10^4}\)
= 4.06 x
(\(\mathtt{10^2}\)
x \(\mathtt{10^4}\))
= 4.06 x \(\mathtt{10^{2 \, + \, 4}}\)
= 4.06 x \(\mathtt{10^6}\)
ตอบ 4.06 x \(\mathtt{10^6}\)
วิธีทำ
56,700,000
= 567 x 100,000
= (5.67 x 100) x \(\mathtt{10^5}\)
= (5.67 x \(\mathtt{10^2}\)) x \(\mathtt{10^5}\)
= 5.67 x (\(\mathtt{10^2}\) x \(\mathtt{10^5}\))
= 5.67 x \(\mathtt{10^{2 \, + \, 5}}\)
= 5.67 x \(\mathtt{10^7}\)
ตอบ 5.67 x \(\mathtt{10^7}\)
วิธีทำ
15,006,000
= 15,006 x 1,000
= (1.5006 x 10,000) x \(\mathtt{10^3}\)
= (1.5006 x \(\mathtt{10^4}\)) x \(\mathtt{10^3}\)
= 1.5006 x (\(\mathtt{10^4}\) x \(\mathtt{10^3}\))
= 1.5006 x \(\mathtt{10^{4 \, + \, 3}}\)
= 1.5006 x \(\mathtt{10^7}\)
ตอบ 1.5006 x \(\mathtt{10^7}\)
วิธีทำ
8,000,000,000
= 8 x 1,000,000,000
ตอบ 8 x \(\mathtt{10^9}\)
วิธีทำ
490,000,000,000
= 49 x 10,000,000,000
= (4.9 x 10) x \(\mathtt{10^{10}}\)
= 4.9 x (10 x \(\mathtt{10^{10}}\))
= 4.9 x \(\mathtt{10^{1 \, + \, 10}}\)
= 4.9 x \(\mathtt{10^{11}}\)
ตอบ 4.9 x \(\mathtt{10^{11}}\)
วิธีทำ
70,101,000,000
= 70,101 x 1,000,000
= (7.0101 x 10,000) x \(\mathtt{10^6}\)
= (7.0101 x \(\mathtt{10^4}\)) x \(\mathtt{10^6}\)
= 7.0101 x (\(\mathtt{10^4}\) x \(\mathtt{10^6}\))
= 7.0101 x \(\mathtt{10^{4 \, + \, 6}}\)
= 7.0101 x \(\mathtt{10^{10}}\)
ตอบ 7.0101 x \(\mathtt{10^{10}}\)
วิธีทำ
24,500,000,000,000
= 245 x 100,000,000,000
= (2.45 x 100) x \(\mathtt{10^{11}}\)
= (2.45 x
\(\mathtt{10^2}\)) x \(\mathtt{10^{11}}\)
= 2.45 x (\(\mathtt{10^2}\) x \(\mathtt{10^{11}}\))
= 2.45 x \(\mathtt{10^{2 \, + \, 11}}\)
= 2.45 x \(\mathtt{10^{13}}\)
ตอบ 2.45 x \(\mathtt{10^{13}}\)
วิธีทำ
19,567,000,000,000
= 19,567 x 1,000,000,000
= (1.9567 x 10,000) x \(\mathtt{10^9}\)
= (1.9567 x \(\mathtt{10^4}\)) x \(\mathtt{10^9}\)
= 1.9567 x (\(\mathtt{10^4}\)
x \(\mathtt{10^9}\))
= 1.9567 x \(\mathtt{10^{4 \, + \, 9}}\)
= 1.9567 x \(\mathtt{10^{13}}\)
ตอบ 1.9567 x \(\mathtt{10^{13}}\)