Tenths aur hundredths kya hote hain?

Tenth unit ke 10 barabar hisson mein se ek hai, jo 1/10 ya 0.1 likha jaata hai. Hundredth unit ke 100 barabar hisson mein se ek hai, jo ek tenth ke 10 barabar hisson mein se ek ke barabar hai, aur 1/100 ya 0.01 likha jaata hai. Isliye 10 tenths ek unit, 10 hundredths ek tenth aur 100 hundredths ek unit banaate hain.

Decimal sankhya kaise padhte hain?

Poora hissa hamesha ki tarah padho, phir point bolo, phir point ke baad ke digits ek-ek karke padho. Isliye 70.5 seventy point five hai, 7.05 seven point zero five hai aur 0.274 zero point two seven four hai, kyunki uske digits 2 tenths, 7 hundredths aur 4 thousandths hain, kisi cheez ke do sau chauhattar nahi.

mm ko cm aur cm ko m mein kaise badlein?

1 cm = 10 mm, isliye millimetres ko 10 se bhaag do: 56 mm = 5.6 cm aur 9 mm = 0.9 cm. 1 m = 100 cm, isliye centimetres ko 100 se bhaag do: 15 cm = 0.15 m aur 207 cm = 2.07 m. Isi tarah 1 g = 0.001 kg aur 1 paisa = ₹0.01.

Decimals: tenths aur hundredths

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Chhoti units kyun?

Do screws ek jaise dikhkar bhi lambaai mein alag ho sakte hain, itne ki unme se ek hi fit ho. Sirf poore centimetres waala ruler bas itna bata sakta hai ki screw 2 cm aur 3 cm ke beech khatm hota hai. Har aadhe centimetre pe nishaan hon to pata chalta hai ki wo 2½ cm se zyaada par 3 cm se kam hai. Jab har centimetre 10 barabar hisson mein baanta jaata hai, tabhi dikhta hai ki wo kahan khatm hota hai: 2 cm aur un chhote hisson mein se 7. Ise 2 7/10 cm likhte hain aur two and seven-tenth centimetres padhte hain. Doosra screw 3 2/10 cm ka hai. Jab bhi zyaada sateek naap chahiye, hum chhoti unit lete hain.

Tenths

Unit ke 10 barabar hisson mein se har ek one-tenth, 1/10, hai, aur aise 10 milkar ek unit banaate hain: 10 × 1/10 = 1. 3 4/10 units lamba pencil 3 units aur 4 one-tenths hai. Kyunki har unit khud 10 tenths hai, wahi pencil 30 + 4 = 34 tenths lamba hai, isliye 3 4/10 = 34/10. Sankhyaayein dhyaan se padho: 4 1/10 ko four and one-tenth, 4/10 ko four-tenths, 41/10 ko forty-one tenths aur 41 1/10 ko forty-one and one-tenth padhte hain. 4/10, 4 1/10, 41/10 aur 41 1/10 ko kram mein rakhne pe beech ki do barabar nikalti hain: 4/10 < 4 1/10 = 41/10 < 41 1/10.

Tenths ko bhi ones aur tens ki tarah joda aur ghataaya jaata hai. 2 7/10 m ke ribbon ko 3 6/10 m ke ribbon se jodo: 5 units aur 13 tenths, aur kyunki 10 tenths ek unit hain, kul 6 3/10 m. 12 4/10 mein se 6 7/10 ghataane ke liye tenths kam pad jaate hain, isliye 12 ki ek unit ko 10 tenths mein badla jaata hai, jisse 11 units aur 14 tenths bante hain; phir 14 − 7 = 7 tenths aur 11 − 6 = 5 units, to antar 5 7/10 hai.

Hundredths

8 9/10 units lambi kaagaz ki patti aadhi mod di jaati hai. Uski nayi lambaai 4 4/10 aur 4 5/10 ke beech hai, par tenths waala ruler theek jagah nahi bata sakta. Isliye har tenth ko phir 10 hisson mein baanta jaata hai. Unit mein 10 tenths, aur har tenth ke 10 hisse, yaani 100 chhote hisse, isliye har hissa unit ka one-hundredth, 1/100, hai. Muda kaagaz 4 4/10 5/100 pe khatm hota hai: 4 units, 4 tenths aur 5 hundredths. Kyunki 10 hundredths ek tenth hain, ye 4 units aur 45 hundredths bhi hai.

Ek hi lambaai kai tarah likhi ja sakti hai. 1 1/10 4/100 units ka taar 1 14/100 units bhi hai, aur 114/100 units bhi.

10 mein hi kyun baante?

Unit ko 4, 16 ya kisi bhi sankhya ke barabar hisson mein baanta ja sakta hai. Hum 10 isliye chunte hain kyunki Indian place value system mein 281 ka 2 hundreds, 8 tens aur 1 ones batata hai, aur har sthaan apne daayein waale sthaan ka 10 guna hai. 1 ko 10 se bhaag dene pe agla sthaan, tenths, milta hai; phir se bhaag dene pe hundredths, phir thousandths, aur aise hi bina ant ke. Yahi decimal system hai, jiska naam Latin decem, yaani das, se aaya hai, jo Sanskrit dasha se juda shabd hai.

Isliye 1000 thousandths ek unit, 100 thousandths ek tenth aur 10 thousandths ek hundredth banaate hain. Doosri taraf se, 100 tenths ek ten aur 1000 hundredths ek ten banaate hain.

Decimal point

Hum 4 hundreds + 5 tens + 6 ones ki jagah 456 likhte hain. Agar tenths ke shabd bhi hata dein, to 705 ka matlab 7 hundreds aur 5 ones, ya 7 tens aur 5 tenths, ya 7 units aur 5 hundredths ho sakta hai. Units ke sthaan ke baad lagaaya gaya decimal point ye shak door karta hai: ye 705, 70.5 aur 7.05 hain. 70.5 seventy point five, 7.05 seven point zero five, aur 0.274 zero point two seven four padha jaata hai. Chhote hisson ki badi ginti aasaani se badalti hai: 234 tenths = 20 + 3 + 4/10 = 23.4, aur 105 tenths = 10.5.

705, 70.5 aur 7.05 hundreds, tens, units, tenths aur hundredths ke chart mein, aur unhe kaise padhte hain — Point ki jagah se farq padta hai

Naap ki units mein decimals

Roz ki units isi pattern pe chalti hain. Ek centimetre 10 mm hai, isliye 1 mm = 0.1 cm, 5 mm = 0.5 cm aur 12 mm = 1.2 cm. Ek metre 100 cm hai, isliye 1 cm = 0.01 m aur 36 cm = 0.36 m; ek metre 1000 mm bhi hai, isliye 1 mm = 0.001 m. Ek kilogram 1000 g hai, isliye 1 g = 0.001 kg aur 465 g = 0.465 kg, aur ek gram 1000 mg hai. Ek rupaya 100 paise hai, isliye 1 paisa = ₹0.01 aur 36 paise = ₹0.36. 25 paise aur usse chhote sikke 2011 mein band ho gaye, par paise abhi bhi bills aur bank statements mein dikhte hain.

Lambaai, vajan aur paison ke badlaav: 1 mm = 0.1 cm, 1 cm = 0.01 m, 1 g = 0.001 kg, 1 paisa = ₹0.01 — Roz ki units mein decimals

1 g, 10 g, 100 g, 1 kg aur 10 kg ke chaawal ke dher, har ek pichhle ka das guna, kul 11.111 kg — Har sthaan mein ek digit

Ye kyun zaroori hai

Tenths aur hundredths is chapter ki baaki har cheez ki neenv hain. Aage dekho inhe number line pe kaise rakhte hain, decimals ki tulna mein, aur inke saath hisaab kaise karte hain, decimals jodna aur ghataana mein. Har sawaal ka jawab Chapter 3 ke NCERT solutions mein hai; poore Chapter 3 ke notes bhi dekho.